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Parameter estimation using relay feedback

  • Kalpana Dharmalingam

    Kalpana Dharmalingam pursued a PhD in process control at Anna University. She has published three research papers in refereed international journals and also presented 13 papers at national and international conferences. She has around 12 years of teaching and research experience. Currently, she is working as an assistant professor in the Department of Instrumentation Engineering, Madras Institute of Technology Campus, Anna University, Chennai. Her fields of interest include linear and nonlinear system theory, autotuning using relay feedback, and applied soft computing.

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    and Thyagarajan Thangavelu

    Thyagarajan Thangavelu pursued a PhD in intelligent control at Anna University and postdoctoral research in autotuning at National Taiwan University (NTU), Taiwan. He has published over 100 research papers, authored three textbooks, guided 14 PhD scholars, secured R & D funding worth Rs 13 crores from various funding agencies, and received 13 awards. He served as the youngest HOD–Electronics and Instrumentation Engineering for 6 years and is currently serving as the Director of the Centre for University Industry Collaboration and also as the Director of Internal Quality Assurance Cell of Anna University. He is a senior member of IEEE (USA), SSI, IE (I), and ISTE.

Published/Copyright: April 14, 2018
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Abstract

In process industries, closed-loop step and closed-loop relay feedback tests are popularly used for estimating model parameters. In this paper, different methods available in the literature for parameter estimation using conventional techniques and techniques based on relay feedback test are surveyed by reviewing around 152 research articles published during the past three decades. Through a comprehensive survey of available literature, the parameter estimation methods are classified into two broad groups, namely conventional techniques and relay-based parametric estimation techniques. These relay-based techniques are further classified into two subgroups, namely single-input-single-output (SISO) systems and multi-input-multi-output systems (both square and nonsquare), and are revealed in a lucid manner with the help of benchmark examples and case studies. For the above categorized methods, the procedural steps involved in relay-based parametric estimation methods are also presented. To facilitate the readers, comparison tables are included to comprehend the results of different parametric estimation techniques available in the literature. The incorporation of quantitative and qualitative analysis of papers published in various journals in the above area with the help of pie charts and graphs would enable the readers to grasp the overview of the research activity being carried out in the relay feedback domain. At the end, the challenging issues in relay-based parametric estimation methods and the directions for future investigations that can be explored are also highlighted.

About the authors

Kalpana Dharmalingam

Kalpana Dharmalingam pursued a PhD in process control at Anna University. She has published three research papers in refereed international journals and also presented 13 papers at national and international conferences. She has around 12 years of teaching and research experience. Currently, she is working as an assistant professor in the Department of Instrumentation Engineering, Madras Institute of Technology Campus, Anna University, Chennai. Her fields of interest include linear and nonlinear system theory, autotuning using relay feedback, and applied soft computing.

Thyagarajan Thangavelu

Thyagarajan Thangavelu pursued a PhD in intelligent control at Anna University and postdoctoral research in autotuning at National Taiwan University (NTU), Taiwan. He has published over 100 research papers, authored three textbooks, guided 14 PhD scholars, secured R & D funding worth Rs 13 crores from various funding agencies, and received 13 awards. He served as the youngest HOD–Electronics and Instrumentation Engineering for 6 years and is currently serving as the Director of the Centre for University Industry Collaboration and also as the Director of Internal Quality Assurance Cell of Anna University. He is a senior member of IEEE (USA), SSI, IE (I), and ISTE.

References

Ahmed S, Huang B, Shah SL. Identification from step responses with transient initial conditions. J Process Contr 2008; 18: 121–130.10.1016/j.jprocont.2007.07.009Search in Google Scholar

Astrom KJ, Hagglund T. Automatic tuning of simple regulators with specifications on phase and amplitude margins. Automatica 1984; 20: 645–651.10.1016/0005-1098(84)90014-1Search in Google Scholar

Astrom KJ, Hagglund T. Automatic tuning of PID controllers, Research Triangle Park, North Carolina: Instrument Society of America, 1988.Search in Google Scholar

Astrom KJ, Hagglund T. New tuning methods for PID controllers. Proceedings European Control Conference, Rome, Italy, 1995a; 2456–2462.Search in Google Scholar

Astrom KJ, Hagglund T. PID controller: theory, design, and tuning, 2nd ed., Research Triangle Park, NC: ISA Society of America, 1995b.Search in Google Scholar

Astrom KJ, Hagglund T. Benchmark system for PID control. Preprint of IFAC PID2000 Workshop, Terrassa, Spain, 2000.10.1016/S1474-6670(17)38238-1Search in Google Scholar

Atherton DP. Relay autotuning: an overview and alternative approach. Ind Eng Chem Res 2006; 45: 4075–4080.10.1021/ie051363gSearch in Google Scholar

Atherton DP, Majhi S. Plant parameter identification under relay control. Proceedings in IEEE Conference on Decision & Control, USA, 1998.Search in Google Scholar

Bajarangbali, Majhi S. Relay based identification of systems. Int J Sci Eng Res 2012; 3: 1–4.Search in Google Scholar

Bajarangbali, Majhi S. Identification of underdamped process dynamics. Syst Sci Control Eng 2014; 2: 541–548.10.1080/21642583.2014.927809Search in Google Scholar

Bajarangbali, Majhi S. Identification of integrating and critically damped systems with time delay. Control Theory Technol 2015; 13: 29–36.10.1007/s11768-015-4018-5Search in Google Scholar

Bajarangbali R, Majhi S, Pandey S. Identification of FOPDT and SOPDT process dynamics using closed loop test. ISA Trans 2014; 53: 1223–1231.10.1016/j.isatra.2014.05.014Search in Google Scholar PubMed

Balaguer P, Alfaro V, Arrieta O. Second order inverse response process identification from transient step response. ISA Trans 2011; 50: 231–238.10.1016/j.isatra.2010.11.005Search in Google Scholar PubMed

Berner J, Hägglund T, Astrom KJ. Asymmetric relay autotuning – practical features for industrial use. Control Eng Pract 2016a; 54: 231–245.10.1016/j.conengprac.2016.05.017Search in Google Scholar

Berner J, Hägglund T, Astrom KJ. Improved relay autotuning using normalized time delay. American Control Conference 2016b; 1869–1875.10.1109/ACC.2016.7525191Search in Google Scholar

Berner J, Soltesz K, Hagglund T, Astrom KJ. Autotuner identification of TITO systems using a single relay feedback experiment. IFAC-Papers On Line 2017; 50: 6619–6623.10.1016/j.ifacol.2017.08.922Search in Google Scholar

Bi Q, Wang QG, Hang CC. Relay-based estimation of multiple points on process frequency response. Automatica 1997; 33: 1753–1757.10.1016/S0005-1098(97)00090-3Search in Google Scholar

Bi Q, Cai WJ, Lee EL, Wang QG, Hang CC, Zhang Y. Robust identification of first-order plus dead-time model from step response. Control Eng Pract 1999; 7: 71–77.10.1016/S0967-0661(98)00166-XSearch in Google Scholar

Chang JW, Yu CC. The relative gain for non-square multivariable systems. Chem Eng Sci 1990; 45: 1309–1323.10.1016/0009-2509(90)87123-ASearch in Google Scholar

Chang R, Shen S, Yu CC. Derivation of transfer function from relay feedback systems. Ind Eng Chem Res 1992; 31: 855–860.10.1021/ie00003a030Search in Google Scholar

Chen J, He ZF, Qi X. A new control method for MIMO first order time delay non-square systems. J Process Contr 2011; 21: 538–546.10.1016/j.jprocont.2011.01.007Search in Google Scholar

Cheng YC, Yu CC. Relay feedback identification for actuators with hysteresis. Ind Eng Chem Res 2000; 39: 4239–4249.10.1021/ie000008hSearch in Google Scholar

Chiang RC, Yu CC. Monitoring procedure for intelligent control: on-line identification of maximum closed-loop log modulus. Ind Eng Chem Res 1993; 32: 90–99.10.1021/ie00013a013Search in Google Scholar

Chidambaram M, Sathe V. Relay autotuning for identification and control, New Delhi: Cambridge University Press, 2014.10.1017/CBO9781107415966Search in Google Scholar

Chien IL, Chung YC, Chen BS, Chuang CY. Simple PID controller tuning method for processes with inverse response plus dead time or large overshoot response plus dead time. Ind Eng Chem Res 2003; 40: 4461–4467.10.1021/ie020726zSearch in Google Scholar

Esakkiappan C, Thyagarajan T. Modeling and control of inverse response process with time delay using relay feedback test. Proceedings of the 2010 International Conference on Modeling, Identification and Control, Okayama, Japan, 2010: 17–19.Search in Google Scholar

Esakkiappan C, Thyagarajan T. Identification of inverse response process with time delay using relay feedback test. Int J Comput Appl Technol 2012; 44: 269–275.10.1504/IJCAT.2012.050114Search in Google Scholar

Esakkiappan C, Thyagarajan T, Sharmila GV. Identification of model structure from the relay response using artificial intelligence based pattern recognition techniques. Eur J Sci Res 2012a; 74: 61–68.Search in Google Scholar

Esakkiappan C, Thyagarajan T, Sujatha V. Identification of over damped second order plus dead time process using relay feedback test. IEEE–International Conference on Advances in Engineering, Science and Management, Nagapattinam, Tamil Nadu, India, 2012b; 31: 396–401.Search in Google Scholar

Friman M, Waller KV. A two-channel relay for autotuning. Ind Eng Chem Res 1997; 36: 2662–2671.10.1021/ie970013uSearch in Google Scholar

Ghorai P, Majhi S, Pandey S. Modeling and identification of real-time processes based on nonzero setpoint autotuning test. J Dyn Sys Meas Control 2016a; 139: 021010.10.1115/1.4034802Search in Google Scholar

Ghorai P, Pandey S, Majhi S. A new relay feedback scheme for identification of non-minimum phase processes with time delay. IEEE Conference on Decision and Control; Las Vegas, USA, 2016b: 1–6.10.1109/CDC.2016.7798569Search in Google Scholar

Ghorai P, Majhi S, Pandey S. A real-time approach for dead-time plant transfer function modeling based on relay autotuning. Int J Dyn Control 2017; 6: 1–11.10.1007/s40435-017-0359-xSearch in Google Scholar

Gu D, Ou L, Wang P, Zhang W. Relay feedback autotuning method for integrating processes with inverse response and time delay. Ind Eng Chem Res 2006; 45: 3119–3132.10.1021/ie050739nSearch in Google Scholar

Gu D, Cai Y, Wang P, Zhang W, Gu D. Biased relay feedback with PD controller for identification of unstable processes with large time delay. Proceedings of the 2007 American Control Conference, USA, 2007; 112–117.10.1109/ACC.2007.4282802Search in Google Scholar

Hang CC, Astrom KJ, Ho WK. Relay auto-tuning in the presence of static load disturbance. Automatica 1993; 29: 563–564.10.1016/0005-1098(93)90159-QSearch in Google Scholar

Hang CC, Astrom KJ, Wang QG. Relay feedback auto-tuning of process controllers – a tutorial review. J Process Contr 2002; 12: 143–162.10.1016/S0959-1524(01)00025-7Search in Google Scholar

Hofreiter M. Biased-relay feedback identification for time delay systems. IFAC-PapersOnLine 2017; 50: 14620–14625.10.1016/j.ifacol.2017.08.1740Search in Google Scholar

Hord M, Skogestad S. Improved independent design of robust decentralized controllers. Model Ident Control 1994; 15: 119–125.Search in Google Scholar

Huang CT, Clements WC. Parameter estimation for the second-order-plus-dead-time model. Ind Eng Chem Process Des Dev 1982; 21: 601–603.10.1021/i200019a011Search in Google Scholar

Huang H, Chen C, Lai C, Wang G. Autotuning for model-based PID controllers. AIChE J 1996; 42: 2687–2691.10.1002/aic.690420930Search in Google Scholar

Huang HP, Lee MW, Chen CL. A system of procedures for identification of simple models using transient step response. Ind Eng Chem Res 2001; 40: 1903–1915.10.1021/ie0005001Search in Google Scholar

Huang HP, Jeng JC, Luo KY. Auto-tune system using single-run relay feedback test and model-based controller design. J Process Contr 2005; 15: 713–727.10.1016/j.jprocont.2004.11.004Search in Google Scholar

Jeng JC, Lee MW, Huang HP. Identification of block-oriented nonlinear processes using designed relay feedback tests. Ind Eng Chem Res 2005; 44: 2145–2155.10.1021/ie049484oSearch in Google Scholar

Kalpana D, Thyagarajan T, Gokulraj N. Modeling and control of non-square MIMO system using relay feedback. ISA Trans 2015a; 59: 408–417.10.1016/j.isatra.2015.09.012Search in Google Scholar

Kalpana D, Thyagarajan T, Thenral R. Improved identification and control of 2-by-2 MIMO system using relay feedback. Control Eng Appl Inf 2015b; 17: 23–32.Search in Google Scholar

Kaya I. Parameter estimation for integrating processes using relay feedback control under static load disturbances. Ind Eng Chem Res 2006; 45: 4726–4731.10.1021/ie060270bSearch in Google Scholar

Kaya I, Atherton DP. An improved parameter estimation method using limit cycle data. Proc. in UKACC International Conference on Control, Sussex, UK, 1998.10.1049/cp:19980311Search in Google Scholar

Kaya I, Atherton DP. Parameter estimation from relay auto tuning with asymmetric limit cycle data. J Process Contr 2001; 11: 429–439.10.1016/S0959-1524(99)00073-6Search in Google Scholar

Kim YH. PI controller tuning using modified relay feedback method. J Chem Eng Jpn 1995; 28: 118–121.10.1252/jcej.28.118Search in Google Scholar

Kim JS, Byeon J, Chun D, Sung SW, Lee J. Relay feedback method for processes under noisy environments. AIChE J 2010; 56: 560–562.10.1002/aic.11982Search in Google Scholar

Kim JS, Byeon J, Sung SW, Lee J, Ryoo W, Edgar TF. Multiple switching relays for the estimation of ultimate data. Int J Control Autom Syst 2011; 9: 294–300.10.1007/s12555-011-0211-6Search in Google Scholar

Kolavennu S, Palanki S, Cockburn JC. Nonlinear control of nonsquare multivariable systems. Chem Eng Sci 2001; 56:2103–2110.10.1016/S0009-2509(00)00470-XSearch in Google Scholar

Korbel J, Prokop R. Accuracy of relay identification depending on relay parameters. Procedia Eng 2015; 100: 370–375.10.1016/j.proeng.2015.01.380Search in Google Scholar

Lagunas-Jimenez R, Oritz-Moctezuma MB, Moo-Yam V, Gonzalez-Aguilar A. Relay feedback test used for process identification and PID tuning controller by genetic algorithms. Programacion Matematica y Software 2015; 7: 27–35.Search in Google Scholar

Lavanya K, Umamaheswari B, Panda RC. Identification of second order plus dead time systems using relay feedback test. Ind Chem Eng 2006; 48: 94–102.Search in Google Scholar

Lee J, Sung SW, Edgar TF. Area method for a biased relay feedback system. Ind Eng Chem Res 2010; 49: 8016–8020.10.1021/ie1003027Search in Google Scholar

Lee J, Kim JS, Byeon J, Sung SW, Edgar TF. Relay feedback identification for processes under drift and noisy environments. AIChE J 2011; 57: 1809–1816.10.1002/aic.12394Search in Google Scholar

Leva A. PID auto-tuning algorithm based on relay feedback. IEEE Proc Pt D 1993; 140: 328–338.10.1049/ip-d.1993.0044Search in Google Scholar

Li W, Eskiant E, Luyben WL. An improved autotune identification method. Ind Eng Chem-Res 1991; 30: 1530–1541.10.1021/ie00055a019Search in Google Scholar

Lin YD, Huang HP, Yu CC. Relay feedback tests for highly nonlinear processes: reactive distillation. Ind Eng Chem Res 2006; 45: 4081–4092.10.1021/ie0514105Search in Google Scholar

Liu T, Gao F. Identification of integrating and unstable processes from relay feedback. Comput Chem Eng 2008a; 32: 3038–3056.10.1016/j.compchemeng.2008.04.006Search in Google Scholar

Liu T, Gao F. Alternative identification algorithms for obtaining a first-order stable/unstable process model from a single relay feedback test. Ind Eng Chem Res 2008b; 47: 1140–1149.10.1021/ie070856dSearch in Google Scholar

Liu T, Gao F. A frequency domain step response identification method for continuous-time processes with time delay. J Process Contr 2010; 20: 800–809.10.1016/j.jprocont.2010.04.007Search in Google Scholar

Liu T, Gao F. Industrial process identification and control design: step-test and relay-experiment-based methods, London: Springer, 2012.10.1007/978-0-85729-977-2Search in Google Scholar

Liu T, Gao F, Wang Y. A systematic approach for on-line identification of second-order process model from relay feedback test. AIChE J 2008; 54: 1560–1578.10.1002/aic.11476Search in Google Scholar

Liu T, Yao K, Gao F. Identification and autotuning of temperature control system with application to injection molding. IEEE Trans Control Syst Technol 2009; 17: 1282–1294.10.1109/TCST.2008.2006746Search in Google Scholar

Liu J, Shroff NB, Sherali HD. Optimal power allocation in multi-relay MIMO cooperative networks: theory and algorithms. IEEE J Sel Areas Commun 2012a; 30: 331–340.10.1109/JSAC.2012.120212Search in Google Scholar

Liu J, Wu J, Xiong Z, Zhu X. Servo system identification using relay feedback a time-domain approach. J Manuf Sci Eng 2012b; 134: 061012.10.1115/1.4007715Search in Google Scholar

Liu T, Wang QG, Huang HP. A tutorial review on process identification from step or relay feedback test. J Process Contr 2013; 23: 1597–1623.10.1016/j.jprocont.2013.08.003Search in Google Scholar

Loh EJ, Chiu MS. Robust decentralized control of non-square systems. Chem Eng Commun 1997; 158: 157–180.10.1080/00986449708936586Search in Google Scholar

Loh AP, Hang CC, Quek CK, Vsanani VU. Autotuning of mutiloop proportional-integral controllers using relay feedback. Ind Eng Chem Res 1993; 32: 1102–1107.10.1021/ie00018a017Search in Google Scholar

Luyben WL. Simple method for tuning SISO controllers in a multivariable system. Ind Eng Chem Res 1986; 25: 654–660.10.1021/i200034a010Search in Google Scholar

Luyben WL. Derivation of transfer functions for highly nonlinear distillation columns. Ind Eng Chem Res 1987; 26: 2490–2495.10.1021/ie00072a017Search in Google Scholar

Luyben WL, Eskinat E. Nonlinear auto-tune identification. Int. J. Control 1994; 59: 595–626.10.1080/00207179408923096Search in Google Scholar

Luyben WL. Tuning proportional-integral-derivative controllers for integrator/deadtime processes. Ind Eng Chem Res 1996; 35: 3480–3483.10.1021/ie9600699Search in Google Scholar

Luyben WL. Getting more information from relay-feedback tests. Ind Eng Chem Res 2001; 40: 4391–4402.10.1021/ie010142hSearch in Google Scholar

Ma MD, Zhu XJ. Performance assessment and controller design based on modified relay feedback. Ind Eng Chem Res 2005; 44: 3538–3546.10.1021/ie048831rSearch in Google Scholar

Majhi S. Relay based identification of processes with time delay. J Process Contr 2007a; 17: 93–101.10.1016/j.jprocont.2006.09.005Search in Google Scholar

Majhi S. Relay-based identification of a class of non-minimum phase SISO processes. IEEE Trans Autom Control 2007b; 52: 134–139.10.1109/TAC.2006.886520Search in Google Scholar

Majhi S, Atherton DP. Autotuning and controller design for processes with small time delays. IEEE Proc Control Theory Appl 1999; 146: 415–425.10.1049/ip-cta:19990433Search in Google Scholar

Majhi S, Atherton DP. Online tuning of controllers for an unstable FOPDT process. IEEE Proc Control Theory Appl 2000a; 147: 421–427.10.1049/ip-cta:20000245Search in Google Scholar

Majhi S, Atherton DP. Obtaining controller parameters for a new Smith predictor using autotuning. Automatica 2000b; 36: 1651–1658.10.1016/S0005-1098(00)00085-6Search in Google Scholar

Majhi S, Litz L. Relay based estimation of process model parameters. Proc. in American Control Conference, Denver, Colorado, 2003.Search in Google Scholar

Marchetti G, Scali C. Use of modified relay techniques for the design of model-based controllers for chemical processes. Ind Eng Chem Res 2000; 39: 3325–3334.10.1021/ie990657xSearch in Google Scholar

Marchetti G, Scali C, Lewin DR. Identification and control of open loop unstable processes by relay methods. Automatica 2001; 37: 2049–2055.10.1016/S0005-1098(01)00181-9Search in Google Scholar

Marlin TE. Process control. Designing processes and control system for dynamic performance, New York: McGraw-Hill, 1995.Search in Google Scholar

Mehta U. Modelling of integrating processes with time delay using a relay response curve. Indian Chem Eng 2014; 56: 1–11.10.1080/00194506.2014.883726Search in Google Scholar

Menani S, Koivo H. New approach on the automatic tuning of multivariable PI controllers using relay feedback. Int J Syst Sci 2010; 34: 93–110.10.1080/0020772031000115614Search in Google Scholar

Mikles J, Fikar M. Process modelling, identification, and control, Berlin: Springer, 2007.Search in Google Scholar

Muske K, Young J, Grosdidier P, Tani S. Crude unit product quality control. Comput Chem Eng 1991; 15: 629–638.10.1016/0098-1354(91)87024-4Search in Google Scholar

Nikita S, Chidambaram M. Relay auto tuning of decentralized PID controllers for unstable TITO systems. Indian Chem Eng 2016a; 60: 1–15.10.1080/00194506.2015.1129293Search in Google Scholar

Nikita S, Chidambaram M. Improved relay auto-tuning of PID controllers for unstable SOPTD systems. Chem Eng Commun 2016b; 203: 769–782.10.1080/00986445.2015.1103229Search in Google Scholar

Nikita S, Chidambaram M. Case studies of improved relay auto-tuning of PID controllers for TITO Systems. Indian Chem Eng 2017; 1–9. DOI:10.1080/00194506.2017.1298479.10.1080/00194506.2017.1298479Search in Google Scholar

O’Dwyer A. PI and PID controller tuning rules for time delay processes: a summary. Proc. of Irish Signals and Systems Conference, National University of Ireland, Dublin, 1999.Search in Google Scholar

Ogunnaike BA, Ray WH. Process dynamics, modeling and control, Oxford, New York: Oxford Univ. Press, 1994.Search in Google Scholar

Padhy PK, Majhi S. Relay based PI-PD design for stable and unstable FOPDT processes. Comput Chem Eng 2006; 30: 790–796.10.1016/j.compchemeng.2005.12.013Search in Google Scholar

Panda RC. Estimation of parameters of under-damped second order plus dead time processes using relay feedback. Comput Chem Eng 2006; 30: 832–837.10.1016/j.compchemeng.2005.12.010Search in Google Scholar

Panda RC, Yu CC. Exact analytical expressions for relay feedback responses – second order plus dead time processes. 4th Asian Control Conf., Singapore, 2002.Search in Google Scholar

Panda RC, Yu CC. Analytical expressions for relay feedback responses. J Process Contr 2003; 13: 489–501.10.1016/S0959-1524(02)00119-1Search in Google Scholar

Panda RC, Yu CC. Shape factor of relay response curves and its use in autotuning. J Process Contr 2005; 15: 893–906.10.1016/j.jprocont.2005.02.004Search in Google Scholar

Panda RC, Vijayan V, Sujatha V, Deepa P, Manamali D, Mandal AB. Parameter estimation of integrating and time delay processes using single relay feedback test. ISA Trans 2011; 50: 529–537.10.1016/j.isatra.2011.06.004Search in Google Scholar

Pandey S, Majhi S. Limit cycle-based exact estimation of FOPDT process parameters under input/output disturbances: a state-space approach. Int J Syst Sci 2016; 48: 118–117.10.1080/00207721.2016.1160455Search in Google Scholar

Pandey S, Majhi S, Ghorai P. A new modelling and identification scheme for time-delay systems with experimental investigation: a relay feedback approach. Int J Syst Sci 2017; 48: 1932–1940.10.1080/00207721.2017.1290299Search in Google Scholar

Park JH, Sung SW, Lee IB. Improved relay auto-tuning with static load disturbance. Automatica 1997; 33: 711–715.10.1016/S0005-1098(96)00174-4Search in Google Scholar

Park JH, Lee I. An enhanced process identification method for automatic tuning of PID controller. Proceedings of the 14th IFAC World Congress, Beijing, China 1999; 721–726.Search in Google Scholar

Park HC, Koo DG, Youn JH, Lee J, Sung SW. Relay feedback approaches for the identification of Hammerstein-type nonlinear processes. Ind Eng Chem Res 2004; 43: 735–740.10.1021/ie030382sSearch in Google Scholar

Pekar L. A modified relay-feedback parameterization of time-delay models: theory and application. International Journal of Mathematical Models and Methods in Applied Sciences 2013; 12: 973–983.Search in Google Scholar

Plamor ZJ, Halevi Y, Krasney N. Automatic tuning of decentralized PID controllers for TITO processes. Proceedings of IFAC 12th World Congress, Sydney, Australia 1993; 2: 311–314.10.1016/S1474-6670(17)48429-1Search in Google Scholar

Pu DL, Wu JH, Xiong ZH, Sheng XJ, Ding H. Nonlinear analysis and parameters identification of servo mechanism with relay feedback. Assembly Autom 2010; 30: 221–227.10.1108/01445151011061118Search in Google Scholar

Rake H. Step response and frequency response methods. Automatica 1980; 16: 519–526.10.1016/B978-0-08-027583-3.50006-0Search in Google Scholar

Ramakrishnan V, Chidambaram M. Estimation of a SOPTD transfer function model using a single asymmetrical relay feedback test. Comput Chem Eng 2003; 27: 1779–1784.10.1016/S0098-1354(03)00138-8Search in Google Scholar

Rangaiah GP, Krishnaswamy PR. Estimating second-order dead time parameters. Ind Eng Chem Res 1994; 33: 1867–1871.10.1021/ie00031a029Search in Google Scholar

Rangaiah GP, Krishnaswamy PR. Estimating second-order dead time parameters from underdamped process transients. Chem Eng Sci 1996; 51: 1149–1155.10.1016/S0009-2509(96)80013-3Search in Google Scholar

Reeves DE, Arkun Y. Interaction measures for non-square decentralized control structure. AIChE J 1989; 35: 603–613.10.1002/aic.690350410Search in Google Scholar

Seborg DE, Edgar TF, Mellichamp DA. Process dynamics and control, 2nd ed., New Jersey: John Wiley & Sons, 2004.Search in Google Scholar

Sekara TB, Matausek MR. Relay-based critical point estimation of a process with the PID controller in the loop. Automatica 2011; 47: 1084–1088.10.1016/j.automatica.2011.02.010Search in Google Scholar

Selvakumar C, Panda RC. Modeling relay responses for multivariable processes. Indian Chem Eng 2010; 52: 315–324.10.1080/00194506.2010.547766Search in Google Scholar

Shen SH, Yu CC. Use of relay-feedback test for automatic tuning of multivariable system. AIChe J 1994; 40: 627–646.10.1002/aic.690400408Search in Google Scholar

Shen SH, Wu SJ, Yu CC. Autotune identification under load disturbance. Ind Eng Chem Res 1996a; 35: 1642–1651.10.1021/ie950480gSearch in Google Scholar

Shen SH, Wu JS, Yu CC. Use of biased-relay feedback for system identification. AIChE J 1996b; 42: 1174–1180.10.1002/aic.690420431Search in Google Scholar

Shen SH, Yu HD, Yu CC. Use of saturation-relay feedback for autotune identification. Chem Eng Sci 1996c; 51: 1187–1198.10.1016/0009-2509(95)00371-1Search in Google Scholar

Skogestad S. Simple analytic rules for model reduction and PID controller tuning. J Process Contr 2003; 13: 291–309.10.1016/S0959-1524(02)00062-8Search in Google Scholar

Sivakumar E, Vivek S, Chidambaram M. Improved saturation relay test for systems with large dead time. Ind Eng Chem Res 2005; 44: 2183–2190.10.1021/ie049242oSearch in Google Scholar

Soltesz K, Hagglund T, Astrom KJ. Transfer function parameter identification by modified relay feedback. Proc. of American Control Conference, Baltimore, USA, 2010.10.1109/ACC.2010.5531322Search in Google Scholar

Srinivasan K, Chidambaram M. Modified relay feedback method for improved system identification. Comput Chem Eng 2003; 27: 727–732.10.1016/S0098-1354(02)00257-0Search in Google Scholar

Sujatha V, Panda RC. Relay feedback based time domain modeling of linear 3-by-3 MIMO system. Am J Syst Sci 2012a; 1: 17–22.Search in Google Scholar

Sujatha V, Panda RC. Relay feedback-based time domain modeling of off-diagonal elements of linear 2-by-2 MIMO systems. Can J Chem Eng 2012b; 91: 271–278.10.1002/cjce.21654Search in Google Scholar

Sujatha V, Panda RC. Estimation of parameters for disturbance model of 3-by-3 MIMO process using relay feedback. Columbia International Publishing. Journal of Modeling, Simulation, Identification and Control 2013; 1: 27–40.Search in Google Scholar

Sung SW, Lee IB. Enhanced relay feedback method. Ind Eng Chem Res 1997; 36: 5526–5530.10.1021/ie970332lSearch in Google Scholar

Sung SW, Lee J. Relay feedback method under large static disturbances. Automatica 2006; 42: 353–356.10.1016/j.automatica.2005.10.001Search in Google Scholar

Sung SW, Park JH, Lee IB. Modified relay feedback method. Ind Eng Chem Res 1995; 34: 4133–4135.10.1021/ie00038a059Search in Google Scholar

Sung SW, Lee J, Lee DH, Han JH, Park YS. Two-channel relay feedback method under static disturbances. Ind Eng Chem Res 2006; 45: 4071–4074.10.1021/ie0513393Search in Google Scholar

Sung SW, Lee J, Lee IB. Process Identification and PID Control, Singapore: Wiley, 2009.10.1002/9780470824122Search in Google Scholar

Tan KK, Wang QG, Lee, TH, Gan CH. Automatic tuning of gain-scheduled control for asymmetrical processes. Control Eng Process 1998; 6: 1353–1363.10.1016/S0967-0661(98)00091-4Search in Google Scholar

Tan KK, Lee TH, Jiang X. On-line relay identification, assessment and tuning of PID controller. J Process Contr 2001; 11: 483–496.10.1016/S0959-1524(00)00012-3Search in Google Scholar

Tan KK, Lee TH, Huang S, Chua KY, Ferdous R. Improved critical point estimation using a pre-load relay. J Process Contr 2006; 16: 445–455.10.1016/j.jprocont.2005.09.004Search in Google Scholar

Tang W, Wang Z, Zhang J, Wang M. A relay feedback based autotuning PID Controller and its application to pulp consistency control. Proc. of Chinese Control Conference, Beijing, China, 2010.Search in Google Scholar

Thyagarajan T, Yu CC. Improved autotuning using the shape factor from relay feedback. Ind Eng Chem Res 2003; 42: 4425–4440.10.1021/ie011006fSearch in Google Scholar

Valchos C, Williams D, Gomm JB. Solution to the shell control problem using genetically tuned PID controllers. Control Eng Pract 2002; 10: 151–163.10.1016/S0967-0661(01)00115-0Search in Google Scholar

Vivek S, Chidambaram M. Identification using single symmetrical relay feedback test. Comput Chem Eng 2005a; 29: 1625–1630.10.1016/j.compchemeng.2005.01.002Search in Google Scholar

Vivek S, Chidambaram M. An improved relay auto tuning of PID controllers for unstable FOPTD systems. Comput Chem Eng 2005b; 29: 2060–2068.10.1016/j.compchemeng.2005.05.004Search in Google Scholar

Wang YG, Shao HH. PID autotuner based on gain and phase margin specifications. Ind Eng Chem Res 1999; 38: 3007–3012.10.1021/ie9808007Search in Google Scholar

Wang QG, Zhang Y. Robust identification of continuous systems with dead-time from step responses. Automatica 2001; 37: 377–390.10.1016/S0005-1098(00)00177-1Search in Google Scholar

Wang QG, Hang CC, Bi Q. Process frequency response estimation from relay feedback. Control Eng Process 1997a; 5: 1293–1302.10.1016/S0967-0661(97)84368-7Search in Google Scholar

Wang QG, Hang CC, Zou B. Low-order modeling from relay feedback. Ind Eng Chem Res 1997b; 36: 375–381.10.1021/ie960412+Search in Google Scholar

Wang QG, Hang CC, Zou B. A frequency response approach to auto-tuning of multivariable controllers. Chem Eng Res Design 1997c; 75: 797–806.10.1016/S1474-6670(17)58512-2Search in Google Scholar

Wang QG, Hang CC, Bi Q. A technique for frequency response identification from relay feedback. IEEE Trans Control Syst Technol 1999a; 7: 122–128.10.1109/87.736766Search in Google Scholar

Wang QG, Hang CC, Zhu SA, Bi Q. Implementation and testing of an advanced relay auto-tuner. J Process Contr 1999b; 9: 291–300.10.1016/S0959-1524(99)00003-7Search in Google Scholar

Wang QG, Guo X, Zhang Y. Direct identification of continuous time delay systems from step responses. J. Process Contr 2001; 11: 531–542.10.1016/S0959-1524(00)00031-7Search in Google Scholar

Wang QG, Lee TH, Lin C. Relay feedback: analysis, identification and control, London: Springer, 2003.10.1007/978-1-4471-0041-6Search in Google Scholar

Wang QG, Liu M, Hang CC, Tang W. Robust process identification from relay tests in the presence of nonzero initial conditions and disturbance. Ind Eng Chem Res 2006; 45: 4063–4070.10.1021/ie051317gSearch in Google Scholar

Wang QG, Liu M, Hang CC, Zhang Y, Zhang Y, Zheng WX. Integral identification of continuous-time delay systems in the presence of unknown initial conditions and disturbances from step tests. Ind Eng Chem Res 2008; 47: 4929–4936.10.1021/ie071532sSearch in Google Scholar

Wardle AP, Wood RM. Problems of application of theoretical feed-forward control models to industrial scale fractionating plants. ICheME Symp 1969; 32: 68–81.Search in Google Scholar

Wood RK, Berry MW. Terminal composition control of a binary distillation column. Chem Eng Sci 1973; 28: 1707–1717.10.1016/0009-2509(73)80025-9Search in Google Scholar

Yu CC. Autotuning of PID controllers: a relay feedback approach, London: Springer, 2006.Search in Google Scholar

Zheng WX. Identification of closed-loop systems with low-order controllers. Automatica 1996; 32: 1753–1757.10.1016/S0005-1098(96)80015-XSearch in Google Scholar

Received: 2017-10-20
Accepted: 2018-03-01
Published Online: 2018-04-14
Published in Print: 2019-04-24

©2019 Walter de Gruyter GmbH, Berlin/Boston

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