Unified fractional indirect IMC-based hybrid dual-loop strategy for unstable and integrating type CSTRs
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Deepak Kumar
Abstract
Controlling unstable and integrating type continuously stirred tank reactors (CSTRs) are more difficult due to the presence of poles in the right half and at the origin of the s-plane respectively. The existence of dead-time needs more efficient control requirements for CSTRs. In this work, a modified indirect fractional-order internal model control proportional-derivative (MIFOIMC-PD) decoupled dual-loop control strategy is suggested for unstable and integrating plants with dead time. The external-loop controller is designed using the MIFOIMC strategy for obtaining adequate servo performance. PD controller is designed such that it stabilizes the plant while disturbances occur. Decoupled nature of the suggested strategy allows this PD controller to be designed without considering the external-loop dynamics. Reference tracking and disturbance elimination capabilities of the suggested method are also quantitatively compared with reported methods. It is established that the suggested MIFOIMC-PD control architecture controls CSTRs more effectively than some lately reported schemes.
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Author contributions: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.
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Research funding: None declared.
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Conflict of interest statement: The authors declare no conflicts of interest regarding this article.
References
Ajmeri, M., and A. Ali. 2015. “Two Degree of Freedom Control Scheme for Unstable Processes with Small Time Delay.” ISA Transactions 56: 308–26, https://doi.org/10.1016/j.isatra.2014.12.007.Suche in Google Scholar PubMed
Ali, A., and S. Majhi. 2010. “PID Controller Tuning for Integrating Processes.” ISA Transactions 49 (1): 70–8, https://doi.org/10.1016/j.isatra.2009.09.001.Suche in Google Scholar PubMed
Anil, C., and R. P. Sree. 2015. “Tuning of PID Controllers for Integrating Systems Using Direct Synthesis Method.” ISA Transactions 57: 211–9, https://doi.org/10.1016/j.isatra.2015.03.002.Suche in Google Scholar PubMed
Anwar, M. N., and S. Pan. 2015. “A Frequency Response Model Matching Method for PID Controller Design for Processes with Dead-Time.” ISA Transactions 55: 175–87, https://doi.org/10.1016/j.isatra.2014.08.020.Suche in Google Scholar PubMed
Arrieta, O., R. Vilanova, and A. Visioli. 2011. “Proportional-integral-derivative Tuning for Servo/regulation Control Operation for Unstable and Integrating Processes.” Industrial & Engineering Chemistry Research 50 (6): 3327–34, https://doi.org/10.1021/ie101012z.Suche in Google Scholar
Aryan, P., and L. Raja. 2022. “A Novel Equilibrium Optimized Double-Loop Control Scheme for Unstable and Integrating Chemical Processes Involving Dead Time.” June, https://doi.org/10.1515/ijcre-2022-0007.Suche in Google Scholar
Bequette, B. W. 2003. Process Control: Modelling Design and Simulation. New Delhi: Prentice Hall Professional.Suche in Google Scholar
Babu, D. C., D. B. S. Kumar, and R. P. Sree. 2017. “Tuning of PID Controllers for Unstable Systems Using Direct Synthesis Method.” Indian Chemical Engineer 59 (3): 215–41, doi:https://doi.org/10.1080/00194506.2016.1255570.Suche in Google Scholar
Begum, K. G., A. S. Rao, and T. K. Radhakrishnan. 2016. “Maximum Sensitivity Based Analytical Tuning Rules for PID Controllers for Unstable Dead Time Processes.” Chemical Engineering Research and Design 109: 593–606, https://doi.org/10.1016/j.cherd.2016.03.003.Suche in Google Scholar
Begum, K. G., A. Seshagiri Rao, and T. K. Radhakrishnan. 2017. “Enhanced IMC Based PID Controller Design for Non-minimum Phase (NMP) Integrating Processes with Time Delays.” ISA Transactions 68: 223–34, https://doi.org/10.1016/j.isatra.2017.03.005.Suche in Google Scholar PubMed
Chakraborty, S., S. Ghosh, and A. K. Naskar. 2017. “I-PD Controller for Integrating Plus Time-Delay Processes.” IET Control Theory & Applications 11 (17): 3137–45, https://doi.org/10.1049/iet-cta.2017.0112.Suche in Google Scholar
Chandran, K., R. Murugesan, S. Gurusamy, K. Asan Mohideen, S. Pandiyan, A. Nayyar, M. Abouhawwash, and Y. Nam. 2020. “Modified Cascade Controller Design for Unstable Processes with Large Dead Time.” IEEE Access 8: 157022–36, https://doi.org/10.1109/ACCESS.2020.3019027.Suche in Google Scholar
Ediga, C. G., and S. R. Ambati. 2022. “Measurement Noise Filter Design for Unstable Time Delay Processes in Closed Loop Control.” International Journal of Dynamics and Control 10 (1): 138–61, https://doi.org/10.1007/s40435-021-00798-0.Suche in Google Scholar
Efe, M. Ö. 2011. “Fractional Order Systems in Industrial Automation-A Survey.” IEEE Transactions on Industrial Informatics 7 (4): 582–91, https://doi.org/10.1109/TII.2011.2166775.Suche in Google Scholar
Irshad, M., and A. Ali. 2020. “Robust PI-PD Controller Design for Integrating and Unstable Processes.” IFAC-PapersOnLine 53 (1): 135–40, https://doi.org/10.1016/j.ifacol.2020.06.023.Suche in Google Scholar
Jin, Q. B., and Q. Liu. 2014. “Analytical IMC-PID Design in Terms of Performance/robustness Tradeoff for Integrating Processes: From 2-Dof to 1-Dof.” Journal of Process Control 24 (3): 22–32, https://doi.org/10.1016/j.jprocont.2013.12.011.Suche in Google Scholar
Karan, S., and C. Dey. 2021. “Modified Smith Predictor-Based All-Proportional-Derivative Control for Second-Order Delay-Dominated Integrating Processes.” Asia-Pacific Journal of Chemical Engineering 16 (2): 1–20, https://doi.org/10.1002/apj.2591.Suche in Google Scholar
Karan, S., C. Dey, and S. Mukherjee. 2022. “Simple Internal Model Control Based Modified Smith Predictor for Integrating Time Delayed Processes with Real-Time Verification.” ISA Transactions 121: 240–57, https://doi.org/10.1016/j.isatra.2021.04.008.Suche in Google Scholar PubMed
Kaya, I. 2003. “A PI-PD Controller Design for Control of Unstable and Integrating Processes.” ISA Transactions 42 (1): 111–21, https://doi.org/10.1016/s0019-0578(07)60118-9.Suche in Google Scholar PubMed
Kaya, I. 2018. “I-PD Controller Design for Integrating Time Delay Processes Based on Optimum Analytical Formulas.” IFAC-PapersOnLine 51 (4): 575–80, https://doi.org/10.1016/j.ifacol.2018.06.157.Suche in Google Scholar
Kaya, I., and F. Peker. 2020. “Optimal I-PD Controller Design for Setpoint Tracking of Integrating Processes with Time Delay.” IET Control Theory & Applications 14 (18): 2814–24, https://doi.org/10.1049/iet-cta.2019.1378.Suche in Google Scholar
Kumar, D., P. Aryan, and G. L. Raja. 2022a. “Decoupled Double-Loop FOIMC-PD Control Architecture for Double Integral with Dead Time Processes.” Canadian Journal of Chemical Engineering: 1–13, https://doi.org/10.1002/cjce.24355.Suche in Google Scholar
Kumar, D., P. Aryan, and G. L. Raja. 2022b. “Design of a Novel Fractional-Order Internal Model Controller-Based Smith Predictor for Integrating Processes with Large Dead-Time.” Asia-Pacific Journal of Chemical Engineering 17 (1): 1–13, https://doi.org/10.1002/apj.2724.Suche in Google Scholar
Kumar, M., and R. S. Singh. 2016. “Comparison of Non-linear, Linearized 2nd Order and Reduced to FOPDT Models of CSTR Using Different Tuning Methods.” Resource-Efficient Technologies 2: S71–5, https://doi.org/10.1016/j.reffit.2016.11.003.Suche in Google Scholar
Kumar, D. B. S., and R. P. Sree. 2016. “Tuning of IMC Based PID Controllers for Integrating Systems with Time Delay.” ISA Transactions 63: 242–55, doi:https://doi.org/10.1016/j.isatra.2016.03.020.Suche in Google Scholar PubMed
Kumari, S., P. Aryan, D. Kumar, and G. L. Raja. 2022. “Hybrid Dual-Loop Control Method for Dead-Time Second-Order Unstable Inverse Response Plants with a Case Study on CSTR.” June: 1–11. (in press).10.1515/ijcre-2022-0035Suche in Google Scholar
Kumari, S., P. Aryan, and G. L. Raja. 2021. “Design and Simulation of a Novel FOIMC-PD/P Double-Loop Control Structure for CSTRs and Bioreactors.” International Journal of Chemical Reactor Engineering 19 (12): 1287–303, https://doi.org/10.1515/ijcre-2021-0140.Suche in Google Scholar
Lee, J., W. Cho, and T. F. Edgar. 2014. “Simple Analytic PID Controller Tuning Rules Revisited.” Industrial & Engineering Chemistry Research 53 (13): 5038–47, https://doi.org/10.1021/ie4009919.Suche in Google Scholar
Medarametla, P. K., and M. Manimozhi. 2018. “Novel Proportional–Integral–Derivative Controller with Second Order Filter for Integrating Processes.” Asia-Pacific Journal of Chemical Engineering 13 (3): 1–18, https://doi.org/10.1002/apj.2195.Suche in Google Scholar
Mukherjee, D., G. L. Raja, and P. Kundu. 2021. “Optimal Fractional Order IMC-Based Series Cascade Control Strategy with Dead-Time Compensator for Unstable Processes.” Journal of Control, Automation and Electrical Systems 32 (1): 30–41, https://doi.org/10.1007/s40313-020-00644-2.Suche in Google Scholar
Mukherjee, D., and L. Raja. 2022. “Improved Fractional Augmented Control Strategies for Continuously Stirred Tank Reactors.” May, https://doi.org/10.1002/asjc.2887.Suche in Google Scholar
Nema, S., and P. K. Padhy. 2015. “Identification and Cuckoo PI-PD Controller Design for Stable and Unstable Processes.” Transactions of the Institute of Measurement and Control 37 (6): 708–20, doi:https://doi.org/10.1177/0142331214546351.Suche in Google Scholar
Novella-Rodríguez, D. F., B. d. M. Cuéllar, J. F. Márquez-Rubio, M. Á. Hernández-Pérez, and M. Velasco-Villa. 2019. “PD–PID Controller for Delayed Systems with Two Unstable Poles: a Frequency Domain Approach.” International Journal of Control 92 (5): 1196–208, https://doi.org/10.1080/00207179.2017.1386326.Suche in Google Scholar
Ozyetkin, M. M. 2022. “An Approximation Method and PID Controller Tuning for Systems Having Integer Order and Non-integer Order Delay.” Alexandria Engineering Journal 61 (12): 11365–75, https://doi.org/10.1016/j.aej.2022.05.015.Suche in Google Scholar
Panda, R. C. 2009. “Synthesis of PID Controller for Unstable and Integrating Processes.” Chemical Engineering Science 64 (12): 2807–16, https://doi.org/10.1016/j.ces.2009.02.051.Suche in Google Scholar
Raja, G. L., and A. Ali. 2021. “New PI-PD Controller Design Strategy for Industrial Unstable and Integrating Processes with Dead Time and Inverse Response.” Journal of Control, Automation and Electrical Systems 32 (2): 266–80, https://doi.org/10.1007/s40313-020-00679-5.Suche in Google Scholar
Rao, A. S., V. S. R. Rao, and M. Chidambaram. 2009. “Direct Synthesis-Based Controller Design for Integrating Processes with Time Delay.” Journal of the Franklin Institute 346 (1): 38–56, doi:https://doi.org/10.1016/j.jfranklin.2008.06.004.Suche in Google Scholar
Trivedi, R., and P. K. Padhy. 2021. “Design of Indirect Fractional Order IMC Controller for Fractional Order Processes.” IEEE Transactions on Circuits and Systems II: Express Briefs 68 (3): 968–72, doi:https://doi.org/10.1109/TCSII.2020.3013404.Suche in Google Scholar
Vajta, M. 2000. “Some Remarks on Padé-Approximations.” In 3rd TEMPUS-INTCOM Symposium Vol.6, 1–6. http://wwwhome.math.utwente.nl/∼vajtam/publications/temp00-pade.pdf.Suche in Google Scholar
Vanavil, B., K. K. Chaitanya, and A. S. Rao. 2015. “Improved PID Controller Design for Unstable Time Delay Processes Based on Direct Synthesis Method and Maximum Sensitivity.” International Journal of Systems Science 46 (8): 1349–66, https://doi.org/10.1080/00207721.2013.822124.Suche in Google Scholar
Verma, B., and P. K. Padhy. 2018. “Optimal PID Controller Design with Adjustable Maximum Sensitivity.” IET Control Theory & Applications 12 (8): 1156–65, https://doi.org/10.1049/iet-cta.2017.1078.Suche in Google Scholar
Verma, B., and P. K. Padhy. 2019. “Indirect IMC-PID Controller Design.” IET Control Theory & Applications 13 (2): 297–305, https://doi.org/10.1049/iet-cta.2018.5454.Suche in Google Scholar
Vijayan, V., and R. C. Panda. 2012. “Design of PID Controllers in Double Feedback Loops for SISO Systems with Set-point Filters.” ISA Transactions 51 (4): 514–21, https://doi.org/10.1016/j.isatra.2012.03.003.Suche in Google Scholar PubMed
Wang, Y., and W. Cai. 2002. “Advanced Proportional-Integral-Derivative Tuning for Integrating and Unstable Processes with Gain and Phase Margin Specifications.” Industrial & Engineering Chemistry Research 41 (12): 2910–4.10.1021/ie000739hSuche in Google Scholar
Zhang, G., B. Tian, W. Zhang, and X. Zhang. 2019. “Optimized Robust Control for Industrial Unstable Process via the Mirror-Mapping Method.” ISA Transactions 86: 9–17, https://doi.org/10.1016/j.isatra.2018.10.040.Suche in Google Scholar PubMed
Zhong, Q. C. 2006. Robust Control of Time-Delay Systems, 17–43. Springer-Verlag London: Springer Science & Business Media.Suche in Google Scholar
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Artikel in diesem Heft
- Frontmatter
- Articles
- Unified fractional indirect IMC-based hybrid dual-loop strategy for unstable and integrating type CSTRs
- Oxidative desulfurization of model and real fuel samples with natural zeolite-based catalysts: experimental design and optimization by Box–Behnken method
- Non-contact heating efficiency of flowing liquid effected by different susceptors in high-frequency induction heating system
- Gas–liquid mixing in the stirred tank equipped with semi-circular tube baffles
- Customizing continuous chemistry and catalytic conversion for carbon–carbon cross-coupling with 3dP
- Influence factor of Pr(III) recovery kinetics from rare-earth simulant wastewater by PAN microtubule hyperfiltration reactor
- NanoParticle Flow Reactor (NanoPFR): a tested model for simulating carbon nanoparticle formation in flow reactors
- Hot slag modification with mechanical stirring: heat transfer characteristics in a slag pot
- Assessment of effectiveness factor in porous catalysts under non-symmetric external conditions of concentration
- CFD simulation of gas–solid fluidized bed hydrodynamics; prediction accuracy study
Artikel in diesem Heft
- Frontmatter
- Articles
- Unified fractional indirect IMC-based hybrid dual-loop strategy for unstable and integrating type CSTRs
- Oxidative desulfurization of model and real fuel samples with natural zeolite-based catalysts: experimental design and optimization by Box–Behnken method
- Non-contact heating efficiency of flowing liquid effected by different susceptors in high-frequency induction heating system
- Gas–liquid mixing in the stirred tank equipped with semi-circular tube baffles
- Customizing continuous chemistry and catalytic conversion for carbon–carbon cross-coupling with 3dP
- Influence factor of Pr(III) recovery kinetics from rare-earth simulant wastewater by PAN microtubule hyperfiltration reactor
- NanoParticle Flow Reactor (NanoPFR): a tested model for simulating carbon nanoparticle formation in flow reactors
- Hot slag modification with mechanical stirring: heat transfer characteristics in a slag pot
- Assessment of effectiveness factor in porous catalysts under non-symmetric external conditions of concentration
- CFD simulation of gas–solid fluidized bed hydrodynamics; prediction accuracy study
