Startseite A New Control Scheme for Integrating Processes with Inverse Response and Time Delay
Artikel
Lizenziert
Nicht lizenziert Erfordert eine Authentifizierung

A New Control Scheme for Integrating Processes with Inverse Response and Time Delay

  • Medarametla Praveen Kumar EMAIL logo und M Manimozhi
Veröffentlicht/Copyright: 8. Mai 2018
Veröffentlichen auch Sie bei De Gruyter Brill

Abstract

This paper presents a novel technique in designing controller for integrating process with inverse response and time delay. Using Pade’s approximation, the positive zero is approximated to a negative zero by modifying the time delay of process. The polynomial approach is employed for the rearranged process to derive the controller parameters. The tuning parameter is selected based on the value of maximum sensitivity. Set point filtering is employed to reduce the overshoot in servo response. Various bench marking examples are considered to evaluate the proposed method. The evaluation is carried out in terms of various performances.

Nomenclature:

k

Process gain

τ

Time constant of the process

θ

Time delay of the process

z

Inverse of process zero

ϕ

Time delay of the modified process

kp

Proportional gain of PID

ki

Integral gain of PID

kd

Derivative gain of PID

α1,α2,β1,β2

PID filter parameters

λ

Tuning parameter

References

[1] Ziegler JG, Nichols NB. Optimum settings for automatic controllers. Am Soc Mech Eng. 1942;64:759–68.10.1115/1.2899060Suche in Google Scholar

[2] Ajmeri M, Ali A. Direct synthesis based tuning of the parallel control structure for integrating processes. Int J Sys Sci. 2015;46:2461–73.10.1080/00207721.2013.871369Suche in Google Scholar

[3] Ali A, Majhi S. Integral criteria for optimal tuning of PI/PID controllers for integrating processes. Asian J Control. 2011;13:328–37.10.1002/asjc.278Suche in Google Scholar

[4] Anil C, Padma Sree R. Design of PID controllers for FOPTD systems with an integrator and with/without a zero. Ind Chem Engineer. 2005;47:235–42.Suche in Google Scholar

[5] Anil C, Padma Sree R. Tuning of proportional integral derivative controllers for integrating systems using differential evolution technique. Ind Chem Engineer. 2011;53:239–60.10.1080/00194506.2011.706442Suche in Google Scholar

[6] Anil C, Padma Sree R. Design of optimal PID controllers for integrating systems. Ind Chem Engineer. 2014;56:215–28.10.1080/00194506.2014.910705Suche in Google Scholar

[7] Anil C, Padma Sree R. Tuning of PID controllers for integrating systems using direct synthesis method. ISA Trans. 2015;57:211–19.10.1016/j.isatra.2015.03.002Suche in Google Scholar PubMed

[8] Begum KG, Rao AS, Radhakrishnan AK. Enhanced IMC based PID controller design for non-minimum phase (NMP) integrating processes with time delays. ISA Trans. 2017;68:223–34.10.1016/j.isatra.2017.03.005Suche in Google Scholar PubMed

[9] Chidambaram M, Padma Sree R. “Simple method of designing PI/PID controllers for integrator/dead time processes. Comp Chem Eng. 2003;27:211–15.10.1016/S0098-1354(02)00178-3Suche in Google Scholar

[10] Jin QB, Liu Q. Analytical IMC-PID design in terms of performance/robustness tradeoff for integrating processes: from 2-Dof to1-Dof. J Process Control. 2014;24:22–32.10.1016/j.jprocont.2013.12.011Suche in Google Scholar

[11] Jin Q, Sun X, Wang Q, Liu L. A novel TDF control scheme for integrating and double integrating processes with time delay based on modified IMC structure. J Chem Eng, Japan. 2016;49:166–75.10.1252/jcej.15we022Suche in Google Scholar

[12] Lee Y, Lee J, Park S. PID controllers tuning for integrating and unstable pro- cesses with time delay. Chem Eng Sci. 2000;55:3481–93.10.1016/S0009-2509(00)00005-1Suche in Google Scholar

[13] Liu T, Gao F. Enhanced IMC design of load disturbance rejection for integrating and unstable processes with slow dynamics. ISA Trans. 2011;50:239–48.10.1016/j.isatra.2010.11.004Suche in Google Scholar PubMed

[14] Padma Sree R, Chidambaram M. Simple and robust method of tuning PID controller for integrator/dead time processes. J Chem Eng, Japan. 2005;38:113–19.10.1252/jcej.38.113Suche in Google Scholar

[15] Padula F, Visioli A. Optimal tuning rules for proportional integral derivative and fractional order proportional integral derivative controllers for integral and unstable processes. IET Control Theory Appl. 2012;6:776–86.10.1049/iet-cta.2011.0419Suche in Google Scholar

[16] Pai NS, Chang SC, Huang CT. Tuning PI/PID controllers for integrating processes with dead times and inverse response by simple calculations. J Process Control. 2010;20:726–33.10.1016/j.jprocont.2010.04.003Suche in Google Scholar

[17] Panda RC. Synthesis of PID controller for unstable and integrating processes. Chem Eng Sci. 2009;64:2807–16.10.1016/j.ces.2009.02.051Suche in Google Scholar

[18] Rao CV, Sree RP. IMC based controller design for integrating systems with time delay. Ind Chem Engineer. 2010;52:194–218.10.1080/00194506.2010.547972Suche in Google Scholar

[19] Seshagiri Rao A, Rao VS, Chidambaram M. Direct synthesis-based controller design for integrating processes with time delay. J Franklin Inst. 2009;346:38–56.10.1016/j.jfranklin.2008.06.004Suche in Google Scholar

[20] Shamsuzzoha M, Lee M. PID controller design for integrating process with time delay. Korean J Chem Eng. 2008;25:637–45.10.1007/s11814-008-0106-2Suche in Google Scholar

[21] Shamsuzzoha M, Skogestad S. The set point overshoot method: A simple and fast closed-loop approach for PID tuning. J Process Control. 2010;20:1220–34.10.1016/j.jprocont.2010.08.003Suche in Google Scholar

[22] Shamsuzzoha M. Closed loop PI/PID controller tuning for stable and integrating process with time delay. Ind Eng Chem Res. 2013;52:12973–92.10.1021/ie401808mSuche in Google Scholar

[23] Uma S, Chidambaram M, Rao AS. Set point weighted modified Smith predictor with PID filter controllers for non-minimum phase (NMP) integrating processes. Chem Eng Res Des. 2010;88:592–601.10.1016/j.cherd.2009.09.008Suche in Google Scholar

[24] Wang YG, Cai WJ. Advanced PID tuning for integrating and unstable processes with gain and phase margin specifications. Ind Eng Chem Res. 2002;41:2910–14.10.1021/ie000739hSuche in Google Scholar

Received: 2017-10-09
Revised: 2018-04-24
Accepted: 2018-04-24
Published Online: 2018-05-08

© 2018 Walter de Gruyter GmbH, Berlin/Boston

Heruntergeladen am 30.11.2025 von https://www.degruyterbrill.com/document/doi/10.1515/cppm-2017-0071/html?lang=de
Button zum nach oben scrollen