Design of robust PID controller for a CSTR plant with interval parametric uncertainty using Kharitonov theorem

Supanna S. Kumar, C. Shreesha

Research output: Chapter in Book/Report/Conference proceedingConference contribution

3 Citations (Scopus)

Abstract

A parameter-plane method based on Kharitonov theorem for the design of a robust proportional integral derivative (PID) controller for the control of a chemical continuous stirred tank reactor (CSTR), which is an example for a plant with interval parametric uncertainty, has been presented in this paper. A locus of the stability boundary is plotted for each of the four Kharitonov vortex polynomials in the KP versus KI parameter plane. An intersecting stability region is identified in the KP-KI plane from which the parameters of the stabilizing PID controller are obtained. Simulation results show that the designed controller successfully stabilizes and improves the performance of the uncertain system under consideration.

Original languageEnglish
Title of host publication2016 International Conference on Computation of Power, Energy, Information and Communication, ICCPEIC 2016
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages430-433
Number of pages4
ISBN (Electronic)9781509009015
DOIs
Publication statusPublished - 31-08-2016
Event5th International Conference on Computation of Power, Energy Information and Communication, ICCPEIC 2016 - Melmaruvathur, Chennai, India
Duration: 20-04-201621-04-2016

Conference

Conference5th International Conference on Computation of Power, Energy Information and Communication, ICCPEIC 2016
CountryIndia
CityMelmaruvathur, Chennai
Period20-04-1621-04-16

Fingerprint

Kharitonov Theorem
Parametric Uncertainty
Reactor
Directly proportional
Derivatives
Controller
Derivative
Controllers
Interval
Uncertain systems
Stability Region
Uncertain Systems
Locus
Vortex
Vortex flow
Polynomials
Polynomial
Design
Uncertainty
Simulation

All Science Journal Classification (ASJC) codes

  • Computer Networks and Communications
  • Energy Engineering and Power Technology
  • Electrical and Electronic Engineering
  • Computer Science Applications
  • Control and Optimization

Cite this

Kumar, S. S., & Shreesha, C. (2016). Design of robust PID controller for a CSTR plant with interval parametric uncertainty using Kharitonov theorem. In 2016 International Conference on Computation of Power, Energy, Information and Communication, ICCPEIC 2016 (pp. 430-433). [7557271] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ICCPEIC.2016.7557271
Kumar, Supanna S. ; Shreesha, C. / Design of robust PID controller for a CSTR plant with interval parametric uncertainty using Kharitonov theorem. 2016 International Conference on Computation of Power, Energy, Information and Communication, ICCPEIC 2016. Institute of Electrical and Electronics Engineers Inc., 2016. pp. 430-433
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abstract = "A parameter-plane method based on Kharitonov theorem for the design of a robust proportional integral derivative (PID) controller for the control of a chemical continuous stirred tank reactor (CSTR), which is an example for a plant with interval parametric uncertainty, has been presented in this paper. A locus of the stability boundary is plotted for each of the four Kharitonov vortex polynomials in the KP versus KI parameter plane. An intersecting stability region is identified in the KP-KI plane from which the parameters of the stabilizing PID controller are obtained. Simulation results show that the designed controller successfully stabilizes and improves the performance of the uncertain system under consideration.",
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Kumar, SS & Shreesha, C 2016, Design of robust PID controller for a CSTR plant with interval parametric uncertainty using Kharitonov theorem. in 2016 International Conference on Computation of Power, Energy, Information and Communication, ICCPEIC 2016., 7557271, Institute of Electrical and Electronics Engineers Inc., pp. 430-433, 5th International Conference on Computation of Power, Energy Information and Communication, ICCPEIC 2016, Melmaruvathur, Chennai, India, 20-04-16. https://doi.org/10.1109/ICCPEIC.2016.7557271

Design of robust PID controller for a CSTR plant with interval parametric uncertainty using Kharitonov theorem. / Kumar, Supanna S.; Shreesha, C.

2016 International Conference on Computation of Power, Energy, Information and Communication, ICCPEIC 2016. Institute of Electrical and Electronics Engineers Inc., 2016. p. 430-433 7557271.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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N2 - A parameter-plane method based on Kharitonov theorem for the design of a robust proportional integral derivative (PID) controller for the control of a chemical continuous stirred tank reactor (CSTR), which is an example for a plant with interval parametric uncertainty, has been presented in this paper. A locus of the stability boundary is plotted for each of the four Kharitonov vortex polynomials in the KP versus KI parameter plane. An intersecting stability region is identified in the KP-KI plane from which the parameters of the stabilizing PID controller are obtained. Simulation results show that the designed controller successfully stabilizes and improves the performance of the uncertain system under consideration.

AB - A parameter-plane method based on Kharitonov theorem for the design of a robust proportional integral derivative (PID) controller for the control of a chemical continuous stirred tank reactor (CSTR), which is an example for a plant with interval parametric uncertainty, has been presented in this paper. A locus of the stability boundary is plotted for each of the four Kharitonov vortex polynomials in the KP versus KI parameter plane. An intersecting stability region is identified in the KP-KI plane from which the parameters of the stabilizing PID controller are obtained. Simulation results show that the designed controller successfully stabilizes and improves the performance of the uncertain system under consideration.

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Kumar SS, Shreesha C. Design of robust PID controller for a CSTR plant with interval parametric uncertainty using Kharitonov theorem. In 2016 International Conference on Computation of Power, Energy, Information and Communication, ICCPEIC 2016. Institute of Electrical and Electronics Engineers Inc. 2016. p. 430-433. 7557271 https://doi.org/10.1109/ICCPEIC.2016.7557271