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

Supanna S. Kumar; C. Shreesha

doi:10.1109/ICCPEIC.2016.7557271

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

Supanna S. Kumar
, C. Shreesha

Manipal Academy of Higher Education, Manipal

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

12 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 language	English
Title of host publication	2016 International Conference on Computation of Power, Energy, Information and Communication, ICCPEIC 2016
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	430-433
Number of pages	4
ISBN (Electronic)	9781509009015
DOIs	https://doi.org/10.1109/ICCPEIC.2016.7557271
Publication status	Published - 31-08-2016
Event	5th International Conference on Computation of Power, Energy Information and Communication, ICCPEIC 2016 - Melmaruvathur, Chennai, India Duration: 20-04-2016 → 21-04-2016

Publication series

Name	2016 International Conference on Computation of Power, Energy, Information and Communication, ICCPEIC 2016

Conference

Conference	5th International Conference on Computation of Power, Energy Information and Communication, ICCPEIC 2016
Country/Territory	India
City	Melmaruvathur, Chennai
Period	20-04-16 → 21-04-16

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

Access to Document

10.1109/ICCPEIC.2016.7557271

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). Article 7557271 (2016 International Conference on Computation of Power, Energy, Information and Communication, ICCPEIC 2016). 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 (2016 International Conference on Computation of Power, Energy, Information and Communication, ICCPEIC 2016).

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

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.",

author = "Kumar, \{Supanna S.\} and C. Shreesha",

note = "Publisher Copyright: {\textcopyright} 2016 IEEE.; 5th International Conference on Computation of Power, Energy Information and Communication, ICCPEIC 2016 ; Conference date: 20-04-2016 Through 21-04-2016",

year = "2016",

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day = "31",

doi = "10.1109/ICCPEIC.2016.7557271",

language = "English",

series = "2016 International Conference on Computation of Power, Energy, Information and Communication, ICCPEIC 2016",

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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, 2016 International Conference on Computation of Power, Energy, Information and Communication, ICCPEIC 2016, 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 (2016 International Conference on Computation of Power, Energy, Information and Communication, ICCPEIC 2016).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

TY - GEN

T1 - Design of robust PID controller for a CSTR plant with interval parametric uncertainty using Kharitonov theorem

AU - Kumar, Supanna S.

AU - Shreesha, C.

PY - 2016/8/31

Y1 - 2016/8/31

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.

UR - https://www.scopus.com/pages/publications/84992660427

UR - https://www.scopus.com/pages/publications/84992660427#tab=citedBy

U2 - 10.1109/ICCPEIC.2016.7557271

DO - 10.1109/ICCPEIC.2016.7557271

M3 - Conference contribution

AN - SCOPUS:84992660427

T3 - 2016 International Conference on Computation of Power, Energy, Information and Communication, ICCPEIC 2016

SP - 430

EP - 433

BT - 2016 International Conference on Computation of Power, Energy, Information and Communication, ICCPEIC 2016

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 5th International Conference on Computation of Power, Energy Information and Communication, ICCPEIC 2016

Y2 - 20 April 2016 through 21 April 2016

ER -

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. (2016 International Conference on Computation of Power, Energy, Information and Communication, ICCPEIC 2016). doi: 10.1109/ICCPEIC.2016.7557271

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

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