Regular Papers

International Journal of Control, Automation and Systems 2007; 5(2): 117-127

© The International Journal of Control, Automation, and Systems

Multiobjective PI/PID Control Design Using an Iterative Linear Matrix Inequalities Algorithm

Hassan Bevrani and Takashi Hiyama

University of Kurdistan, Iran

Abstract

Many real world control systems usually track several control objectives, simultaneously. At the moment, it is desirable to meet all specified goals using the controllers with simple structures like as proportional-integral (PI) and proportional-integral-derivative (PID) which are very useful in industry applications. Since in practice, these controllers are commonly tuned based on classical or trial-and-error approaches, they are incapable of obtaining good dynamical performance to capture all design objectives and specifications. This paper addresses a new method to bridge the gap between the power of optimal multiobjective control and PI/PID industrial controls. First the PI/PID control problem is reduced to a static output feedback control synthesis through the mixed H2/H∞ control technique, and then the control parameters are easily carried out using an iterative linear matrix inequalities (ILMI) algorithm. Numerical examples on load-frequency control (LFC) and power system stabilizer (PSS) designs are given to illustrate the proposed methodology. The results are compared with genetic algorithm (GA) based multiobjective control and LMI based full order mixed H2/H∞ control designs.

Keywords LFC, LMI, Mixed H2/H∞ control, PI, PID, robust performance, static output feedback control, time delay.

Article

Regular Papers

International Journal of Control, Automation and Systems 2007; 5(2): 117-127

Published online April 1, 2007

Copyright © The International Journal of Control, Automation, and Systems.

Multiobjective PI/PID Control Design Using an Iterative Linear Matrix Inequalities Algorithm

Hassan Bevrani and Takashi Hiyama

University of Kurdistan, Iran

Abstract

Many real world control systems usually track several control objectives, simultaneously. At the moment, it is desirable to meet all specified goals using the controllers with simple structures like as proportional-integral (PI) and proportional-integral-derivative (PID) which are very useful in industry applications. Since in practice, these controllers are commonly tuned based on classical or trial-and-error approaches, they are incapable of obtaining good dynamical performance to capture all design objectives and specifications. This paper addresses a new method to bridge the gap between the power of optimal multiobjective control and PI/PID industrial controls. First the PI/PID control problem is reduced to a static output feedback control synthesis through the mixed H2/H∞ control technique, and then the control parameters are easily carried out using an iterative linear matrix inequalities (ILMI) algorithm. Numerical examples on load-frequency control (LFC) and power system stabilizer (PSS) designs are given to illustrate the proposed methodology. The results are compared with genetic algorithm (GA) based multiobjective control and LMI based full order mixed H2/H∞ control designs.

Keywords: LFC, LMI, Mixed H2/H∞ control, PI, PID, robust performance, static output feedback control, time delay.

IJCAS
May 2024

Vol. 22, No. 5, pp. 1461~1759

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