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

Bevrani, Hassan & Hiyama, Takashi (2007) Multiobjective PI/PID Control Design Using an Iterative Linear Matrix Inequalities Algorithm. International Journal of Control, Automation, and Systems, 5(2), pp. 117-127.

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.

Impact and interest:

12 citations in Scopus
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4 citations in Web of Science®

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ID Code: 13452
Item Type: Journal Article
Additional Information: The contents of this journal can be freely accessed online via the journal's web page (see hypertext link).
Additional URLs:
Keywords: LFC, LMI, Mixed H2/H∞ control, PI, PID, robust performance, static output feedback control, time delay
ISSN: : 1598-6446
Divisions: Past > QUT Faculties & Divisions > Faculty of Built Environment and Engineering
Copyright Owner: Copyright 2007 Institute of Control, Robitics and Systems and the Korean Institute of Electrical Engineers
Deposited On: 02 May 2008
Last Modified: 11 Aug 2011 00:40

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