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H∞ fuzzy PID control synthesis for Takagi-Sugeno fuzzy systems

Research output: Contribution to journalArticle

Kairui Cao, Xiaozhi Gao, Hak-Keung Lam, Athanasios Vasilakos

Original languageEnglish
Pages (from-to)607-616
Number of pages10
JournalIet Control Theory And Applications
Issue number6
Accepted/In press25 Dec 2015
Published13 Apr 2016


King's Authors


This study proposes a kind of H∞ fuzzy proportional-integral-derivative (PID) control synthesis method for Takagi-Sugeno (T-S) fuzzy systems. The basic idea of the presented method is to transform the fuzzy PID controller design problem into that of the fuzzy static output feedback (SOF) controller design. On the basis of an iterative linear matrix inequality algorithm, the fuzzy SOF control laws can be obtained. After that, the fuzzy PID controller is recovered from the fuzzy SOF controller. Simulation examples are given to show the effectiveness of the proposed method.

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