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

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

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

15 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)607-616
Number of pages10
Issue number6
Publication statusPublished - 13 Apr 2016
MoE publication typeA1 Journal article-refereed

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