Stability analysis of T-S fuzzy PD, PI, and PID control systems

Kairui Cao, X. Z. Gao, Xing Wang, H. K. Lam, Jing Ma

Research output: Contribution to journalConference paperpeer-review

1 Citation (Scopus)
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Abstract

We present a simple and systematic way of designing stabilization fuzzy PID (Proportional-Integral-Differential), PI (Proportional-Integral), and PD (Proportional-Differential) controllers for the T-S fuzzy model. The state space representations of the fuzzy PD, PI, and PID controllers are firstly presented. Then we equivalently transform the fuzzy PID (PI, or PD) control system into the fuzzy static output feedback control system. The fuzzy static output feedback controller design for the latter system can be efficiently solved via the existing numerical optimization methods with some conservatism. Consequently, the fuzzy PID (PI, or PD) controller can be derived due to the one-on-one correspondence between the fuzzy PID controller and the fuzzy static output feedback controller. We use a numerical simulation example to show the effectiveness of our proposed methods.

Original languageEnglish
Pages (from-to)351-355
Number of pages5
Journal2015 12th International Conference on Fuzzy Systems and Knowledge Discovery (FSKD)
Early online date13 Jan 2016
DOIs
Publication statusE-pub ahead of print - 13 Jan 2016
Event12th International Conference on Fuzzy Systems and Knowledge Discovery, FSKD 2015 - Zhangjiajie, China
Duration: 15 Aug 201517 Aug 2015

Keywords

  • fuzzy PID controllers
  • linear matrix inequalities (LMIs)
  • static output feedback control
  • T-S fuzzy models

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