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: Chapter in Book/Report/Conference proceedingConference contributionScientificpeer-review

1 Citation (Scopus)

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
Title of host publication2015 12th International Conference on Fuzzy Systems and Knowledge Discovery, FSKD 2015
PublisherIEEE
Pages351-355
Number of pages5
ISBN (Print)9781467376822
DOIs
Publication statusPublished - 13 Jan 2016
MoE publication typeA4 Article in a conference publication
EventInternational Conference on Fuzzy Systems and Knowledge Discovery - Zhangjiajie, China
Duration: 15 Aug 201517 Aug 2015
Conference number: 12

Conference

ConferenceInternational Conference on Fuzzy Systems and Knowledge Discovery
Abbreviated titleFSKD
CountryChina
CityZhangjiajie
Period15/08/201517/08/2015

Keywords

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

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