H∞ fuzzy PID control synthesis for Takagi–Sugeno fuzzy systems. Issue 6 (1st April 2016)

• Record Type: Journal Article
• Authors: Cao, Kairui; Gao, Xiaozhi; Lam, Hak‐Keung; Vasilakos, Athanasios
• Is Part Of: IET control theory & applications. Volume 10:Issue 6(2016)
• Page Start: 607
• Page End: 616
• Publication Date: 2016-04-01
• Subjects: H∞ control -- three‐term control -- control system synthesis -- fuzzy systems -- feedback -- linear matrix inequalities -- iterative methods -- fuzzy control; fuzzy SOF control laws -- iterative linear matrix inequality algorithm -- static output feedback -- fuzzy SOF controller design -- T‐S fuzzy systems -- proportional‐integral‐derivative control -- Takagi‐Sugeno fuzzy systems -- H∞ fuzzy PID control synthesis; Control theory -- Periodicals; Automatic control -- Periodicals; 629.8312
• DOI: 10.1049/iet-cta.2015.0513
• Languages: English
• ISSNs: 1751-8644

Abstract

Abstract : 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.