H∞ fuzzy state-feedback control design for nonlinear systems with D-stability constraints: An LMI approach

Wudhichai Assawinchaichote, Sing Kiong Nguang, Peng Shi and El-Kébir Boukas

Mathematics and Computers in Simulation (MATCOM), 2008, vol. 78, issue 4, 514-531

Abstract: This paper considers the problem of designing an H∞ fuzzy controller for a class of nonlinear systems with pole placement constraints. Based on an LMI approach, we develop a state-feedback controller that guarantees the L2-gain of the mapping from the exogenous input noise to the regulated output is less than some prescribed value and the closed-loop system is D-stable. Numerical examples are provided to illustrate the design developed in this paper.

Keywords: Fuzzy control; Takagi–Sugeno (TS) fuzzy model; Linear matrix inequalities (LMIs); Pole placement (search for similar items in EconPapers)
Date: 2008
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:78:y:2008:i:4:p:514-531

DOI: 10.1016/j.matcom.2007.07.002

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