Formula omitted] fuzzy state-feedback control design for nonlinear systems with [formula omitted]-stability constraints: An LMI approach

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

doi:10.1016/j.matcom.2007.07.002

Formula omitted] fuzzy state-feedback control design for nonlinear systems with [formula omitted]-stability constraints: An LMI approach

Wudhichai Assawinchaichote, Sing Kiong Nguang + Show 2 more

https://doi.org/10.1016/j.matcom.2007.07.002

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Journal: Mathematics and Computers in Simulation	Publication Date: Jul 19, 2007
Citations: 57

Affiliation: King Mongkut's University of Technology Thonburi, University of Auckland, University of South Wales, Polytechnique Montréal

#Control Design For Nonlinear Systems #LMI Approach + Show 8 more

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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 L 2 -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.

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