H∞ fuzzy state-feedback control design for nonlinear systems with D-stability constraints: An LMI approach
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Author list: Assawinchaichote W., Nguang S.K., Shi P., Boukas E.-K.
Publisher: Elsevier
Publication year: 2008
Journal: Mathematics and Computers in Simulation (0378-4754)
Volume number: 78
Issue number: 4
Start page: 514
End page: 531
Number of pages: 18
ISSN: 0378-4754
Languages: English-Great Britain (EN-GB)
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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 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. © 2007 IMACS.
Keywords
Fuzzy control, Linear Matrix Inequalities (LMIs), pole placement, Takagi-Sugeno (TS) fuzzy model