Robust H2 guaranteed cost fuzzy control for uncertain discrete‐time fuzzy systems via poly‐quadratic Lyapunov functions |
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| Authors: | Mourad Kchou Mansour Souissi Ahmed Toumi |
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| Affiliation: | 1. National School of Engineers of Sfax, BP: W, 3038 Sfax, Tunisia;2. Preparatory Institute of Studies Engineers of Sfax, Tunisia |
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| Abstract: | In this paper, new approaches regarding H2 guaranteed cost stability analysis and controller synthesis problems for a class of discrete‐time fuzzy systems with uncertainties are investigated. The state‐space Takagi‐Sugeno fuzzy model with norm‐bounded parameter uncertainties is adopted. Based on poly‐quadratic Lyapunov functions, sufficient conditions for the existence of the robust H2 fuzzy controller can be obtained in terms of linear matrix inequalities (LMIs). Furthermore, a convex optimization problem with LMI constraints is formulated to design a suboptimal fuzzy controller which minimizes the upper bound on the quadratic cost function. The effectiveness of the proposed design approach is illustrated by two examples. Copyright © 2010 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society |
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| Keywords: | Discrete‐time fuzzy systems robust H2 control linear matrix inequalities poly‐quadratic Lyapunov function |
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