Articles

Vol. 4 No. 2 (2004): ELECTRICA

ROBUST STABILIZATION OF NONLINEAR DISCRETE-TIME SYSTEMS BASED ON T-S MODEL

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Yang MI
Wei PAN
Yuan-Wei JING
Georgi M. DIMIROVSKI

Abstract

A robust stabilization problem is considered about nonlinear discrete-time system based on T-S fuzzy model. In order to represent the system exactly, the parametric uncertainty is employed to the T-S model. A necessary and sufficient condition for the existence of such controllers through Lyapunov theorem is given. And it is further shown that this condition is equivalent to the solvability of a certain linear matrix inequality. An illustrative example of truck-trailer shows the feasibility of the proposed method.


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