ELECTRICA

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

1.

Northeastern University, School of Information Science and Engineering, Liaoning province, 110004, Shenyang, Peoples Republic of CHINA

2.

Department of Computer Eng., Dogus University, 34722 – Kadikoy / Istanbul, Turkey

ELECTRICA 2004; 4: 1191-1198
Read: 819 Downloads: 511 Published: 28 December 2011

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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EISSN 2619-9831