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Stabilization of discrete-time nonlinear control systems - Multiple fuzzy Lyapunov function approach

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4 Author(s)
Shih-Wei Kau ; Dept. of Electr. Eng., Nat. Kaohsiung Univ. of Appl. Sci., Kaohsiung, Taiwan ; Xin-Yuan Huang ; Sheng-Yu Shiu ; Chun-Hsiung Fang

This paper deals with the stabilization problem for discrete-time nonlinear systems that are represented by the Takagi - Sugeno fuzzy model. By the multiple fuzzy Lyapunov function and the three-index algebraic combination technique, a new stabilization condition is developed. The condition is expressed in the form of linear matrix inequalities (LMIs) and proved to be less conservative than existing results in the literature. Finally, a truck-trailer system is given to illustrate the novelty of the proposed approach.

Published in:

Information and Automation, 2009. ICIA '09. International Conference on

Date of Conference:

22-24 June 2009

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