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T-S fuzzy design for nonlinear state-delayed descriptor system via sliding mode control

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4 Author(s)
Han Chunsong ; Space Control & Inertial Technol. Res. Center, Harbin Inst. of Technol., Harbin, China ; Zhang Guojiang ; Zeng Qingshuang ; Wu Ligang

This paper is concerned with the problem of sliding mode control (SMC) of a class of Takagi-Sugeno (T-S) fuzzy descriptor system with time-delay. An integral-type sliding surface function is designed by taking the descriptor matrix into account, thus the resulting sliding mode dynamics is a full-order uncertain T-S fuzzy descriptor time-delay system. By use of the delay partitioning technique, a delay-dependent criterion is established, which ensures the sliding mode dynamics to be regular, impulse-free and stable. Moreover, a SMC law is synthesized to guarantee the stability of the closed-loop system, and the proposed SMC law can drive the dynamics of controlled system into a designated sliding surface in a finite time. Finally, a numerical example is provided to illustrate the effectiveness of the proposed theories.

Published in:

Control Conference (CCC), 2011 30th Chinese

Date of Conference:

22-24 July 2011