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A new LMI-based approach to state feedback H control designs for T-S fuzzy dynamic systems

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3 Author(s)
Zhaona Chen ; Sch. of Inf. Sci. & Eng., Northeastern Univ., Shenyang, China ; Yuanwei Jing ; Nan Jiang

This paper proposes a new quadratic stability condition and H control designing for Takagi-Sugeno (T-S) fuzzy control systems. Firstly, new stability sufficient condition in the format of linear matrix inequalities (LMIs) is obtained by relaxing the stability condition derived in previous paper. It guarantees the existence of the state feedback H control. Secondly, the paper addresses the H controller designing, and the H controller can be considered by solving a set of suitable LMIs. Finally, the validity and applicability of the proposed approach are successfully demonstrated through numerical simulations for the continuous-time nonlinear system.

Published in:

Control and Decision Conference (CCDC), 2010 Chinese

Date of Conference:

26-28 May 2010