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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 ; School of Information Science and Engineering, Northeastern University, Shenyang, 110004, 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:

2010 Chinese Control and Decision Conference

Date of Conference:

26-28 May 2010