Abstract
This paper is concerned with the problem of output feedback control for continuous-time T–S fuzzy systems. The aim is to reduce the conservatism of finding output feedback controller design conditions based on the Lyapunov function which depends on membership functions. Firstly, in order to improve the existing results, a new approach to bound the time derivatives of the membership functions is proposed. Secondly, based on the non-quadratic Lyapunov function and matrix decoupling techniques, the static-output feedback controller and the dynamic output feedback controller are designed to guarantee that the system is asymptotically stable, respectively. Finally, three examples are given to indicate the effectiveness of the approach.
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