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.

本文关注的是连续时间TS模糊系统的输出反馈控制问题。目的是减少基于依赖成员函数的Lyapunov函数寻找输出反馈控制器设计条件的保守性。首先，为了改善现有结果，提出了一种新的方法来约束隶属函数的时间导数。其次，基于非二次Lyapunov函数和矩阵解耦技术，分别设计了静态输出反馈控制器和动态输出反馈控制器，以保证系统的渐近稳定。最后，通过三个例子说明了该方法的有效性。