T-S模糊时滞系统H_∞控制器一种新的设计方法

A New Design Approach of H_∞ Control for T-S Fuzzy Systems with Time Delay

针对一类不确定非线性时滞系统,利用模糊T-S模型,通过状态反馈对时滞相关H∞控制问题进行了研究。利用Lyapunov稳定性理论和线性矩阵不等式方法,给出了此类T-S模糊时滞系统在时滞相关意义下的稳定性判据和控制器设计方法,并结合实例说明所提出的控制方法是有效的。由于采用了自由矩阵技术,所得的结果保守性更小。

This paper focuses on the problem of delay-dependent robust H∞ control for a class of nonlinear delay systems via state feedback using T-S fuzzy model approach. Based on Lyapunov stability theories, LMI approach, the methods of stability analysis and controller synthesis are developed for T-S fuzzy systems with time-delay. By using free weight matrix method, the results in this paper are of less conservativeness. Finally, an example is given to illustrate the effectiveness of the approaches proposed in this paper.