时变时滞T—S模糊系统的稳定性条件的改进

Improvement on stability of T-S fuzzy systems with time-varying delay

对时变时滞T—S模糊系统的稳定性分析的条件作了改进。主要利用时变时滞状态x(t—τ(t))和时滞的上界状态x(t—τ_0)的信息来构造李亚普诺夫函数,并利用凸组合技术,即考虑τ(t)=τ_0和τ(t)=0两种情况得到LMI的条件,给出了此类时滞T-S模糊系统稳定性的时滞相关判据,最后利用数值例子说明所提方法的有效性和低保性。

The problem of stability for T-S fuzzy systems with time-varying delay is analyzed. A delay-dependent sufficient condition is given in terms of LMIs. The technique used is mainly the appropriate Lyapunov functional combined with the convex method. A numerical example is given to illustrate the effectiveness and the advantage of the present results.