一类新的Takagi-Sugeno模糊时滞系统的稳定性准则

本文提出一种新的时滞划分方法—变时滞划分法,以解决连续延时Takagi-Sugeno模糊系统的稳定性和镇定性问题.不同于已有的文献,用可变参数将时变时滞区间0,d(t)]划分为若干个可变子区间,并得出模糊时滞系统的新的时滞相关稳定性准则.本文提出的新方法能充分利用时滞子区间的内部信息,因此新的时滞相关稳定性准则比以往结果具有更小的保守性.基于Lyapunov稳定性理论,以线性矩阵不等式形式给出T--S模糊系统的新的时滞相关稳定性准则,并将稳定性和镇定性研究结果扩展到具有不确定参数的T--S模糊系统.仿真实例证明了本文方法降低保守性的有效性.

New stability criterion for time-delay Takagi-Sugeno fuzzy systems

A new method, namely, the variable delay partitioning method, is firstly developed to solve the problems of stability analysis and stabilization for continuous time-delay Takagi-Sugeno fuzzy systems. Different from previous results, the delay interval 0; d(t)] is partitioned into some variable subintervals by employing variable delay partitioning method. Thus, new delay-dependent stability criteria for fuzzy time-delay systems are derived by applying this variable delay partitioning method. The proposed method can make full use of the variable subintervals information, so the new delay-dependent stability criteria are less conservative than previous results. Based on the Lyapunov stability theory, a new delay-dependent stability criterion for T--S fuzzy systems is given in the form of linear matrix inequalities (LMIs). Both the stability and stabilization results are further extended to fuzzy time-delay systems with time-varying parameter uncertainties. Illustrative examples are provided to demonstrate the effectiveness for conservatism reduction.