前提不匹配的T-S模糊系统的时滞相关镇定

Delay-dependent stabilization of T-S fuzzy systemsunder imperfect premise matching

摘要:

为了降低T-S模糊时滞系统稳定性条件的保守性以及提高其控制器设计的灵活性, 本文提出了在前提不匹配条件下考虑T-S模糊时滞系统的时滞相关稳定性以及控制器设计问题. 首次通过构造包含三重积分的增广Lyapunov泛函的方法, 提出一个新的具有较小保守性的时滞相关稳定性准则; 同时在前提不匹配条件下, 给出了保证该系统渐近稳定的控制器设计方法, 该方法提高了控制器设计的灵活性, 并且对于具有不确定隶属度函数的模糊系统同样适用. 最后通过两个仿真例子验证本文所提出的方法的有效性.

Abstract:

To reduce the stability conservativeness for T-S fuzzy systems with time-delay and improve fuzzy controller design flexibility, the issues of delay-dependent stability analysis and controller design for T-S fuzzy time-delay systems under imperfect premise matching are investigated in this paper. A new less conservative delay-dependent stability condition is firstly proposed by constructing a novel augmented Lyapunov function, which contains a triple-integral term. Under the imperfect premise matching, our approach can enhance the design flexibility. Especially, some issues related to the fuzzy models with uncertain grades of membership can also be resolved. Finally, two numerical examples are presented to illustrate the effectiveness of the proposed methods. 