区间时滞模糊系统的稳定性分析和控制器设计

Stability Criteria for T-S Fuzzy Systems with Time-varying Delays and Controller Design

研究了具有区间时变时滞的T-S模型模糊控制系统的稳定性分析和控制设计问题.基于Lyapunov-Krasovskii泛函方法和改进的积分不等式方法确保了系统的稳定.通过计算一系列线性矩阵不等式(LMIs),得到了所需模糊控制器增益.与一些现有的结论相比,得到计算结果保守性更小,并通过仿真实验验证了该方法的有效性.

This paper deals with the problem of stability analysis and controller design for T-S fuzzy systems with time-varying delay. By constructing the Lyapunov-Krasovskii functional method and improved integral inequality method, which ensures the considered system to be stable. Furthermore, the desired fuzzy controller gains are also presented by solving a set of linear matrix inequalities （LMIs）. Compared with some existing results, the obtained ones give the result with less conservatism. Finally, a simulation example has been proposed to prove the effectiveness of the present approach.