研究了带有饱和执行器及时变时滞的T-S模糊系统的控制律设计问题。利用PDC技术、Razu-mikhin稳定性理论以及线性矩阵不等式(LMI)方法,建立了闭环模糊系统渐近稳定的时滞依赖的判别条件,给出了模糊控制律的设计方法.通过求解LMI,可以获得闭环模糊系统的吸引域的估计。最后,提出了闭环系统吸引域的估计最大化的模糊控制律的一个设计方法。
Studied in this paper is the control design problem for T-S fuzzy systems with actuator saturation and time-varying delay. By using the PDC technique, the Razumikhin stability theorem and the LMI approach, a delay-dependent criterion for asymptotic stability of the closed-loop fuzzy systems is established, and the design method of fuzzy controller is presented. The problem of estimating the domain of attraction for T-S fuzzy systems is obtained by solving such LMIs. We finally propose a design procedure for the fuzzy controller that maximizes the estimation of the domain of attraction.