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针对利用模糊T-S模型建模的切换模糊系统,考虑当系统同时存在不确定和时滞的情况下,研究系统的状态反馈控制问题。利用切换技术和多Lyapunov函数方法,给出状态反馈控制器存在的充分条件,相应结果以矩阵不等式形式给出,并给出切换律设计。利用平行分布补偿算法(PDC),给出切换模糊状态反馈控制器设计,使得闭环系统在所设计的控制器和切换律下,对所有允许的不确定具有鲁棒性。仿真结果表明方法的有效性。
Aiming at the switching fuzzy system modeled by fuzzy T-S model, the state feedback control problem of the system is studied under the condition of both system uncertainty and delay. The sufficient conditions for the existence of state feedback controller are given by using the switching technique and the multi-Lyapunov function method. The corresponding results are given in terms of matrix inequalities and the switching law design is given. Using parallel distributed compensation algorithm (PDC), the design of switched fuzzy-state feedback controller is given, which makes the closed-loop system robust to all allowed uncertainties under the designed controller and switching law. Simulation results show the effectiveness of the method.