一类不确定切换模糊系统的鲁棒控制

针对不确定的模糊系统,提出一类不确定切换模糊系统的鲁棒控制问题.使用切换技术及Lyapunov函数方法构造出连续状态反馈控制器,使得对于所有允许的不确定性,相应的闭环系统渐近稳定,同时设计可以实现系统全局渐近稳定的切换律.模型中的每个切换系统的子系统是不确定模糊系统,取常用的平行分布补偿PDC控制器,主要条件以凸组合的形式给出,具有较强的可解性.这类混杂控制系统对参数变化具有很强的鲁棒性.计算机仿真结果表明设计方法的可行性与有效性.

Robust Controller for a Class of Uncertain Fuzzy Switched Systems

The robust control of a class of uncertain fuzzy switched systems is presented for an uncertain fuzzy system.Using switching technique and Lyapunov function method,a continuous state feedback controller is built to ensure the asymptotically stable closed-loop system for all allowable uncertainties,with the switching law designed to implement the global asymptotic stability of uncertain fuzzy switched systems.In this model,each and every subsystem of the switched system is an uncertain fuzzy one to which a common PDC(parallel distributed compensation) controller is proposed with its main condition given in a more solvable form of convex combinations.Such a hybrid control system is highly robust to varying parameters.A simulation shows the feasibility and effectiveness of the design method.