一类切换T-S型模糊系统二次镇定保成本控制

针对一类不确定切换T-S型模糊系统,对保成本鲁棒控制问题进行了研究。利用单Lyapunov函数法,给出了混杂状态反馈保成本控制器的设计方案,使得闭环系统对所有允许的不确定性,在所设计的混杂状态反馈控制器下是二次稳定的,应用线性矩阵不等式的可解性给出闭环系统二次稳定的充分条件,同时给出了二次型成本函数的一个上界。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。仿真结果验证了所设计方法的有效性。

Guaranteed cost control with quadratic stability for a class of switched T-S formal fuzzy systems

The problem of guaranteed cost robust control is studied for a class of uncertain switched T-S formal fuzzy systems.Based on single Lyapunov function method,a conceptual design was given to the hybrid state feedback controllers to guarantee cost so that the corresponding closed loop system had quadratic stability for all admissible uncertainties,to which a sufficient condition was given in terms of linear matrix inequalities(LMIs).In this model,each and every subsystem of the switched system was an uncertain fuzzy one to which a common PDC(parallel distributed compensation) controller was proposed with its main condition given in a more solvable form of convex combinations.A simulation example is provided to illustrate the effectiveness of the approach proposed.