一类线性不确定切换系统的保成本鲁棒控制

针对一类线性不确定切换系统,对保成本鲁棒控制问题进行了研究·利用多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渐近稳定的,并应用线性矩阵不等式(LMI)的可解性给出闭环系统渐近稳定的充分条件,同时给出了二次型成本函数的一个上界·最后用仿真结果验证了所设计方法的有效性·

Guaranteed Cost Robust Control for a Class of Uncertain Switched Linear Systems

The problem of guaranteed cost robust control is studied for a class of uncertain switched linear systems. Based on multiple-Lyapunov function method, a conceptual design is given to the hybrid state feedback controllers to gurantee cost such that the corresponding closed-loop system is globally asymptotically stable for all admissible uncertainties, to which a sufficient condition is given in terms of linear matrix inequalities (LMI). A simulation example is provided to illustrate the effectiveness of the approach proposed.