一类线性不确定切换系统的非脆弱控制器设计

针对一类线性不确定切换系统,利用公共Lyapunov函数的方法,给出了当所设计的控制器存在加性摄动时鲁棒非脆弱控制器存在的条件。该控制器能够保证闭环切换系统在任意切换律下渐近稳定。然后应用线性矩阵不等式将鲁棒非脆弱控制器的设计问题转化为一组线性矩阵不等式的可行解问题,从而可借助Matlab中的LMI工具箱直接求解。最后通过仿真算例验证所提方法的有效性。

Design of Non-fragile Controller for a Class of Uncertain Switched Linear System

Based on the common Lyapunov function, a condition for the existence of non-fragile hybrid state-feedback controller is given according to a class of uncertain switched linear system. This controller can guarantee the linear closed-loop switched system stable asymptotically for all arbitrary uncertainties. The design of non-fragile controller can be converted into a feasible problem of certain LMI system with the linear matrix inequalities （LMI） approach. The solution of non-fragile controller can be efficiently obtained with the MATLAB toolbox. Finally, a simulation example shows the effectiveness of the proposed approaches.