一类不确定切换系统的鲁棒可靠控制

Reliable Robust Control for a Class of Uncertain Switched Systems

针对一类线性不确定切换系统,利用Lyapunov函数法,当执行器失效或部分失效时,给出了鲁棒可靠控制器,使得闭环系统对所有可能的不确定性和所有允许的执行器失效,在所设计的鲁棒可靠控制器下是渐近稳定的.然后运用线性矩阵不等式将鲁棒可靠控制器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中线性矩阵不等式工具箱求解.最后通过数值算例,验证所提出设计方法的有效性.

Based on the method of Lyapunov function, design of reliable robust controllers is given such that the corresponding closed - loop system is globally asymptotically stable for all admissible uncertainties and actuator failures for a class of uncertain switched systems. Next, with the linear matrix inequalities （LMI） approach, design of robust reliable controllers can be converted into a feasible problem of certain LMI system. The solution of controllers can be efficiently obtained with the MATLAB LMI toolbox. A numerical example shows validity of the proposed design method.