Abstract: 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.

Key words: switched systems, reliable control, actuator failure, linear matrix inequalities