Robust filter design for switched linear parameter-varying systems

This paper considers the problem of robust filter design for switched linear parameter-varying systems. Robust filters are designed such that the estimation error between the output of filters and the output of switched systems is minimized for some disturbances and time-varying parameters.Then, H_∞ performance analysis condition for such problem is presented. By the aid of the parameter-dependent multiple Lyapunov functions method, a procedure of filter design is given in the framework of linear matrix inequality, furthermore, the filter gains are characterized in terms of a solution of a convex optimization problem. Finally, an example is given to illustrated the effectiveness of the proposed method.