Robust control of norm-bounded uncertain linear system with regional pole assignment

Abstract

This paper proposes a robust controller design method for an norm-bounded uncertain linear system with disturbance. At First, we derive the necessary and sufficient condition for regional pole assignment for uncertain linear system, then derive the criteria of H 2/H oo performance of uncertain linear system with disturbance. Hence combining them, we get the mixed H 2/H oo controller control with regional assignment for norm-bounded uncertain linear system with disturbance. The problem of the robust controller designed is changed into an optimization problem, and the robust controller is parameterized by the solution of the optimization. Since the optimization problem conditions are expressed in term of linear matrix inequalities, so it makes the proposed method practical utility. Finally the numerical example illustrates the effectiveness of the proposed approach.