Pole assignment for uncertain system in mixed region

For a class of uncertain linear system, using state feedback, it gives a sufficient condition of placing all poles of the closed-loop system in mixed region, in terms of linear matrix inequality (LMI). At the same time, it presents a way to design the reliable controller. When faults occur, the closed-loop poles of reliable system are still in the specified mixed region. Moreover, the numerical example illustrate the design method is feasible and effective in the end of this paper.