Consider actuator fault reliable pole placement in mixed region

For a class of linear invariant time systems, this paper not only gives the necessary and sufficient conditions of poles in the centrifugal sector region, but also presents an LMI (Linear Matrix Inequality) based approach to design a state-feedback reliable controller for mixed region. A more practical continuous model of actuator failures than discrete model is considered, we present the sufficient condition for existence of the state feedback reliable controller. By solving the LMI, determine the parameter matrix of the robust reliable controller. The reliable controller given can keep from the influence of actuator faults and achieve pole placement in the mixed region. A numerical example is given to show the effectiveness and the feasibility of the obtained results.