Reliable Control with Variance Constraints for Linear Uncertain Systems

The design of state feedback reliable control of linear uncertain system is studied. The reliable control guarantees the closed-loop poles within a specified area and steady-state variances. A more practical and common actuator fault model than outage is adopted. Using LMIs approach, the existence conditions of such reliable controller are derived without introducing additional conservativeness. A acceptable variances upper bound is guaranteed in case of the actuator faults, and the performance index is optimized in the normal case. An example is given to illustrate the proposed design procedures. Simulation results show the effectiveness of the design method. Furthermore, the normal controller and the reliable controller are compared to show the necessity of reliable control.