Reliable Static Output Feedback Guaranteed Cost Control for Uncertain Systems with Time-Delay

Abstract

In this paper, the issue of the static output feedback guaranteed cost reliable controllers investigated for uncertain linear systems with time-delay and actuator failures. By employing Lyapunov stability theory, Linear Matrix Inequality (LMI) and fault treatment method. Firstly, a static output feedback guaranteed cost controller is designed when there is no fault in the system. Then it is found that the system is unstable if the actuator fault occurs under the same controller. Therefore, for the same fault model, the static output feedback reliable controller is redesigned to make the system remain asymptotically stable and satisfy original performance index no matter the actuator fails or not. Finally, the simulation on the motion system of the linearized unmanned aerial vehicle and state response curve were made with MATLAB, and the simulation results show the feasibility and effectiveness of the proposed control method.