On the Synthesis of an Integrated Active FTC Scheme for Continuous-Time Switched Systems with Actuator Faults

The present paper aims to design an integrated state/fault estimation and fault tolerant control issues for switched systems affected by actuator fault and external disturbances. A switched adaptive state/fault estimation observer is proposed to simultaneously estimate the system state and actuator fault. Based on this observer, we develop a fault tolerant control law not only to stabilize the closed-loop system, but also to compensate the faults effects. Then, by using the switched Lyapunov function and Average Dwell Time (ADT) concept, some sufficient conditions are derived and applied to build the switched adaptive observer-based state feedback controller. The observer and controller gain matrices are also obtained by solving an optimization problem with Linear Matrix Inequality (LMI) constraints. Finally, simulation results of a switched electrical system are presented to illustrate the effectiveness of the proposed design methods.