Integrated Design of Fault-Tolerant Control for a Class of Switching Systems with Sensor Faults

This paper proposes an integrated design of fault tolerant control (FTC) for continuous-time switched systems in the presence of sensor faults and external disturbances. A switched descriptor observer is proposed to estimate the sensor faults and system states simultaneously, and using the estimates, a state feedback fault-tolerant controller is constructed to en-sure the robust stability of the closed-loop system. The observer and controller gain are determined through H
∞
optimization using a one-step Linear Matrix Inequality (LMI) formula. This is achieved by utilizing multiple Lyapunov functions and the concept of Average Dwell Time (ADT) switching signal. Sufficient conditions, characterized by reduced conservatism, are then derived and expressed in LMI form. Finally, a simulation analysis of a two-tank liquid level control system is presented to illustrate the effectiveness of the developed integrated FTC strategy.