A Novel Approach to Reliable Control of Piecewise Affine Systems With Actuator Faults

This brief is devoted to the reliable piecewise affine (PWA) $\mathscr {H}_{\infty }$ static output feedback control problem for PWA systems with actuator faults. The actuator faults are characterized by a Markov process. Specifically, by adopting a state-input augmentation technique, the original closed-loop system is first reformulated into a descriptor PWA system. On the basis of a piecewise-Markovian Lyapunov function, and by exploiting advantage of the redundancy of descriptor system formulation, together with a linearization procedure, the PWA controller synthesis is then presented. It is shown that the desired PWA controller parameters can be attained via solving a linear matrix inequality-based optimization problem. Finally, a simulation example is carried out to confirm the effectiveness and less conservatism of the developed approach.