Piecewise Linear Control for Continuous-Time Markov Jump PWA Systems Based on Adaptive Fault-Tolerant Strategy

This paper investigates the issue of piecewise-linear (PWL) control design for a class of continuous-time Markov jump piecewise-affine (PWA) systems based on adaptive fault-tolerant strategy. To solve the problem of switching path selection between different system modes and PWA regions, a new switching path selection (SPS) algorithm is proposed. Moreover, an efficient adaptive law is developed to ensure that the system remains stochastic stable even with actuator faults. By employing above methods and constructing the piecewise Lyapunov functional, a sufficient condition in the form of linear matrix inequalities (LMIs) can be obtained. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.