Composite anti-disturbance quantized control for interconnected semi-Markovian systems with multiple disturbances and actuator faults

Abstract

This paper investigates the composite anti-disturbance control problem for the interconnected Semi-Markovian systems with multiple disturbances and actuator faults, where the state signal of each subsystem is quantized by logarithmic quantizer before being transmitted into controller. Two representative types of external disturbances are considered simultaneously, one is norm-bounded and the other is formulated by an exogenous system. To attenuate the modelling disturbance and diagnose the actuator faults, a distributed disturbance observer with fault diagnosis observer is constructed. Then, the composite quantized control methodology is proposed to compensate disturbances and faults, and stabilize the overall system. On the basis of proper Semi-Markovian Lyapunov-Krasovskii functional, some sufficient criterions are derived to ensure the stochastic stability with a prescribed performance. Moreover, the desired observer and controller gain matrices can be attained via linear matrix inequalities (LMIs) technique. Finally, a simulation example is given to demonstrate the feasibility and effectiveness of theoretical results.