Robust finite-time fault-tolerant control for networked control systems with random delays: A Markovian jump system approach

Abstract

In this paper, the problems of robust finite-time fault-tolerant stochastic stability and stabilization of networked control systems (NCSs) in the presence of random delays and actuator faults are investigated. First, sensor-to-controller and controller-to-actuator random delays are modeled as a Markov chain. Since in the network environment, the accurate access to the transition probabilities (TPs) of Markov chain is hard or even impossible, TPs information is limited. Then, by considering actuator fault indicator matrix and employing the state augmentation technique, the resulting closed-loop system is transformed into a Markovian jump system (MJS). Based on this model, the sufficient conditions are developed to ensure the finite-time fault-tolerant stochastic stability of the faulty NCS, and the fault-tolerant controllers are designed by solving a feasibility problem in terms of linear matrix inequalities (LMIs). The effectiveness of the proposed approach is illustrated during the simulation of a numerical example. Moreover, the faulty behavior of a continuous-stirred tank reactor (CSTR) is investigated and the applicability of the proposed method is demonstrated.