Anti-saturation fault-tolerant control for Markov jump nonlinear systems with unknown control coefficients and unmodeled dynamics

Abstract

In this paper, the problem of anti-saturation fault-tolerant control is investigated for a class of Markov jump nonlinear systems subject to input saturation. The nonlinear system under investigation contains unknown control coefficients, unmodeled dynamics and faults, which evolve according to the Markov chain. A new saturation dynamic filter is designed to reduce the effects of input saturation. The appropriate Lyapunov function is constructed by utilizing available dynamic signals to deal with unmodeled dynamics. The Nussbaum technique is combined with the norm estimation method, so that the challenges brought by faults and unknown parameters of Markov switching are effectively overcome. In addition, based on the command filtering method, the anti-saturation fault-tolerant controller is designed to ensure that all signals of the closed-loop system are bounded in probability. Finally, two examples are given to validate the effectiveness of the developed method.