Extended Dissipative Fault-Tolerant Control for Fuzzy Markov Jump Nonlinear Systems with Randomly Occurring Gain Variations.

This paper aims to address the fault-tolerant control problem for a class of discrete-time Takagi–Sugeno fuzzy Markov jump systems, where Markov process is introduced to represent the structural changes in system parameters. And a group of Bernoulli distributed white variables are introduced to characterize the random gain variations. Also, according to Lyapunov stability theory, a set of sufficient conditions which can achieve the mean square stochastic stability with an extended dissipative performance index of the closed-loop systems are established. In the end, the effectiveness of the method proposed in this paper is illustrated by analyzing a numerical example. [ABSTRACT FROM AUTHOR]