Robust Observer Based Fault-tolerant Control for One-sided Lipschitz Markovian Jump Systems with General Uncertain Transition Rates

This paper presents an integrated design of adaptive sliding mode observer and fault-tolerant control for a class of one-sided Lipschitz Markovian jump systems with general uncertain transition rates. In the design process, an adaptive sliding mode observer is first constructed to estimate the states of the original system without knowing any information of the unknown input. Then a fault-tolerant control strategy is therefore proposed to stabilize the closed-loop system against the unknown input. Sufficient conditions of the existences of the designed observer and controller are deduced in the forms of linear matrix inequalities. In the end, several examples are given to illustrate the effectiveness and make some comparisons with other results.