Simultaneous fault detection and control for continuous-time Markovian jump systems with partially unknown transition probabilities

This paper focuses on the problem of the simultaneous fault detection and control (SFDC) for continuous-time Markovian jump systems (MJSs) with partially unknown transition probabilities (TPs). Under the H∞/H− framework, the fault detection filter and dynamic output feedback controller are presented simultaneously. An adaptive method is utilized to solve the difficulty caused by the unknown transition probabilities. Based on the linear matrix inequality (LMI) approach with adaptive mechanism, a sufficient condition for designing fault detection filter and controller which satisfy the H∞/H− performance is proposed in terms of the adaptive laws. The simulation results are provided to illustrate the validity and applicability of the proposed control scheme.