Abstract
ABSTRACTThe present paper is devoted to solving the problems on simultaneous actuator and sensor faults estimation for a class of Lipschitz Markovian jump systems with partly unknown transition rates. First, the original system is converted into a descriptor system, by taking the actuator fault and sensor fault as parts of the new state. Then, an adaptive sliding-mode observer, being robust to disturbance, is developed for the transformed system to simultaneously estimate the states, actuator fault and sensor fault. The designed adaptive laws are brought to settle the Lipschitz nonlinearity with unknown constant. The sufficient conditions of the existence of the designed robust observer are proposed in terms of linear matrix inequalities. Finally, some practical examples are given to illustrate the validation and effectiveness of the theoretical results.
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