Citation: | ZHU Saijun, LU Dunke, LI Xiaohang. Observer-based Finite-time Fault-tolerant Control for Markovian Jump Systems[J]. INFORMATION AND CONTROL, 2020, 49(2): 210-218. DOI: 10.13976/j.cnki.xk.2020.9271 |
This study focuses on the finite-time fault estimation observer and fault-tolerant controller design for one-sided Lipschitz Markovian jump systems including generally uncertain transition rates. First, we propose an adaptive finite-time fault estimation observer, which is robust to unknown input, that can simultaneously estimate the states and actuator and sensor faults and ensure that the error dynamics is H∞ finite-time-bounded. Then, on the basis of the estimated states and actuator fault, a finite-time fault-tolerant control strategy is designed to guarantee the H∞ finite-time-boundedness of the closed-loop system. Sufficient conditions for the existence of the designed finite-time observer and controller are obtained in terms of linear matrix inequalities. Finally, a practical example is given to show the validation of the proposed method.
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