Original scientific paper
https://doi.org/10.1080/00051144.2020.1836592
Robust fault estimation and fault-tolerant control for nonlinear Markov jump systems with time-delays
Xingjian Fu
orcid.org/0000-0002-0544-0289
; School of Automation, Beijing Information Science and Technology University, Beijing, People’s Republic of China
Xinrui Pang
; School of Automation, Beijing Information Science and Technology University, Beijing, People’s Republic of China
Abstract
The problem of the robust fault estimation and robust fault-tolerant control, for a class of nonlinear time-delayed Markov jump systems (MJSs) with both actuator and sensor faults, was studied. Firstly, by extending the system state, the actuator fault state vector, the sensor fault state vector and the original system state vector were extended to auxiliary state variables, and the original system was extended to a generalized system. Then, for the singular system, a generalized observer was designed to achieve the simultaneous estimation of its actuator faults, sensor faults and original system state. In addition, based on the observer estimation, a state feedback fault-tolerant controller was designed to make the closed-loop system stable and meet certain performance indicators. By solving linear matrix inequality, sufficient conditions for the existence of generalized observer and fault-tolerant controller were given. Finally, a numerical example and a practical example were given to demonstrate the effectiveness of the proposed approach.
Keywords
Markov jump systems; generalized observer; robust fault estimation; robust fault-tolerant control
Hrčak ID:
258410
URI
Publication date:
30.3.2021.
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