In this paper, the problem on simultaneous estimation of the actuator and sensor faults is first addressed for a class of Markovian jump systems with mixed mode-dependent time-varying delays. By using a generalized system technique, the original system is first transformed into a descriptor one; its states consist of original states and sensor fault. Then, a Markovian adaptive observer is designed for the descriptor system to provide simultaneous estimations of the state, actuator fault, and sensor fault. In the light of online acquired information, a state-feedback-based fault-tolerant controller is constructed to stabilize the closed-loop system in the presence of the actuator fault. Using the Lyapunov–Krasovskii functions, sufficient and necessity conditions for the existence of designed observer and controller are derived in terms of linear matrix inequalities, which can be solved readily through efficient mathematical tools. Finally, numerical and practical examples are given to validate the effectiveness of the proposed method.
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March 2017
Research-Article
Fault Estimation and Fault-Tolerant Control of Markovian Jump System With Mixed Mode-Dependent Time-Varying Delays Via the Adaptive Observer Approach
Dunke Lu,
Dunke Lu
College of Electronic and Electric Engineering,
Shanghai University of Engineering Science,
Shanghai 201620, China
e-mail: ludunke@163.com
Shanghai University of Engineering Science,
Shanghai 201620, China
e-mail: ludunke@163.com
Search for other works by this author on:
Xiaohang Li,
Xiaohang Li
College of Electronic and Electric Engineering,
Shanghai University of Engineering Science,
Shanghai 201620, China
Shanghai University of Engineering Science,
Shanghai 201620, China
Search for other works by this author on:
Jin Liu,
Jin Liu
College of Electronic and Electric Engineering,
Shanghai University of Engineering Science,
Shanghai 201620, China
Shanghai University of Engineering Science,
Shanghai 201620, China
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Guohui Zeng
Guohui Zeng
College of Electronic and Electric Engineering,
Shanghai University of Engineering Science,
Shanghai 201620, China
Shanghai University of Engineering Science,
Shanghai 201620, China
Search for other works by this author on:
Dunke Lu
College of Electronic and Electric Engineering,
Shanghai University of Engineering Science,
Shanghai 201620, China
e-mail: ludunke@163.com
Shanghai University of Engineering Science,
Shanghai 201620, China
e-mail: ludunke@163.com
Xiaohang Li
College of Electronic and Electric Engineering,
Shanghai University of Engineering Science,
Shanghai 201620, China
Shanghai University of Engineering Science,
Shanghai 201620, China
Jin Liu
College of Electronic and Electric Engineering,
Shanghai University of Engineering Science,
Shanghai 201620, China
Shanghai University of Engineering Science,
Shanghai 201620, China
Guohui Zeng
College of Electronic and Electric Engineering,
Shanghai University of Engineering Science,
Shanghai 201620, China
Shanghai University of Engineering Science,
Shanghai 201620, China
Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received April 27, 2016; final manuscript received August 26, 2016; published online November 14, 2016. Assoc. Editor: Shankar Coimbatore Subramanian.
J. Dyn. Sys., Meas., Control. Mar 2017, 139(3): 031002 (9 pages)
Published Online: November 14, 2016
Article history
Received:
April 27, 2016
Revised:
August 26, 2016
Citation
Lu, D., Li, X., Liu, J., and Zeng, G. (November 14, 2016). "Fault Estimation and Fault-Tolerant Control of Markovian Jump System With Mixed Mode-Dependent Time-Varying Delays Via the Adaptive Observer Approach." ASME. J. Dyn. Sys., Meas., Control. March 2017; 139(3): 031002. https://doi.org/10.1115/1.4034840
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