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Research Papers

Fault Estimation and Fault-Tolerant Control of Markovian Jump System With Mixed Mode-Dependent Time-Varying Delays Via the Adaptive Observer Approach

[+] Author and Article Information
Dunke Lu

College of Electronic and Electric Engineering,
Shanghai University of Engineering Science,
Shanghai 201620, China
e-mail: ludunke@163.com

Xiaohang Li, Jin Liu, Guohui Zeng

College of Electronic and Electric Engineering,
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 139(3), 031002 (Nov 14, 2016) (9 pages) Paper No: DS-16-1210; doi: 10.1115/1.4034840 History: Received April 27, 2016; Revised August 26, 2016

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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Figures

Grahic Jump Location
Fig. 2

State estimations under controller (20)

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Fig. 3

Actuator fault estimation performance fa

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Fig. 4

Sensor fault estimation performance fs

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Fig. 6

State estimation of F-404 model under controller (20)

Grahic Jump Location
Fig. 7

Actuator fault estimation performance fa

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Fig. 8

Sensor fault estimation performance fs

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Fig. 1

Integration of fault estimation and fault-tolerant control

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