Fault detection observer design for fuzzy systems with local nonlinear models via fuzzy Lyapunov function

This paper concerns with the problem of designing fault detection (FD) observer for Takagi-Sugeno (T-S) fuzzy systems subject to local nonlinear models. Different from the quadratic Lyapunov function approaches, fuzzy Lyapunov function approach is applied to design the fault detection observer, and...

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Bibliographic Details
Published in:International journal of control, automation, and systems 2017, Automation, and Systems, 15(5), , pp.2233-2242
Main Authors: Liu, Guojun, Cao, Yong-Yan, Chang, Xiao-Heng
Format: Article
Language:English
Subjects:
Computer simulation
Control
Design
Engineering
Fault detection
Fuzzy systems
Liapunov functions
Linear matrix inequalities
Mathematical analysis
Mathematical models
Matrix methods
Mechatronics
Nonlinear systems
Regular Papers
Robotics
Systems stability
제어계측공학
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Summary:This paper concerns with the problem of designing fault detection (FD) observer for Takagi-Sugeno (T-S) fuzzy systems subject to local nonlinear models. Different from the quadratic Lyapunov function approaches, fuzzy Lyapunov function approach is applied to design the fault detection observer, and corresponding sufficient conditions are given in terms of linear matrix inequalities. In addition, combined with nonlinear local models scheme and slack variable technique, the T-S fuzzy systems have fewer fuzzy rules to reduce the computational burden. Compared with the existing results, less conservative results on existence of fuzzy fault detection observers are derived. Moreover, the designed fuzzy fault detection observer not only guarantees the residual system stability but also improves the H_ index estimation. It is noted that the H_ index is employed to measure the worst-cast fault sensitivity performance. Finally, a numerical simulation is given to illustrate the effectiveness of the designed fault detection observer.
ISSN:1598-6446
2005-4092
DOI:10.1007/s12555-016-0496-6