Journal
IEEE TRANSACTIONS ON CYBERNETICS
Volume 47, Issue 9, Pages 2413-2424Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TCYB.2017.2707462
Keywords
Dilated linear matrix inequalities (LMIs); fault isolation; fuzzy interconnected system; interval observer; piecewise Lyapunov functions
Categories
Funding
- Funds of National Science of China [61420106016, 61621004, 61603081]
- Research Fund of State Key Laboratory of Synthetical Automation for Process Industries [2013ZCX01-01]
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This paper is concerned with the fault isolation problem for discrete-time fuzzy interconnected systems with unknown interconnections. First, for each subsystem, a fault isolation interval observer is constructed by taking into account the bounds of the unknown interconnections and subsystem disturbances. Then, l(1) and H-infinity performances are introduced to improve the tightness of the residual intervals and the sensitivity to their own faults, respectively. Furthermore, the fault isolation decision is made by determining whether the zero value is excluded from each residual interval. By utilizing the piecewise Lyapunov functions and dilated linear matrix inequalities, the obtained observer design conditions are less conservative than the existing results with the common and diagonal Lyapunov functions. Finally, simulation results are presented for showing the effectiveness and superiority of the proposed method.
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