ABSTRACT
This paper deals with the problem of the fault detection (FD) for continuous-time singular switched linear systems with multiple time-varying delay. In this paper, the actuator fault is considered. Besides, the systems faults and unknown disturbances are assumed in known frequency domains. Some finite frequency performance indices are initially introduced to design the switched FD filters which ensure that the filtering augmented systems under switching signal with average dwell time are exponentially admissible and guarantee the fault input sensitivity and disturbance robustness. By developing generalised Kalman–Yakubovic–Popov lemma and using Parseval's theorem and Fourier transform, finite frequency delay-dependent sufficient conditions for the existence of such a filter which can guarantee the finite-frequency H− and H∞ performance are derived and formulated in terms of linear matrix inequalities. Four examples are provided to illustrate the effectiveness of the proposed finite frequency method.
Acknowledgements
The authors are grateful to the editors and the anonymous reviewers for their helpful comments and suggestion on this paper.
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No potential conflict of interest was reported by the authors.
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Notes on contributors
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Ding Zhai
Ding Zhai received his BS, MS, and PhD degrees from Northeastern University, China, in 1992, 1999, and 2004, respectively. He visited the Nanyang Technological University in 2004 as a research fellow. He is now an associate professor at Northeastern University. His research interests focus on fault detection.
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Anyang Lu
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Jinghao Li
Jinghao Li received his BSc degree in Mathematics from Northeastern University, China, in 2011, and MSc degree in systems theory from Northeastern University, China, in 2013. He is now pursuing his PhD degree in control theory and control engineering at Northeastern University, China. His current research interests focus on sliding mode control, descriptor system, and Markovian jump system.
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Qingling Zhang
Qingling Zhang received his BS and MS degrees from the Mathematics Department and PhD degree from the Automatic Control Department of Northeastern University, Shenyang, China, in 1982, 1986, and 1995, respectively. Dr Zhang is now a professor at Northeastern University. His research interests include descriptor system.