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ABSTRACT
This paper presents a robust fault reconstruction scheme for a class of infinitely unobservable descriptor systems using sliding-mode observers, which improves on previous work that do not consider robustness in fault reconstruction or are applicable only for infinitely observable systems. By removing certain states and treating them as unknown inputs, a reduced-order system that is infinitely observable and compatible with existing sliding-mode observer schemes is created. A sliding-mode observer is used to estimate the states of the reduced-order system and reconstruct the fault. The existence conditions for the scheme in terms of the original system matrices are investigated and presented. Linear matrix inequality techniques are used to minimise the effect of disturbances on the fault reconstruction. Finally, a simulation is carried out and the results verify the efficacy of the proposed scheme.
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No potential conflict of interest was reported by the authors.
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Notes on contributors
Joseph Chang Lun Chan
Joseph Chang Lun Chan received his B.Eng. degree (with Honours) in Mechatronics Engineering from Monash University Malaysia in 2013. He is currently a Ph.D. student with the School of Engineering, Monash University Malaysia. His research focusses on the application of sliding mode observers in infinitely unobservable descriptor systems.
Chee Pin Tan
Chee Pin Tan received his B.Eng. (first class honours) and Ph.D. degrees from Leicester University, Leicester, UK, in 1998 and 2002, respectively. He was appointed as Lecturer at the School of Engineering, Monash University Malaysia, in 2002, subsequently promoted to Senior Lecturer in 2008 and an Associate Professor in 2013. He has published over 50 internationally peer-reviewed research articles including a book on fault reconstruction. His research interests include robust fault estimation and observers.
Hieu Trinh
Hieu Trinh received his B.Eng. (Hons.), M.Eng.Sc., and Ph.D. degrees from the University of Melbourne, Melbourne, VIC, Australia, in 1990, 1992, and 1996, respectively, all in electrical and electronic engineering. He joined Deakin University, Geelong, VIC, Australia, in 2001, where he is currently an Associate Professor. His current research interests include systems and control theory, fault diagnosis and fault-tolerant control, time-delay systems, and application of control theory to industrial systems and power systems. He has published a research book entitled Functional Observers for Dynamical Systems (Springer, 2012), and over 130 refereed journal papers. He is an Associate Editor of IET Control Theory & Applications.