Fault detection and isolation using viability theory and interval observers

ABSTRACT

This paper proposes the use of interval observers and viability theory in fault detection and isolation (FDI). Viability theory develops mathematical and algorithmic methods for investigating the viability constraints characterisation of dynamic evolutions of complex systems under uncertainty. These methods can be used for checking the consistency between observed and predicted behaviour by using simple sets that approximate the exact set of possible behaviour (in the parameter or state space). In this paper, FDI is based on checking for an inconsistency between the measured and predicted behaviours using viability theory concepts and sets. Finally, an example is provided in order to show the usefulness of the proposed approach.

KEYWORDS:

• Fault detection
• fault isolation
• interval observer
• viability theory

Acknowledgement

This work was partially supported by the Spanish State Research Agency (AEI) and the European Regional Development Fund (ERFD) through the projects ECOCIS (ref. DPI2013-48243-C2-1-R), DEOCS (ref. DPI2016-76493-C3-3-R) and HARCRICS (ref. DPI2014-58104-R).

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Notes on contributors

Majid Ghaniee Zarch

Majid Ghaniee Zarch received his B.Sc. and M.Sc. degrees in control engineering from Ferdowsi University and K.N. Toosi University of Technology, respectively. He is currently working towards a Ph.D. at Iran University of Science and Technology, Iran. His research interests include fault diagnosis, fault tolerant control and intelligent systems.

Vicenç Puig

Vicenç Puig received his B.Sc./M.Sc. Degree in Telecommunications Engineering in 1993 and Ph.D. degree in Automatic Control, Vision and Robotics in 1999, both from the Technical University of Catalonia (UPC). He is a full professor at the Automatic Control Department of the UPC and a researcher at the Institute of Robotics and Industrial Informatics (IRI), CSIC-UPC. He is the chair of the Automatic Control Department and the head of the research group on Advanced Control Systems (SAC) at the UPC. He has developed important scientific contributions in the areas of fault diagnosis and fault tolerant control, using interval and linear-parameter-varying models using set-based approaches. He has participated in more than 20 European and national research projects in the last decade. He has also led many private contracts with several companies and has published more than 140 journal articles as well as over 400 contributions in international conference/workshop proceedings. He has supervised over 20 Ph.D. dissertations and over 50 Master’s theses/final projects. He is currently the vice-chair of the IFAC Safeprocess TC Committee 6.4 (2014–2018). He was the general chair of the 3rd IEEE Conference on Control and Fault-Tolerant Systems (SysTol’2016) and is the IPC chair of IFAC Safeprocess 2018.

Javad Poshtan

Javad Poshtan received his B.Sc., M.Sc., and Ph.D. degrees in electrical engineering from Tehran University, Tehran, Iran, in 1987, Sharif University of Technology, Tehran, Iran, in 1991, and the University of New Brunswick, Canada, in 1997, respectively. Since 1997, he has been with the Department of Electrical Engineering at Iran University of Science and Technology. He is involved in academic and research activities in areas such as control systems theory, system identification, and estimation theory.

Mahdi Aliyari Shoorehdeli

Mahdi Aliyari Shoorehdeli received his B.Sc. degree in electronics engineering, his M. Sc. degree and Ph.D. degree in control engineering from K. N. Toosi University of Technology, in 2001, 2003 and 2008, respectively. He is currently an Assistant Professor with the Department of Mechatronics Engineering, K. N. Toosi University of Technology, Tehran. He is the author of more than 150 papers in international journals and conference proceedings. His research interests include fault detection and diagnosis, intelligent control of mechatronics systems and multi objective optimization.