Sensor fault diagnosis of singular delayed LPV systems with inexact parameters: an uncertain system approach

ABSTRACT

In this paper, sensor fault diagnosis of a singular delayed linear parameter varying (LPV) system is considered. In the considered system, the model matrices are dependent on some parameters which are real-time measurable. The case of inexact parameter measurements is considered which is close to real situations. Fault diagnosis in this system is achieved via fault estimation. For this purpose, an augmented system is created by including sensor faults as additional system states. Then, an unknown input observer (UIO) is designed which estimates both the system states and the faults in the presence of measurement noise, disturbances and uncertainty induced by inexact measured parameters. Error dynamics and the original system constitute an uncertain system due to inconsistencies between real and measured values of the parameters. Then, the robust estimation of the system states and the faults are achieved with H_∞ performance and formulated with a set of linear matrix inequalities (LMIs). The designed UIO is also applicable for fault diagnosis of singular delayed LPV systems with unmeasurable scheduling variables. The efficiency of the proposed approach is illustrated with an example.

KEYWORDS:

• Singular delayed LPV system
• unknown input observer (UIO)
• fault diagnosis
• inexact parameters
• uncertain system approach

Disclosure statement

No potential conflict of interest was reported by the authors.

Notes

1. In the following notation, the dimension of matrix blocks is represented as subscripts for the sake of clarity.

Additional information

Notes on contributors

Amir Hossein Hassanabadi

Amir Hossein Hassanabadi received B.Sc. degrees in control systems engineering and electronics respectively in 2007 and 2009 both from Amirkabir University of Technology (Tehran Polytechnic), Tehran, Iran. He received M.Sc. degree and Ph.D. degree in control systems engineering respectively in 2010 and 2016 from Amirkabir University of Technology. He is currently an assistant professor in Electrical Engineering Department of Qazvin Islamic Azad University (QIAU). His current research interests are singular systems, robotics, time delay systems, linear parameter varying (LPV) systems and fault diagnosis.

Masoud Shafiee

Masoud Shafiee was born in 1957. He Received the BS degree in mathematics, College of Management and Mathematics, Karaj, Iran, 1978, the MS degrees in mathematics (1981) and system engineering (1983) from Write State University, Dayton, Ohio, USA. He also received MS and PhD degrees in electrical engineering from Louisiana State University, Baton Rouge, Louisiana, USA, in 1985 and 1987, respectively. In 1987 he joined the Department of Electrical Engineering (EE), Amirkabir University of Technology where he is currently a full Professor of EE. His current research interests are in multi-dimensional (M-D) system, singular systems, robotics and network stability. He is the author/co-author of over 180 research papers and 12 books (as author) and 10 books (as translator) in the areas of signals, systems and mathematics. Professor Shafiee has held numerous positions during his career and established the first Electrical Engineering Conference in Iran in 1993. He has been associated with all Electrical Engineering Conferences in Iran. He was a guest lecturer at different universities including UMIST, University of Sheffield and Manchester Metropolitan University (UK) and also a symposium on “Two-dimensional Singular Systems” (UMIST). He is a member of the executive board of Society of Iranian Control and Instrument Engineers, editorial board of Iranian journal of electrical & electronic engineering, Journal of Control, Iranian Journal of Science and Technology. He is also editor-in-chief of Journal of Information Systems and Telecommunication and Trilateral Congress and editor of seven Conferences and Proceeding of Iranian Electrical Engineering Conference and Trilateral Congress. He is a member of IEEE Control Systems Society Technical Committee on IFAC and ICEE.

Vicenc Puig

Vicenç Puig received a telecommunications engineering degree in 1993 and a PhD degree in automatic control, vision, and robotics in 1999, both from Universitat Politècnica de Catalunya (UPC). He is full professor at the Automatic Control Department and a researcher at Institut de Robòtica i Informàtica Industrial at UPC. He is the chair of the Automatic Control Department and the head of the research group on advanced control systems (SAC) at UPC. He has developed important scientific contributions in the areas of fault diagnosis and fault tolerant control using interval and linear-parameter-varying models with 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 100 journal articles as well as 350 papers in international conference/workshop proceedings. He has supervised over 18 PhD dissertations and more than 40 Master's theses/final projects. He is currently the vice-chair of the IFAC Safeprocess TC Committee 6.4 (2014–2017). He is the chair of the 3rd IEEE Conference on Control and Fault-Tolerant Systems (Systol 2016) and the IPC chair of IFAC Safeprocess 2018.