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ABSTRACT
In this paper, we study the problem of state estimation and both actuator and sensor fault detection for Linear Polytopic Parameter-Varying (LPV) system. The contribution of this work consists on the design of a novel robust adaptive observer based on polyquadratic formulations with a new set of relaxation. An optimisation problem is given in term of Linear Matrix Inequalities (LMI) in order to guarantee the stability of the system and the asymptotic convergence of faults error. A comparative study is made to prove the efficiency of the proposed polyquadratic algorithms against the quadratic ones. The performances and effectiveness of the proposed methods are illustrated in a simulation example where constant and variable actuator and sensor faults were detected.
Additional information
Notes on contributors
Neila Bedioui
Neila Bedioui received the diploma degree in electrical engineering from the ‘Ecole Suprieure de Technologie et d'Informatique Carthage’, Tunisia, in 2005. She obtained his M.Sc.-degree and Ph.D. degree in Electrical Engineering from ‘Ecole Nationale d'Ingnieurs de Tunis’, Tunisia, in 2006 and 2010, respectively. She is currently working as a assistant Professor at Higher Institute of information technologies and communication ‘ISTIC’, Tunisia and also as a researcher at the Laboratory RISC at ‘Ecole Nationale d'Ingnieurs de Tunis’, Tunisia. His research interests include robust control, nonlinear system, observers designs.
Radhia Houimli
Radhia Houimli received the diploma of Master degree from the ‘Ecole Suprieure de Technologie et d'Informatique Carthage’, Tunisia, in 2014 and her Ph.D.-degree in Electrical Engineering from ‘Ecole Nationale d'Ingnieurs de Carthage’, Tunisia, in 2018. She is currently working as a teacher in School ‘Al Fârâbî Al Mornaguia’ in Tunis. Here research interests include LPV observers designs, nonlinear system, fault detection.
Mongi Besbes
Mongi Besbes received the diploma degree in engineering from the ‘Ecole Nationale d'Ingnieurs de Tunis’, Tunisia, in 1993. He also received the Aggregation in Electrical Engineering in 1996 and the PHD from the ‘Ecole Nationale d'Ingnieurs de Sfax’, Tunisia, in 2008. He is currently the Director of the Higher Institute of Information and Communication Technologies, ‘ISTIC’, University of Carthage.