Fault estimation for descriptor linear systems based on the generalised dynamic observer

ABSTRACT

An observer-based method for actuator fault estimation for descriptor systems is presented. An innovative generalised dynamic observer for descriptor systems is synthesised to perform a convergent estimation of actuator faults. The main advantage of this observer is that it can be configured as a simple proportional observer or a proportional-integral observer, depending on the design specifications. An algorithm is provided to compute the observer gains, which are deduced from the stability analysis. Actuator faults occurring in a heat exchanger modelled in descriptor form are estimated in order to evaluate the capabilities of the observer.

KEYWORDS:

• Descriptor systems
• fault estimation
• generalised dynamic observer

Disclosure statement

No potential conflict of interest was reported by the authors.

ORCID

Gloria Osorio-Gordillo http://orcid.org/0000-0002-3445-8867

Carlos Astorga-Zaragoza http://orcid.org/0000-0002-4678-9006

Additional information

Notes on contributors

Gloria Osorio-Gordillo

Gloria Osorio-Gordillo was born in Oaxaca de Juárez, Oax., Mexico in May 1987. She received a Double Ph.D Degree in Automatic Control from both the University of Lorraine, France and the Tecnológico Nacional de México / Centro Nacional de Investigación y Desarrollo Tecnológico, CENIDET, Mexico in 2015. She received her M.Sc. degree in electronic engineering in 2011 from the CENIDET, Cuernavaca, Morelos, Mexico. She has been with CENIDET, Mexico, as an assistant professor since 2015. Her research interests are in observers design for descriptor and singular systems, for Takagi-Sugeno systems, LPV systems, fault diagnosis and fault tolerant control.

Carlos Astorga-Zaragoza

Carlos Astorga-Zaragoza was born in Minatitlán, Veracruz, Mexico, in 1967. He received the M.Sc. degree in electronic engineering from the Centro Nacional de Investigación y Desarrollo Tecnológico (CENIDET), Cuernavaca, Morelos, Mexico, in 1993, and the Ph.D. in process engineering from the Université Claude Bernard Lyon 1, France, in 2001. Since 1993, he has held teaching and research positions at the CENIDET, where he is member of the automatic control group at the Department of Electrical Engineering. His research interests include the nonlinear observers, fault diagnosis, and control systems with applications. In 2009 he performed a postdoctoral stage at Centre de Recherche en Automatique de Nancy, France. He was Editor of the 8th IFAC Symposium on Fault Detection, Supervision and Safety for Technical Processes, SAFEPROCESS 2012 and the General Chair of the National Congress of Automatic Control, AMCA 2015, in Mexico.

Abraham Pérez Estrada

Abraham Pérez-Estrada was born in Orizaba, Veracruz, Mexico, in 1990. He received a Bachelor’s Degree of Electronic Engineering from Technological Institute of Orizaba, Mexico, in 2013, a M. Sc. degree in Electronic Engineering from the Centro Nacional de Investigación y Desarrollo Tecnológico (CENIDET), Mexico in 2015. His main research interests include linear parameter varying polytopic models, fault diagnosis, fault tolerant control systems, analysis and control via LMI optimization techniques and Lyapunov methods.

Rodolfo Vargas-Méndez

Rodolfo Vargas-Méndez was born in Morelos, Mexico, in 1985. He received the Ph. D degree in electronics engineering in the area of power electronics from the Centro Nacional de Investigación y Desarrollo Tecnológico, CENIDET, Mexico in 2015. He received his M. Sc. degree in electronic engineering in 2011 from the CENIDET. He has been with CENIDET, Mexico as Chief of the Laboratory Specialized in electronic power converters for renewable sources and energy saving since 2016. His main research interests are in multilevel inverters symmetric and asymmetric topologies, carrier-based PWM methods, space-vector modulation and faulttolerant systems.

Mohamed Darouach

Mohamed Darouach received the graduate degree in electrical engineering from “Ecole Mohammadia d’Ingénieurs” Rabat, Morocco, in 1978, the Doctor Engineer in automatic control and Doctor of Sciences degrees in Physics from Nancy University, Nancy, France,in 1983 and 1986, respectively, and the degree Honoris Causa from the Technical University of IASI, Iasi, Romania. From 1978 to 1986, he was an Associate Professor and a Professor of automatic control at Ecole Hassania des Travaux Publics, Casablanca, Morocco. Since 1987, he has been a Professor at Université de Lorraine, Nancy. He has been a Vice Director of the Research Center in Automatic Control of Nancy (CRAN UMR 7039, Nancy-University, CNRS) from 2005 to 2013. Since 2010, he has been a member of the Scientific council of Luxembourg University. Since July 2013 He is a Vice Director of the University Institute of Technology of Longwy (Université de Lorraine). He held invited positions at University of Alberta, Edmonton, Canada, and University of Western Australia, Perth, Australia. His research interests include theoretical control, and observers design and control of large-scale uncertain systems with applications.

Latifa Boutat-Baddas

Latifa Boutat-Baddas received the Ph.D. degree in automatic control from the University of Cergy Pontoise, France in 2002. She has been with the Equipe Commande des Systèmes (ECS) at the Ecole Nationale Superieure d’Electronique et de ses Applications (ENSEA). She is now Associated Professor in Automatic Control at the University Henri Poincaré(Nancy I) and is with the Centre de Recherche en Automatique de Nancy (CRAN, CNRS). Her research interests include nonlinear systems analysis, observer theory and nonlinear control.