Abstract
This paper presents a new generalized dynamic observer (GDO) for quasi-linear parameter varying (LPV) systems. It generalises the structures of the proportional observer (PO) and proportional integral observer (PIO). The design of the GDO is derived from the solution of linear matrix inequalities (LMIs) and the solution of the algebraic constraints obtained from the estimation error analysis. The efficiency of the proposed approach is illustrated by a numerical example.
Zusammenfassung
Dieses Papier präsentiert einen neuen verallgemeinerten Dynamikbeobachter (GDO) für quasi-lineare parametervariante Systeme (LPV). Es verallgemeinert die Strukturen des proportionalen Beobachters (PO) und des Proportional-Integral-Beobachters (PIO). Das Design des GDO ist abgeleitet von der Lösung von linearen Matrixungleichungen (LMIs) und die Lösung daraus aus dem Schätzfehler der erhaltenen algebraischen Zwangsbedingungenanalyse. Die Effizienz des vorgeschlagenen Ansatzes wird veranschaulicht durch ein numerisches Beispiel.
About the authors
Abraham Jashiel 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 National Research and Technological Development Center (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.
Gloria-Lilia 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.
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 has been 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.
Victor-Hugo Olivares-Peregrino received his B.S. degree from the Morelia Institute of Technology, Morelia, Mexico, in 1994; and his M. S. and Ph. D. degrees from Centro Nacional de Investigación y Desarrollo Tecnológico (CENIDET), Cuernavaca, Mexico, in 1996 and 2008, respectively. Since 2011, he has been a Principal in the National Center of Research and Technological Development, Cuernavaca, Mexico. His current research interests include lighting and signal processing.
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