Abstract
This paper presents two approaches of observer based stabilization for Takagi-Sugeno (T-S) systems with immeasurable premise variables in continuous time case. These approaches are based on the description of the state estimation error by a T-S model. To design the observer based stabilization law, the concept of PDC (Parallel Distributed Compensation) is employed, the sufficient stabilization conditions are proved and expressed in the form of Linear Matrix Inequalities (LMI). The performances of these approaches are tested by simulation for an illustrate example and a physical system representing a two-link robot.
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Abdallah Salem was born in 1968, received his Engineer Degree in electrical science from the National School of Engineers of Tunis in 1992 and his Master Degree in automatic from the High School of Sciences and Techniques of Tunis, University of Tunis in 2002. He is a research member of the Laboratory of Advanced Systems at the Tunisia Polytechnic School, University of Carthage. He is preparing a Ph.D. dissertation in Electrical Engineering. His research field concerns the control and the state estimation of multi-models systems. Researcher Salem is also a Chief Engineer and Assistant Director at the Tunisia Ministry of Higher Education and Scientific Research in Tunisia.
Zohra Kardous received her Engineering Diploma and Master degrees, respectively, in Electrical Engineering in 1999 and in Automatic and Signal Processing in 2000 from the National School of Engineers of Tunis, then her Ph.D. degree in electrical engineering from both the Central School of Lille and the National School of Engineers of Tunis in 2004. She is a research member of the Laboratory of Advanced Systems at the Tunisia Polytechnic School, University of Carthage. She joined the National School of Engineers of Tunis as an Assistant Professor in 2005. Her current research interest includes modeling, control and stability analysis of nonlinear dynamical systems.
Naceur Benhadj Braiek was born in 1963 in Mahdia-Tunisia. He obtained his Engineering Master Degree from the National School of Engineers of Tunis in 1987, his Ph.D. from the University of Science and Technology of Lille-France in 1990 and the Science State Doctorate (Doctorat d’Etat ès Sciences) from the National School of Engineers of Tunis in 1995, all in electrical engineering. Currently he is a Professor at the High School of Sciences and Techniques of Tunis, University of Tunis, and head of the Laboratory of Advanced Systems at the Tunisia Polytechnic School, University of Carthage. His area of interest includes modeling, analysis, control and optimization of nonlinear dynamical systems on both theoretical developments and applications, and on which he has successfully advised numerous Ph.D., Masters, Thesis and published numerous papers and communications.
José Ragot received his Engineer Degree with specialization in control from the Central School of Nantes (France) in 1969. Then, he joined the University of Nancy (France) where is received the Master Degree in 1970. In 1973 he obtained his Ph.D. degree, a position as assistant professor at University Henri Poincaré in Nancy, and in 1980 the “Diplôme de Doctorat-es-Sciences”. José Ragot moved up to professor in 1985 at the National Polytechnic Institute of Lorraine. His major research fields include data validation and reconciliation, process diagnosis, fault detection and isolation. A part of his activities is devoted to modeling and state estimation, adapted to process diagnosis and mainly in the field of multi-models. Prof. Ragot is the researcher in the Research Center for Automatic Control of Nancy (France) where he was the head of the group “process diagnosis” during 12 years. Presently he is an Emeritus Professor (with highest degree “Classe Exceptionnelle”) at the Superior National School of Geology (France) where he has been in charge the formation in automatic control. He has successfully advised numerous Ph.D., Masters, Thesis and published numerous papers and communications.
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Salem, A., Kardous, Z., Braiek, N.B. et al. On the state observer based stabilization of Takagi-Sugeno systems with immeasurable premise variables. Int. J. Control Autom. Syst. 10, 1153–1163 (2012). https://doi.org/10.1007/s12555-012-0610-3
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DOI: https://doi.org/10.1007/s12555-012-0610-3