Abstract
This paper considers the problem of simultaneous estimation of the system states and the strategy of commutation for a larger class of nonlinear switched systems. First, a hybrid high gain observer is considered to get the exact estimation of the continuous states where the strategy of switching is previously known. Then, an extension to a larger class of nonlinear hybrid systems with arbitrary switching is made. Stability analysis is widely discussed for the two cases to provide a finite-time convergence of the estimation errors. The effectiveness of the proposed hybrid high gain observer has been proved by applying it to a quadruple tank process.
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Recommended by Associate Editor Wing Cheong Daniel Ho
Imen Manaa graduated from the National Engineering School of Gabes (ENIG), Tunisia in 2007. She received the M. Sc. degree in electrical engineering from the National Engineering School of Monastir (ENIM), Tunisia in 2009. She is currently a Ph. D. candidate and a member of the research unit of Study of Industrial Systems and Renewable Energy, ENIM, Tunsia. She is currently a contractual assistant professor at the Higher Institute of Computing and Techniques of Communication, Hammam-Sousse, Tunisia.
Her research interests include sliding mode control and nonlinear observers for hybrid systems.
ORCID iD: 0000-0002-5686-3919
Nabil Barhoumi graduated from the National Engineering School of Gabes (ENIG), Tunisia in 2005. He received the M. Sc. degree in automatic control from the INSAT, Tunisia in 2007. He is a member of the research unit of Study of Industrial Systems and Renewable Energy. He obtained the Ph.D. degree in electrical engineering from ENIM, Tunsia. He is currently an assistant professor at the Higher Institute of Applied Sciences and Technologies of Sousse, Tunisia.
His research interests include predictive control and nonlinear observers for hybrid systems.
Faouzi Msahli received the M. Sc. degree of and the DEA from the High Normal School of Technical Education (ENSET), Tunisia in 1987 and 1989, respectively. He obtained the Ph.D. and the Higher Degree Research (HdR) degrees in electrical engineering from the National Engineering School of Tunis, Tunisia, in 1995 and 2001, respectively. He is the co-author of the book Identification and Digital Control of Industrial Processes, Paris, France. He is currently a professor of automatic control, ENIM, Tunisia. He is the co-responsible of the research unit of Study of Industrial Systems and Renewable Energy and the vice president of the Tunisian Association of Numerical Techniques and Automatic Control (ATTNA).
His research interests include modeling, identification, predictive and adaptive control of linear and nonlinear systems.
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Manaa, I., Barhoumi, N. & Msahli, F. Global stability analysis of switched nonlinear observers. Int. J. Autom. Comput. 12, 432–439 (2015). https://doi.org/10.1007/s11633-014-0855-9
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DOI: https://doi.org/10.1007/s11633-014-0855-9