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An approach to polynomial NARX/NARMAX systems identification in a closed-loop with variable structure control

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Abstract

Many physical processes have nonlinear behavior which can be well represented by a polynomial NARX or NARMAX model. The identification of such models has been widely explored in literature. The majority of these approaches are for the open-loop identification. However, for reasons such as safety and production restrictions, open-loop identification cannot always be done. In such cases, closed-loop identification is necessary. This paper presents a two-step approach to closed-loop identification of the polynomial NARX/NARMAX systems with variable structure control (VSC). First, a genetic algorithm (GA) is used to maximize the similarity of VSC signal to white noise by tuning the switching function parameters. Second, the system is simulated again and its parameters are estimated by an algorithm of the least square (LS) family. Finally, simulation examples are given to show the validity of the proposed approach.

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Authors and Affiliations

  1. Laboratory of Systems Analysis and Control, Department of Electrical Engineering, National School for Engineers of Tunis, le Belvédère 1002, Tunis, Tunisia

    O. M. Mohamed Vall

  2. Research Unit of Electrical Machines and Power Systems (RME), National Institute of Applied Sciences and Technology of Tunis, Tunis, Tunisia

    R. M’hiri

Authors
  1. O. M. Mohamed Vall
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  2. R. M’hiri
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Correspondence to O. M. Mohamed Vall.

Additional information

O. M. Mohamed Vall received his B. Sc. degree in electronic from the Faculty of Sciences of Tunis, Tunisia, in 1998 and the M. Sc. degree in automatic control and signal processing and the Ph.D. degree in electric engineering from National School of Engineers of Tunis (ENIT), in 2001 and 2007, respectively. He is teaching in the Computer Sciences Department at the Faculty of Sciences of Bizerte, Tunisia. His research interests include robust automatic control, sliding mode, and systems identification.

R. M’hiri received his M. Sc. and Ph.D. degrees in automatic control from the Tunis University, Higher School of Sciences and Technology of Tunis, (ENSET), Tunisia, and his Habilitation in electrical engineering from the Tunis El Manar University (ENIT), Tunisia, in 2000. Currently, he is a professor in the Department of Physics at Tunis El Manar University, Tunisia. He is collaborator member of the Center for Research in Higher Education (CRHE) at University of Sherbrooke, Canada. He is the head of a research group (AIA) on automatic control at his university, he has published about 100 refereed journal and conference papers. His research interests include feedback control systems, control theory, hybride system, and e-learning.

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Mohamed Vall, O.M., M’hiri, R. An approach to polynomial NARX/NARMAX systems identification in a closed-loop with variable structure control. Int. J. Autom. Comput. 5, 313–318 (2008). https://doi.org/10.1007/s11633-008-0313-7

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  • DOI: https://doi.org/10.1007/s11633-008-0313-7

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