Research Article

Self-Tuning Control of a Nonlinear Stochastic Systems Described by a Hammerstein Mathematical Model

by  Houda Salhi, Samira Kamoun
journal cover
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 39 - Issue 8
Published: February 2012
Authors: Houda Salhi, Samira Kamoun
10.5120/4839-7101
PDF

Houda Salhi, Samira Kamoun . Self-Tuning Control of a Nonlinear Stochastic Systems Described by a Hammerstein Mathematical Model. International Journal of Computer Applications. 39, 8 (February 2012), 15-22. DOI=10.5120/4839-7101

                        @article{ 10.5120/4839-7101,
                        author  = { Houda Salhi,Samira Kamoun },
                        title   = { Self-Tuning Control of a Nonlinear Stochastic Systems Described by a Hammerstein Mathematical Model },
                        journal = { International Journal of Computer Applications },
                        year    = { 2012 },
                        volume  = { 39 },
                        number  = { 8 },
                        pages   = { 15-22 },
                        doi     = { 10.5120/4839-7101 },
                        publisher = { Foundation of Computer Science (FCS), NY, USA }
                        }
                        %0 Journal Article
                        %D 2012
                        %A Houda Salhi
                        %A Samira Kamoun
                        %T Self-Tuning Control of a Nonlinear Stochastic Systems Described by a Hammerstein Mathematical Model%T 
                        %J International Journal of Computer Applications
                        %V 39
                        %N 8
                        %P 15-22
                        %R 10.5120/4839-7101
                        %I Foundation of Computer Science (FCS), NY, USA
Abstract

In this paper, we developed the parametric estimation and the self-tuning control problem of the nonlinear systems which are described by discrete-time nonlinear mathematical models, with unknown, time-varying parameters, and operative in a stochastic environment. The parametric estimation is realized by using the prediction error method and the recursive least squares techniques. The self-tuning control problem is formulated by minimizing a certain quadratic criterion. An example of numerical simulation is treated in this paper, to test the proposed self-tuning control method.

References
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  • Voros, J.2002. Modeling and parameter identification of systems with multisegment piecewise-linear characteristics. IEEE Transactions on Automatic Control, vol. AC-47, pp. 184-188.
  • Kamoun, S. 2003. Contribution to the identification and the self-tuning control of complex systems. Thesis of doctorate in Electrical Engineering (Automatic), National Engineering School of Sfax, University of Sfax, Tunisie.
  • Isermann et al.1992. Adaptive Control Systems. Prentice-Hall, New York.
  • Salhi, H. 2010. Development of the self-tuning control diagrams of the nonlinear systems. Memory of master in automatic and industrial data processing. National Engineering School of Sfax, University of Sfax, Tunisie..
  • Oliver Nelles . 2001. Nonlinear system identification. Springer, 2001.
  • Laurain.V and al. 2008. Refined Instrumental Variable Methods for Hammerstein Box-Jenkins Models. Proceedings of the 47th IEEE Conference on Decision and Control, Cancun, Mexico.
  • Wang.X and al. 2011. Identification of Hammerstein Models Based on Online Support Vector Regression. Proceedings of the 30th Chinese Control Conference July 22-24, 2011, Yantai, China.
Index Terms
Computer Science
Information Sciences
No index terms available.
Keywords

Parametric estimation Discrete-time Hammerstein mathematical model recursive instrumental variable algorithm Self-tuning control

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