A Taboo Search Optimization of the Control Law of Nonlinear Systems with Bounded Uncertainties

Amira Gharbi, Mohamed Benrejeb, Pierre Borne

Abstract


The aim of this paper is to propose a method to determine among the eligible controls of a nonlinear system, with bounded perturbations, the one which minimizes the final error. The approach is based on the implementation of aggregation techniques using vector norms in order to determine a comparison system used to calculate an attractor in view of its minimization by implementation of metaheuristics.

Keywords


Attractor, aggregation technique, vector norm, optimization, Taboo search. \end{abstract}

Full Text:

PDF

References


Benrejeb, M. ; Borne, P. (1978); On an algebraic stability criterion for non-linear processe, Interpretation in the frequency domain, Measurement and Control International Symposium MECO, Athens: 678-682.

Gharbi, A.; Benrejeb, M. ; Borne, P. (2013); On nested attractors of complex continuous systems determination, Proceedings of the Romanian Academy, Series A, 14(2):259-265.

Gharbi, A.; Benrejeb, M. ; Borne, P. (2013); New Approach for the Control and the Determination of Attractors for Nonlinear Systems, 2nd International Conference on Systems and Computer Science (ICSCS), Villeneuve d'Ascq, France, August 26-27.

Gharbi, A.; Benrejeb, M. ; Borne, P. (2014); Tracking error estimation of uncertain Lur'e Postnikov systems, 2nd International Conference on Control, Decision and Information Technologies (CoDIT'14) Metz, France, November 3-5.

Benrejeb, M. (2010); Stability study of two level hierarchical nonlinear systems. Large Scale Complex Systems Theory and Applications IFAC Symposium, Plenerylecture,Lille, 9(1), 30- 41.

Borne, P.; Benrejeb, M. (2008);

On the representation and the stability study of large scale systems, International Journal of Computers Communications and Control, 3(5): 55-66.

Borne, P. (1987); Nonlinear system stability. Vector norm approach, System and Control Encyclopedia,Pergamon Press, Lille, France, 5:3402-3406.

Gentina, J.C.; Borne, P.; Burgat, C.; Bernussou, J., : Grujic, L.T. (1979). Sur la stabilite des systmes de grande dimension. Normes vectorielles, 13(1):57-75.

Gentina, J.C.; Borne, P.; Laurent, F. (1972a). Stabilite des systmes continus non linéaires de grande dimension,RAIRO, Aôut:69-77.

Gentina, J.C.; Borne, P. (1972b), Sur une condition d'application du critcre de stabilité linéaire certaines classes de systmes continus non linéaires, CRAS, Paris, T. 275: 401-404.

Grujic, L.T.; Gentina, J.C.; Borne, P.; Burgat, C.; Bernussou, J. (1978). Sur la stabilité des systmes de grande dimension. Fonctions de Lyapunov vectorielles,RAIRO, 12(4):319-348.

Grujic, L.T.; Gentina, J.C.; Borne, P. (1976). General aggregation of large scale systems by vector Lyapunov functions and vector norms,Inernational.Journal.of Control, 24(4): 29-550.
http://dx.doi.org/10.1080/00207177608932843

Stefanoiu, D.; Borne , P.; Popescu, D.; Filip, F. G. ; El Kamel, A.(2014); Optimization in engineering sciences. Metaheuristics, Stochastic method and Decision support, ISTE, Wiley:20-39.

Siljac, D. D. (1972); Stability of large scale systems under structural perturbations. IEEETrans. On Syst. Manand Cyber, 2(5).

Borne, P.; Richard, J.P.; Radhy, N.E. (1996). Stability, stabilization, regulation using vector norms, Nonlinear Systems, 2, Stability and Stabilization,Chapman and Hall, Chapter 2; 45- 90.

Ghédira K., (2007); Optimisation combinatoire par métaheuristiques, Editions TECHNIP, France.

Ennigron M.; Ghédira K (2004); Flexible Job-Shop Scheduling with Multi-Agent System and Taboo Search,Journal Européen des Systmes Automatisés JESA, 38: 7-8.




DOI: https://doi.org/10.15837/ijccc.2016.2.2010



Copyright (c) 2017 Amira Gharbi, Mohamed Benrejeb, Pierre Borne

Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

CC-BY-NC  License for Website User

Articles published in IJCCC user license are protected by copyright.

Users can access, download, copy, translate the IJCCC articles for non-commercial purposes provided that users, but cannot redistribute, display or adapt:

  • Cite the article using an appropriate bibliographic citation: author(s), article title, journal, volume, issue, page numbers, year of publication, DOI, and the link to the definitive published version on IJCCC website;
  • Maintain the integrity of the IJCCC article;
  • Retain the copyright notices and links to these terms and conditions so it is clear to other users what can and what cannot be done with the  article;
  • Ensure that, for any content in the IJCCC article that is identified as belonging to a third party, any re-use complies with the copyright policies of that third party;
  • Any translations must prominently display the statement: "This is an unofficial translation of an article that appeared in IJCCC. Agora University  has not endorsed this translation."

This is a non commercial license where the use of published articles for commercial purposes is forbiden. 

Commercial purposes include: 

  • Copying or downloading IJCCC articles, or linking to such postings, for further redistribution, sale or licensing, for a fee;
  • Copying, downloading or posting by a site or service that incorporates advertising with such content;
  • The inclusion or incorporation of article content in other works or services (other than normal quotations with an appropriate citation) that is then available for sale or licensing, for a fee;
  • Use of IJCCC articles or article content (other than normal quotations with appropriate citation) by for-profit organizations for promotional purposes, whether for a fee or otherwise;
  • Use for the purposes of monetary reward by means of sale, resale, license, loan, transfer or other form of commercial exploitation;

    The licensor cannot revoke these freedoms as long as you follow the license terms.

[End of CC-BY-NC  License for Website User]


INTERNATIONAL JOURNAL OF COMPUTERS COMMUNICATIONS & CONTROL (IJCCC), With Emphasis on the Integration of Three Technologies (C & C & C),  ISSN 1841-9836.

IJCCC was founded in 2006,  at Agora University, by  Ioan DZITAC (Editor-in-Chief),  Florin Gheorghe FILIP (Editor-in-Chief), and  Misu-Jan MANOLESCU (Managing Editor).

Ethics: This journal is a member of, and subscribes to the principles of, the Committee on Publication Ethics (COPE).

Ioan  DZITAC (Editor-in-Chief) at COPE European Seminar, Bruxelles, 2015:

IJCCC is covered/indexed/abstracted in Science Citation Index Expanded (since vol.1(S),  2006); JCR2018: IF=1.585..

IJCCC is indexed in Scopus from 2008 (CiteScore2018 = 1.56):

Nomination by Elsevier for Journal Excellence Award Romania 2015 (SNIP2014 = 1.029): Elsevier/ Scopus

IJCCC was nominated by Elsevier for Journal Excellence Award - "Scopus Awards Romania 2015" (SNIP2014 = 1.029).

IJCCC is in Top 3 of 157 Romanian journals indexed by Scopus (in all fields) and No.1 in Computer Science field by Elsevier/ Scopus.

 

 Impact Factor in JCR2018 (Clarivate Analytics/SCI Expanded/ISI Web of Science): IF=1.585 (Q3). Scopus: CiteScore2018=1.56 (Q2); Editors-in-Chief: Ioan DZITAC & Florin Gheorghe FILIP.