An LMI Technique for the Global Stabilization of Nonlinear Polynomial Systems

  • Mohamed Moez Belhaouane Laboratoire d’Etude et Commande Automatique de Processus - LECAP Ecole Polytechnique de Tunisie (EPT), BP.743, 2078 La Marsa, Tunis, Tunisie.
  • Riadh Mtar Laboratoire d’Etude et Commande Automatique de Processus - LECAP Ecole Polytechnique de Tunisie (EPT), BP.743, 2078 La Marsa, Tunis, Tunisie.
  • Hela Belkhiria Ayadi Laboratoire d’Etude et Commande Automatique de Processus - LECAP Ecole Polytechnique de Tunisie (EPT), BP.743, 2078 La Marsa, Tunis, Tunisie.
  • Naceur Benhadj Braiek Laboratoire d’Etude et Commande Automatique de Processus - LECAP Ecole Polytechnique de Tunisie (EPT), BP.743, 2078 La Marsa, Tunis, Tunisie.

Abstract

This paper deals with the global asymptotic stabilization of nonlinear polynomial systems within the framework of Linear Matrix Inequalities (LMIs). By employing the well-known Lyapunov stability direct method and the Kronecker product properties, we develop a technique of designing a state feedback control law which stabilizes quadratically the studied systems. Our main goal is to derive sufficient LMI stabilization conditions which resolution yields a stabilizing control law of polynomial systems.

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Published
2009-12-01
How to Cite
BELHAOUANE, Mohamed Moez et al. An LMI Technique for the Global Stabilization of Nonlinear Polynomial Systems. INTERNATIONAL JOURNAL OF COMPUTERS COMMUNICATIONS & CONTROL, [S.l.], v. 4, n. 4, p. 348-348, dec. 2009. ISSN 1841-9844. Available at: <http://univagora.ro/jour/index.php/ijccc/article/view/2451>. Date accessed: 05 july 2020. doi: https://doi.org/10.15837/ijccc.2009.4.2451.

Keywords

Nonlinear Polynomial systems, Lyapunov method, Global stabilization, Kronecker product, LMI approach