Robust quadratic stabilization for a class of discrete-time nonlinear uncertain systems: a genetic algorithm approach

  • Authors:

  • Samir Nejim;Nawel Tej;Naceur Benhadj Braiek

  • Affiliations:

  • Laboratoire d'Etude et Commande Automatique de Processus, Ecole Polytechnique de Tunisie, La Marsa, Tunisia and Académie Navale, Menzel Bourguiba, Tunisia;Laboratoire d'Etude et Commande Automatique de Processus, Ecole Polytechnique de Tunisie, La Marsa, Tunisia;Laboratoire d'Etude et Commande Automatique de Processus, Ecole Polytechnique de Tunisie, La Marsa, Tunisia

  • Venue:
  • ACMOS'07 Proceedings of the 9th WSEAS international conference on Automatic control, modelling and simulation
  • Year:
  • 2007

Quantified Score

Hi-index 0.00

Visualization

Abstract

We present in this paper a new approach, to check the stability robustness of discrete-time systems under nonlinear perturbations. The systems are composed of a linear constant part perturbed by an additive nonlinearity. The unique information about the nonlinearity is that it satisfies a quadratic constraint. Our objective is to design a state feedback control law that maximizes the bound on the nonlinearity which the system can tolerate without destroying its stability. All results are obtained within the framework of a Genetic Algorithm (GA). The effectiveness of the method is illustrated through an example.