On the LQ Based Stabilization for a Class of Switched Dynamic Systems - Archive ouverte HAL Accéder directement au contenu
Communication Dans Un Congrès Année : 2020

On the LQ Based Stabilization for a Class of Switched Dynamic Systems

Résumé

This paper deals with the stabilization of a class of time-dependent linear autonomous systems with a switched structure. For this aim, the switched dynamic system is modeled by means of an implicit representation combined with a Linear-Quadratic (LQ) type control design. The proposed control design stabilizes the resulting system for all of the possible realizations of its locations. In order to solve the Algebraic Riccati Equation (ARE) associated with the LQ control strategy one only needs the knowledge of the algebraic structure related to the switched system. We finally prove that the proposed optimal LQ type state feedback stabilizes the closed-loop switched system no matter which location is active. The proposed theoretical approaches are illustrated by a numerical example.
Fichier principal
Vignette du fichier
1252-2.pdf (340.1 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-03015017 , version 1 (26-11-2020)

Identifiants

  • HAL Id : hal-03015017 , version 1

Citer

Marco Antonio Ortiz Castillo, M. Bonilla, Jean-Jacques Loiseau, Michel Malabre, Vadim Azhmyakov. On the LQ Based Stabilization for a Class of Switched Dynamic Systems. 21st IFAC World Congress (IFAC 2020), Jul 2020, Berlin, Germany. ⟨hal-03015017⟩
41 Consultations
25 Téléchargements

Partager

Gmail Facebook X LinkedIn More