Title :
On the computation of invariant sets for constrained nonlinear systems: An interval arithmetic approach
Author :
Bravo, J.M. ; Limon, D. ; Alamo, T. ; Camacho, E.F.
Author_Institution :
Departamentu de Ingeniería Electrónica, Sistemas Informáticos y Automática. Universidad de Huelva, Carretera Huelva - La Rábida 21071 Palos de la Fra. Huelva, Spain
Abstract :
This paper shows how interval arithmetic can be applied to the computation of control invariant sets. The paper reviews some concepts in invariant set theory and presents recursive algorithms to compute sequences of control invariant sets. These ideas can be used to design stable controllers subject to state and control constraints. To prove set inclusion and inversion, interval arithmetic is also used.
Keywords :
Aerospace electronics; Approximation algorithms; Approximation methods; Bismuth; Nonlinear systems; Set theory; Standards; constrained systems; intervals; invariant sets; nonlinear systems;
Conference_Titel :
European Control Conference (ECC), 2003
Conference_Location :
Cambridge, UK
Print_ISBN :
978-3-9524173-7-9
