Title :
Inner approximations of domains of attraction for constrained continuous time linear systems
Author :
De Santis, Elena ; Di Benedeto, M.D. ; Pola, G.
Author_Institution :
Dipt. di Ingegneria Elettrica, L´´Aquila Univ., Italy
Abstract :
When asymptotically stabilizing a system under constraints, the objective is to find the maximal domain of attraction contained in the constraint set. In this paper, we show that if S is a domain of attraction for the exponential discretization of a continous-time system, S scaled by an appropriately defined factor is a domain of attraction for the continuous-time system and arbitrarily well approximates the maximal domain of attraction contained in the constraining set.
Keywords :
approximation theory; asymptotic stability; linear systems; asymptotic stability; attraction domains; constrained continuous time linear systems; constraint set; continous-time system; exponential discretization; inner approximations; Control systems; Linear systems; Sampling methods; Strain control; Time factors;
Conference_Titel :
American Control Conference, 2002. Proceedings of the 2002
Print_ISBN :
0-7803-7298-0
DOI :
10.1109/ACC.2002.1023185
