Inner approximations of domains of attraction for constrained continuous time linear systems

Proceedings of the American Control Conference - Tập 2 - Trang 1216-1221 vol.2 - 2002
E. De Santis1, M.D. Di Benedeto2,1, G. Pola1
1Dipartimento di Ingegneria Elettrica, University of L’ Aquila, L'Aquila, Italy
2Department of EECS, University of California, Berkeley, CA, U.S.A

Tóm tắt

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.

Từ khóa

#Time factors #Linear systems #Control systems #Strain control #Sampling methods

Tài liệu tham khảo

berardi, 0, Controlled safe sets for continuous time linear systems, European Control Conference Porto September 4-7 2001, 803 berardi, 0, Controller syntesis for hybrid systems: Structural procedure and approximations of robustly controlled invariant sets dorea, 1999, (A,B)-invariance conditions of polyhedral domains for continuous-time systems, European J of Control, 5, 70, 10.1016/S0947-3580(99)70141-X berardi, 2000, Invariant sets and control synthesis for switching systems with safety specifications, Hybrid Systems Computation and Control Lecture Notes in Computer Science, 1790, 59 10.1016/0167-6911(96)00013-8 10.1016/0005-1098(94)00133-4 10.1109/9.272351 berardi, 0, Approximations of maximal controlled invariant sets for constrained continuous-time systems dorea, 0, Computation of maximal admissible sets of constrained linear systems, Proc of 4th IEEE Med Symposium Krete 1996, 286 de santis, 0, Approximations of maximal domains of attraction for constrained continuous time linear systems 10.1109/TAC.1986.1104270 10.1109/TAC.1987.1104625