Title :
Controlled safe sets for continuous time linear systems
Author :
Berardi, L. ; De Santis, E. ; Di Benedetto, M.D. ; Pola, G.
Author_Institution :
Dipt. di Ing. Elettr., Univ. of L´Aquila, L´Aquila, Italy
Abstract :
We propose to approximate the maximal controlled invariant set contained in a given constraint set for a continuous-time linear system with a controlled safe set, i.e. a set of initial states such that the evolution of the system fulfills the constraints. A procedure is given for the selection of a sampling time and a control law such that, starting from a controlled invariant set for the exponential discretization of the continuous-time system, a controlled safe set for the continuous-time system can be constructed.
Keywords :
approximation theory; continuous time systems; linear systems; set theory; continuous time linear systems; control law; controlled safe sets; exponential discretization; initial state set; maximal controlled invariant set; sampling time selection; system evolution; Control systems; Linear systems; controlled invariant sets; linear systems; safe sets;
Conference_Titel :
Control Conference (ECC), 2001 European
Conference_Location :
Porto
Print_ISBN :
978-3-9524173-6-2
