Title :
Local stabilization of discrete-time linear systems with saturating controls: an LMI-based approach
Author :
Da Silva, J. M Gomes, Jr. ; Tarbouriech, S.
Author_Institution :
Dept. of Electr. Eng., Univ. Federal do Rio Grande do Sul, Porto Alegre, Brazil
fDate :
1/1/2001 12:00:00 AM
Abstract :
Deals with the problem of local stabilization of linear discrete-time systems subject to control saturation. A linear matrix inequalities-based framework is proposed in order to compute a saturating state feedback that stabilizes the system with respect to a given set of admissible initial states and, in addition, guarantees some dynamical performances when the system operates in the zone of linear behavior (i.e., when the controls are not saturated)
Keywords :
control nonlinearities; discrete time systems; linear systems; matrix algebra; stability; state feedback; control saturation; discrete-time linear systems; dynamical performances; linear behavior; linear matrix inequalities-based framework; local stabilization; saturating controls; saturating state feedback; Control systems; Limit-cycles; Linear feedback control systems; Linear matrix inequalities; Linear systems; Open loop systems; Stability; State feedback; State-space methods; Time domain analysis;
Journal_Title :
Automatic Control, IEEE Transactions on