Title :
Admissible polyhedra for discrete-time linear systems with saturating controls
Author :
Tarbouriech, S. ; Da Silva, J. M Gomes, Jr.
Author_Institution :
Lab. d´´Autom. et d´´Anal. des Syst., CNRS, Toulouse, France
Abstract :
Polyhedral domains of asymptotic stability and nonlinear behavior for discrete-time linear system subject to input saturation are studied. From a polytopic representation of the saturated system, conditions to positive invariance, contractivity and asymptotic stability inside polyhedral sets are formulated. A methodology based on linear programming schemes is thus proposed to determine such domains
Keywords :
asymptotic stability; control nonlinearities; discrete time systems; linear programming; linear systems; stability criteria; LP; admissible polyhedra; asymptotic stability; contractivity; discrete-time linear systems; linear programming; nonlinear behavior; polyhedral domains; polytopic representation; positive invariance; saturating controls; Asymptotic stability; Control systems; Integrated circuit modeling; Linear programming; Linear systems; Nonlinear control systems; Null space; Open loop systems; Vectors;
Conference_Titel :
American Control Conference, 1997. Proceedings of the 1997
Conference_Location :
Albuquerque, NM
Print_ISBN :
0-7803-3832-4
DOI :
10.1109/ACC.1997.609621
