Title :
Contractive polyhedra for discrete-time linear systems with saturating controls
Author :
Milani, Basilio E A
Author_Institution :
Fac. de Engenharia Eletrica e de Comput., Univ. Estadual de Campinas, Sao Paulo, Brazil
Abstract :
This paper presents new necessary and sufficient linear programming conditions for convex closed polyhedra to be λ-contractive with respect to discrete-time linear systems with saturating feedback control inputs. Based on linear programming formulation of these conditions, an effective procedure is proposed for construction of λ-contractive polyhedra with nonempty intersection with the region of nonlinear behavior of the closed-loop system. The procedure starts with the supremal λ-contractive polyhedron contained in the region of linear behavior and progressively expands it over the region of nonlinear behavior
Keywords :
discrete time systems; linear programming; linear systems; stability; state feedback; λ-contractive polyhedra; autonomous discrete-time dynamical system; closed-loop system; contractive polyhedra; convex closed polyhedra; discrete-time linear systems; feedback control; linear programming; necessary and sufficient conditions; saturating controls; Control systems; Erbium; Feedback control; Linear feedback control systems; Linear programming; Linear systems; Nonlinear control systems; Piecewise linear techniques; State-space methods; Strain control;
Conference_Titel :
Decision and Control, 1999. Proceedings of the 38th IEEE Conference on
Conference_Location :
Phoenix, AZ
Print_ISBN :
0-7803-5250-5
DOI :
10.1109/CDC.1999.830939
