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

Volume

2

fYear

1999

fDate

1999

Firstpage

2039

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1999. Proceedings of the 38th IEEE Conference on

Conference_Location

Phoenix, AZ

ISSN

0191-2216

Print_ISBN

0-7803-5250-5

Type

conf

DOI

10.1109/CDC.1999.830939

Filename

830939