Design techniques for the control of discrete-time systems subject to state and control constraints

Author

Bitsoris, George ; Gravalou, Eliana

Author_Institution

Dept. of Electr. & Comput. Eng., Patras Univ., Greece

Volume

44

Issue

5

fYear

1999

fDate

5/1/1999 12:00:00 AM

Firstpage

1057

Lastpage

1061

Abstract

The regulation problem of linear discrete-time systems under state and control constraints is investigated. In the first part of the paper, necessary and sufficient conditions for the existence of a solution to the constrained regulation problem are established. The constructive form of the proof of this result also provides a method for the derivation of a control law transferring to the origin any state belonging to a given set of initial states, while respecting the state and control constraints. In the second part of the paper, design techniques are proposed in which the determination of the control law is reduced to simple linear programming problems

Keywords

control system synthesis; discrete time systems; linear programming; linear systems; stability; constrained regulation problem; control constraints; design techniques; linear discrete-time systems; necessary and sufficient conditions; state constraints; Control systems; Linear programming; Linear systems; Nonlinear control systems; Open loop systems; State-space methods; Sufficient conditions; Vectors;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.763228

Filename

763228