Study of linear time-varying discrete-time systems in terms of time-compressed models

Author

Kamen, Edward W.

Author_Institution

Sch. of Electr. Eng., Georgia Inst. of Technol., Atlanta, GA, USA

fYear

1992

fDate

1992

Firstpage

3070

Abstract

An approach to linear time-varying discrete-time systems is developed in terms of a time-compressed model generated from a standard state-space representation. It is shown that control is easier to carry out in the time-compressed framework. This is illustrated by considering a one-step approach to stabilizability, deadbeat control, and optimal control in the time-compressed setup, and then `reflecting´ the resulting controller constructions back to the original time scale. It is shown that the time-compressed framework leads to a necessary and sufficient condition for uniform stabilizability of a linear time-varying system

Keywords

discrete time systems; linear systems; optimal control; stability; state-space methods; time-varying systems; deadbeat control; discrete-time systems; linear time-varying system; necessary condition; optimal control; stabilizability; state-space; sufficient condition; time-compressed models; Contracts; Control systems; Equations; Observability; Optimal control; Standards development; Sufficient conditions; Time varying systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1992., Proceedings of the 31st IEEE Conference on

Conference_Location

Tucson, AZ

Print_ISBN

0-7803-0872-7

Type

conf

DOI

10.1109/CDC.1992.371053

Filename

371053