Optimal rejection of bounded persistent disturbances in periodic systems

Author

Dahleh, Munther A. ; Voulgaris, Petros G. ; Valavani, Lena S.

Author_Institution

Dept. of Electr. Eng. & Comput. Sci., MIT, Cambridge, MA, USA

fYear

1990

fDate

5-7 Dec 1990

Firstpage

2300

Abstract

The problem of optimal rejection of bounded persistent disturbances is solved in the case of linear discrete-time periodic systems. The solution consists of solving an equivalent time-invariant standard l¹ optimization problem subject to an additional constraint. This constraint ensures the causality of the resulting periodic controller. By duality theory, the problem is shown to be equivalent to a linear programming problem, which is no harder than the standard l¹ problem

Keywords

discrete time systems; duality (mathematics); linear programming; linear systems; optimal control; optimisation; time-varying systems; bounded persistent disturbances; causality; duality theory; linear discrete-time periodic systems; linear programming; optimal control; optimal disturbance rejection; resulting periodic controller; time varying systems; time-invariant standard l¹ optimization problem; Constraint optimization; Control systems; Discrete transforms; Linear programming; Optimal control; Robustness; Space technology; Time invariant systems; Time varying systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1990., Proceedings of the 29th IEEE Conference on

Conference_Location

Honolulu, HI

Type

conf

DOI

10.1109/CDC.1990.204034

Filename

204034