Optimal and robust controllers for periodic and multirate systems

Author

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

Author_Institution

Lab. of Inf. & Decision Syst., MIT, Cambridge, MA, USA

Volume

37

Issue

1

fYear

1992

fDate

1/1/1992 12:00:00 AM

Firstpage

90

Lastpage

99

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 assures the causality of the resulting periodic controller. By the duality theory, the problem is shown to be equivalent to a linear programming problem, which is no harder than the standard l¹ problem. Also, it is shown that the method of solution presented applies exactly to the problem of disturbance rejection in the case of multirate sampled data systems. Finally, the results are applied to the problem of robust stabilization of periodic and multirate systems

Keywords

discrete time systems; linear systems; optimal control; optimisation; sampled data systems; stability; disturbance rejection; duality; linear discrete-time periodic systems; multirate sampled data systems; robust controllers; stability; Constraint optimization; Control systems; Helium; Linear programming; NASA; Optimal control; Robust control; Robustness; Sampled data systems; Time varying systems;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.109641

Filename

109641