Overlapping quadratic optimal control of linear time-varying commutative systems

Author

Bakule, Lubomír ; Rodellar, José ; Rossell, Josep M.

Author_Institution

Inst. of Inf. Theor. & Autom., Acad. of Sci. of the Czech Republic, Prague, Czech Republic

Volume

4

fYear

2002

fDate

10-13 Dec. 2002

Firstpage

3976

Abstract

Overlapping quadratic optimal control of linear time-invariant continuous-time systems by using generalized selection of complementary matrices has been recently developed as a powerful and effective mean for decentralized control design of linear time-invariant systems. In this paper, it is shown that similar generalizations exist for linear time-varying systems. The results presented here concern implicit conditions for a general form of the transition matrices and explicit conditions for a commutative class of linear time-varying systems.

Keywords

linear quadratic control; linear systems; matrix algebra; optimal control; time-varying systems; commutative system; complementary matrices; control design; explicit conditions; generalisation; implicit conditions; linear time varying systems; quadratic optimal control; transition matrices; Automation; Centralized control; Control design; Control systems; Costs; Distributed control; Information theory; Mathematics; Optimal control; Time varying systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2002, Proceedings of the 41st IEEE Conference on

ISSN

0191-2216

Print_ISBN

0-7803-7516-5

Type

conf

DOI

10.1109/CDC.2002.1184988

Filename

1184988