Title :
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
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;
Conference_Titel :
Decision and Control, 2002, Proceedings of the 41st IEEE Conference on
Print_ISBN :
0-7803-7516-5
DOI :
10.1109/CDC.2002.1184988
