Paper Info
Title
Overlapping quadratic optimal control of linear time-varying commutative systems
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 means of 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. Several important large classes of complementary matrices are selected to offer computationally attractive results. The effectiveness of this generalized selection scheme is illustrated by a numerical example of overlapping decentralized control design.
Year
DOI
Venue
2002
10.1109/CDC.2002.1184988
Decision and Control, 2002, Proceedings of the 41st IEEE Conference
Keywords
Field
DocType
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,quadratic optimization
Mathematical optimization,Optimal control,Decentralised system,Commutative property,Linear-quadratic-Gaussian control,Matrix (mathematics),Generalization,Quadratic equation,Time complexity,Mathematics
Journal
Volume
Issue
ISSN
4
5
0191-2216
ISBN
Citations 
PageRank 
0-7803-7516-5
9
0.84
References 
Authors
0
3
Name
Order
Citations
PageRank
Lubomír Bakule190.84
José Rodellar210320.73
Josep M. Rossell390.84