DocumentCode
4196
Title
The 
Control Problem for Quadratically Invariant Systems With Delays
Author
Lamperski, Andrew ; Doyle, John C.
Author_Institution
Dept. of Electr. & Comput. Eng., Univ. of Minnesota, Minneapolis, MN, USA
Volume
60
Issue
7
fYear
2015
fDate
Jul-15
Firstpage
1945
Lastpage
1950
Abstract
This technical note gives a new solution to the output feedback H2 problem for quadratically invariant communication delay patterns. A characterization of all stabilizing controllers satisfying the delay constraints is given and the decentralized H2 problem is cast as a convex model matching problem. The main result shows that the model matching problem can be reduced to a finite-dimensional quadratic program. A recursive state-space method for computing the optimal controller based on vectorization is given.
Keywords
H∞ control; delay systems; invariance; multidimensional systems; quadratic programming; stability; convex model matching problem; decentralized H2 control problem; delay constraint; finite-dimensional quadratic program; optimal controller; output feedback; quadratically invariant communication delay pattern; recursive state-space method; stabilizing controller; vectorization; Computational modeling; Delays; Dynamic programming; Finite impulse response filters; Matrix decomposition; Optimal control; Regulators; Decentralized control; optimal control; quadratic invariance;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.2014.2363917
Filename
6930762
Link To Document