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 :
