Published July 2015
| Submitted
Journal Article
Open
The ℋ_2 Control Problem for Quadratically Invariant Systems With Delays
- Creators
- Lamperski, Andrew
-
Doyle, John C.
Chicago
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Abstract
This technical note gives a new solution to the output feedback ℋ_2 problem for quadratically invariant communication delay patterns. A characterization of all stabilizing controllers satisfying the delay constraints is given and the decentralized ℋ_2 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.
Additional Information
© 2014 IEEE. Manuscript received November 30, 2013; revised July 18, 2014 and July 19, 2014; accepted October 7, 2014. Date of publication October 20, 2014; date of current version June 24, 2015. This work was supported by a Whitaker International Postdoctoral Scholarship. Recommended by Associate Editor J. H. Braslavsky. The authors wish to thank N. Matni, M. Rotkowitz, and L. Lessard for helpful discussions.Attached Files
Submitted - 1312.7724.pdf
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Additional details
- Alternative title
- The H2 Control Problem for Quadratically Invariant Systems With Delays
- Eprint ID
- 58908
- Resolver ID
- CaltechAUTHORS:20150716-123217938
- Whitaker International Postdoctoral Scholarship
- Created
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2015-07-22Created from EPrint's datestamp field
- Updated
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2021-11-10Created from EPrint's last_modified field