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Published July 2015 | Submitted
Journal Article Open

The ℋ_2 Control Problem for Quadratically Invariant Systems With Delays

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.

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