The H2 Control Problem for Quadratically Invariant Systems with Delays

Andrew Lamperski; John C. Doyle

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arXiv · 1312.7724

The H2 Control Problem for Quadratically Invariant Systems with Delays

Andrew Lamperski·John C. Doyle

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Abstract

This paper 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.

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Andrew Lamperski, John C. Doyle. 2013-12-30. The H2 Control Problem for Quadratically Invariant Systems with Delays. https://arxiv.org/abs/1312.7724

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