The H2 Control Problem for Quadratically Invariant Systems with Delays

Andrew Lamperski; John C. Doyle

The H2 Control Problem for Quadratically Invariant Systems with Delays

Systems and Control 2014-10-09 v3 Optimization and Control

Authors: Andrew Lamperski , John C. Doyle

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.

Keywords

optimal control control theory

Cite

@article{arxiv.1312.7724,
  title  = {The H2 Control Problem for Quadratically Invariant Systems with Delays},
  author = {Andrew Lamperski and John C. Doyle},
  journal= {arXiv preprint arXiv:1312.7724},
  year   = {2014}
}