English

Structure Preserving H-infinity Optimal PI Control

Optimization and Control 2016-12-26 v1

Abstract

A multi-variable PI (proportional integrating) controller is proved to be optimal for an important class of control problems where performance is specified in terms of frequency weighted H-infinity norms. The problem class includes networked systems with a subsystem in each node and control action along each edge. For such systems, the optimal PI controller is decentralized in the sense that control action along a given network edge is entirely determined by states at nodes connected by that edge.

Keywords

Cite

@article{arxiv.1612.07824,
  title  = {Structure Preserving H-infinity Optimal PI Control},
  author = {Anders Rantzer and Carolina Lidstrom and Richard Pates},
  journal= {arXiv preprint arXiv:1612.07824},
  year   = {2016}
}
R2 v1 2026-06-22T17:32:56.948Z