Structure Preserving H-infinity Optimal PI Control

2016/12/22 by Anders Rantzer, Rantzer, Anders, Carolina Lidström +3
Engineering · Mathematics · #Stability and Control of Uncertain Systems #Stability and Controllability of Differential Equations #Numerical methods for differential equations

paper · pdf · doi:10.48550/arxiv.1612.07824

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.

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