On Closed-form H-infinity Optimal Control and Large-scale Systems

TL;DR

This paper presents a simple closed-form solution for H-infinity optimal control applicable to large-scale systems, enabling explicit control laws and performance metrics suitable for distributed implementation.

Contribution

It introduces a class of large-scale systems with explicit H-infinity control solutions, facilitating distributed control design and analysis.

Findings

Explicit control law and performance value derived

Applicable to large-scale systems like building temperature and transport networks

Control structure suitable for distributed implementation

Abstract

We address a class of systems for which the solution to an H-infinity optimal control problem can be given on a very simple closed form. In fact, both the control law and optimal performance value are explicitly given. The class of systems include models for large-scale systems such as temperature dynamics in buildings, buffer networks and transportations systems. Furthermore, the structure of the control law is suitable for distributed control of such large-scale systems, which is illustrated through examples.