On Optimal Distributed Output-Feedback Control over Acyclic Graphs

TL;DR

This paper investigates the design of optimal distributed output-feedback controllers for interconnected linear systems arranged in acyclic graphs, revealing that the optimal solution involves solving a set of Riccati equations.

Contribution

It introduces a novel approach to derive optimal distributed output-feedback controllers using a combination of uncoupled and coupled Riccati equations for acyclic graph-structured systems.

Findings

Optimal control solutions can be obtained from Riccati equations.

The approach applies to interconnected systems with acyclic graph topology.

The method simplifies the design of distributed controllers.

Abstract

In this paper, we consider the problem of distributed optimal control of linear dynamical systems with a quadratic cost criterion. We study the case of output feedback control for two interconnected dynamical systems, and show that the linear optimal solution can be obtained from a combination of two uncoupled Riccati equations and two coupled Riccati equations.