Distributed economic control of dynamically coupled networks

TL;DR

This paper develops distributed control algorithms for coupled physical systems to reach a variational equilibrium, applicable to linear and nonlinear subsystems, with proven convergence and demonstrated effectiveness through case studies.

Contribution

It introduces novel distributed economic control algorithms for coupled systems, with convergence guarantees for both linear and nonlinear cases, and validates them via practical case studies.

Findings

Algorithms converge to variational equilibrium.

Effective regulation in building temperature and power flow.

Validated through case studies demonstrating practical applicability.

Abstract

This paper investigates the synthesis of distributed economic control algorithms under which dynamically coupled physical systems are regulated to a variational equilibrium of a constrained convex game. We study two complementary cases: (i) each subsystem is linear and controllable; and (ii) each subsystem is nonlinear and in the strict-feedback form. The convergence of the proposed algorithms is guaranteed using Lyapunov analysis. Their performance is verified by two case studies on a multi-zone building temperature regulation problem and an optimal power flow problem, respectively.