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Distributed Economic Control of Dynamically Coupled Networks.

Yang Lu, Minghui Zhu

IEEE Transactions on Cybernetics

|May 2, 2020

Summary

This summary is machine-generated.

This study introduces distributed economic control algorithms for regulating complex physical systems to a stable equilibrium. The algorithms ensure system convergence, verified through building temperature and power flow case studies.

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Area of Science:

Control Theory
Distributed Systems
Game Theory

Background:

Dynamically coupled physical systems require advanced control strategies.
Achieving variational equilibrium in constrained convex games is a complex challenge.

Purpose of the Study:

To synthesize novel distributed economic control algorithms.
To regulate dynamically coupled physical systems to a variational equilibrium of a constrained convex game.
To address both linear and nonlinear subsystem cases.

Main Methods:

Development of distributed economic control algorithms.
Lyapunov analysis for convergence guarantees.
Case studies for performance verification.

Main Results:

Algorithms successfully regulate systems to variational equilibrium.
Convergence is rigorously proven using Lyapunov analysis.
Demonstrated performance in multizone building temperature regulation and optimal power flow.

Conclusions:

The proposed distributed economic control algorithms are effective for complex systems.
Lyapunov analysis confirms the robustness and convergence of the algorithms.
The methods are applicable to diverse real-world problems like energy management and HVAC control.