Distributed Control for Reaching Optimal Steady State in Network Systems: An Optimization Approach

In this paper, we consider the problem of distributed control for network systems aiming to achieve optimal steady-state performance. Motivated by recent research on reengineering cyber-physical systems, such as power systems and the Internet, we propose a two-step control retrofit procedure. First,...

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Bibliographic Details
Published inIEEE transactions on automatic control Vol. 63; no. 3; pp. 864 - 871
Main Authors Xuan Zhang, Papachristodoulou, Antonis, Na Li
Format Journal Article
LanguageEnglish
Published IEEE 01.03.2018
Subjects
Control retrofit
Decentralized control
distributed control
electric power systems
Frequency control
gradient algorithms
Heuristic algorithms
Optimization
Power system stability
reverse-engineering
Steady-state
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Summary:In this paper, we consider the problem of distributed control for network systems aiming to achieve optimal steady-state performance. Motivated by recent research on reengineering cyber-physical systems, such as power systems and the Internet, we propose a two-step control retrofit procedure. First, we reformulate the dynamical system as an optimization algorithm to solve a certain optimization problem. Second, we combine a predefined steady-state optimization problem and the reformulated problem to systematically (re)design the control. As a result, the system automatically tracks the optimal solution of the predefined steady-state optimization problem and the control scheme can be implemented in a distributed and closed-loop manner. In order to investigate how general this framework is, we establish necessary and sufficient conditions under which a linear dynamical system can be viewed as an optimization algorithm. These conditions are characterized using properties of system matrices and related linear matrix inequalities. A practical example of frequency control in power systems shows the effectiveness of the proposed framework.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2017.2737959