Title | ||
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Distributed Control for Reaching Optimal Steady State in Network Systems: An Optimization Approach. |
Abstract | ||
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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. |
Year | DOI | Venue |
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2018 | 10.1109/TAC.2017.2737959 | IEEE Trans. Automat. Contr. |
Keywords | Field | DocType |
Optimization,Steady-state,Decentralized control,Power system stability,Heuristic algorithms,Frequency control | Linear dynamical system,Mathematical optimization,Decentralised system,Optimal control,Linear-quadratic-Gaussian control,Computer science,Matrix (mathematics),Control theory,Electric power system,Optimization problem,Dynamical system | Journal |
Volume | Issue | ISSN |
63 | 3 | 0018-9286 |
Citations | PageRank | References |
3 | 0.43 | 0 |
Authors | ||
3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Xuan Zhang | 1 | 51 | 6.25 |
Antonis Papachristodoulou | 2 | 990 | 90.01 |
Na Li | 3 | 652 | 106.02 |