Title
Distributed Control for Reaching Optimal Steady State in Network Systems: An Optimization Approach.
Abstract
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
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 Zhang1516.25
Antonis Papachristodoulou299090.01
Na Li3652106.02