NDLI: Distributed Extremum Seeking Control of networked large-scale systems under constraints

Content Provider	IEEE Xplore Digital Library
Author	Jin-Ming Xu Yeng Chai Soh
Copyright Year	2013
Description	Author affiliation: Sch. of Electr. & Electron. Eng., Nanyang Technol. Univ., Singapore, Singapore (Jin-Ming Xu; Yeng Chai Soh)
Abstract	We consider the distributed optimization problem of networked large-scale systems under specified constraints. In particular, we aim to optimize the steady-state performance of the system by making it (in a distributed manner) working at the optimal operation point. To solve the problem, a primal-dual method is employed to seek the optimal setpoint in conjunction with Extremum Seeking Control (ESC) which is utilized as a tool for efficient gradient estimation without knowing the specific form of the cost functions as well as the constraints of the system. The proposed overall scheme is termed as Distributed Extremum Seeking Control (D-ESC) as it is designed based on the ESC scheme and implemented in a distributed way. It will be shown, by resorting to singular perturbation and averaging theory as well as duality theory, that the overall networked large-scale system equipped with D-ESC is Semi-globally Practically Asymptotically Stable (SPAS) and thus will eventually converge to the neighborhood of the Pareto-optimal solution of the primal problem.
Sponsorship	IEEE Control Syst. Soc.
Starting Page	2187
Ending Page	2192
File Size	229248
Page Count	6
File Format	PDF
ISBN	9781467357142
ISSN	07431546
e-ISBN	9781467357173
DOI	10.1109/CDC.2013.6760206
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2013-12-10
Publisher Place	Italy
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Optimization Stability analysis Large-scale systems Estimation Convergence Steady-state Asymptotic stability
Content Type	Text
Resource Type	Article
Subject	Control and Optimization Control and Systems Engineering Modeling and Simulation

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