DocumentCode :
3527613
Title :
Distributed Extremum Seeking Control of networked large-scale systems under constraints
Author :
Jin-Ming Xu ; Yeng Chai Soh
Author_Institution :
Sch. of Electr. & Electron. Eng., Nanyang Technol. Univ., Singapore, Singapore
fYear :
2013
fDate :
10-13 Dec. 2013
Firstpage :
2187
Lastpage :
2192
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.
Keywords :
Pareto analysis; asymptotic stability; distributed parameter systems; duality (mathematics); large-scale systems; networked control systems; optimal control; optimisation; perturbation techniques; D-ESC; Pareto-optimal solution; SPAS; cost functions; distributed extremum seeking control; distributed optimization problem; duality theory; gradient estimation; networked large-scale systems; optimal operation point; optimal setpoint; primal-dual method; semi-globally practically asymptotically stable; singular perturbation; steady-state performance; Asymptotic stability; Convergence; Estimation; Large-scale systems; Optimization; Stability analysis; Steady-state;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Decision and Control (CDC), 2013 IEEE 52nd Annual Conference on
Conference_Location :
Firenze
ISSN :
0743-1546
Print_ISBN :
978-1-4673-5714-2
Type :
conf
DOI :
10.1109/CDC.2013.6760206
Filename :
6760206
Link To Document :
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