Cooperative Control and Potential Games

Marden, Jason R.; Arslan, Gürdal; Shamma, Jeff S.

doi:10.1109/tsmcb.2009.2017273

Cited by 476 publications

(323 citation statements)

References 28 publications

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“…However, there may also exist suboptimal pure Nash equilibrium that do not maximize the potential function [22]. Therefore, the key problem lies in how to design the mechanism to achieve the global optimization in a fully distributed way for the VSPs.…”

Section: Potential Gamementioning

confidence: 99%

Decentralized Optimization Algorithms for Variable Speed Pumps Operation Based on Local Interaction Game

Wang

Xing

Jiang

et al. 2018

Journal of Control Science and Engineering

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A fully distributed optimal control strategy for the parallel variable speed pumps in heating, ventilation, and air-conditioning (HVAC) systems is proposed. Compared with the traditional centralized method, the efficient control and coordination are scattered to every updated smart pump without the need for a monitoring host. Similar to the structure, mechanism, and characteristics of biological communities, a smart pump can communicate with adjacent nodes and operate collaboratively to complete pumps group operation with the least total power consumption under load demand and system constraints. And a decentralized optimization method that is decentralized estimation of distribution algorithm (DEDA) under local interaction games framework has been transplanted to the proposed structure to optimize the pumps working in parallel mode. Besides, convergence property of the two novel mechanisms is analyzed theoretically. Finally, simulation studies have been conducted based on the models of a physical pumps system, and the performance of the proposed algorithm is compared with centralized algorithms in terms of both effectiveness and stability. The results provide support for the validity of the proposed algorithms and control structure.

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Section: Potential Gamementioning

confidence: 99%

Decentralized Optimization Algorithms for Variable Speed Pumps Operation Based on Local Interaction Game

Wang

Xing

Jiang

et al. 2018

Journal of Control Science and Engineering

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“… A global objective function, i.e., the potential function, was established to capture the notion of consensus [8].…”

Section: B Alternative Scenario Selection For Flood Mitigation Optimmentioning

confidence: 99%

“…Therefore, if all players update their actions using the learning algorithm SAP with sufficiently large β, then the players will asymptotically reach a consensus with arbitrarily high probability [8].…”

Section: Advances In Computer Science Research Volume 58mentioning

confidence: 99%

“…. Our work was motivated by the idea "Consensus problem modeled as a potential game" in [8], some useful mathematical formulas were directly adopted, such as the SAP and potential games, but the potential and payoff function of the potential game were redesigned to align to the flood mitigation problem. There is a difference between the proposal and our approach.…”

Section: Figure IV the Flood Control Zone In The Upper-middlementioning

confidence: 99%

“…Nevertheless, it has been seen that, an alternative approach proposed and discussed in [8], namely the consensus problem used for cooperative control, which was perfectly solved by modelling the problem as a potential game with appropriately defined players' utilities. Motivated by this idea, we propose a novel technique, the alternative scenario selection game, for the flood mitigation optimization problem.…”

Section: Introductionmentioning

confidence: 99%

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Alternative Scenario Selection Games for Flood Mitigation Optimization

Zhang¹,

Zhang²,

Fang³

2016

Proceedings of 2016 International Conference on Modeling, Simulation and Optimization Technologies and Applications (MSOTA2016)

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Abstract-Simulation based decision making tools, such as simulation cloning, "what-if" analysis, and etc., has being a beneficial way to analyzing of multiple alternative scenarios, however, there is no guarantee that a simulator could obtain a feasible scenario meeting the flood mitigation requirements, let alone an optimal one. Motivated by J. R. Marden and his colleague's work "cooperative control and potential games", a novel technique, the alternative scenario selection game, was proposed in this paper to solve the flood mitigation optimization problem, in which the alternative scenario selection problem was modeled as a potential game with appropriately defined players' utilities. A SAP (Spatial Adaptive Play) based learning algorithm for the potential game with suboptimal Nash equilibria was introduced to help all players to converge to a consensus after finite iteration steps. Case study and performance evaluation shows that the proposed technique is feasible and stable, within a few iteration steps, all players could quickly reach the goal of the expected flood peak point.

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Multi‐Agent Coordination

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Cooperative Control and Potential Games

Cited by 476 publications

References 28 publications

Decentralized Optimization Algorithms for Variable Speed Pumps Operation Based on Local Interaction Game

Decentralized Optimization Algorithms for Variable Speed Pumps Operation Based on Local Interaction Game

Alternative Scenario Selection Games for Flood Mitigation Optimization

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