Potential Game Based Distributed Control for Voronoi Coverage Problems with Obstacle Avoidance

Teraoka, Saori; Ushio, Toshimitsu; Kanazawa, Takafumi

doi:10.1587/transfun.e95.a.1156

Cited by 6 publications

(2 citation statements)

References 13 publications

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“…This step guarantees that the decision achieving social welfare maximization is a so-called Nash equilibrium. However, it is known that there can exist a lot of equilibria and some of them can be inefficient in the sense of the social welfare maximization [6]- [10]. To avoid such undesirable equilibria, the game theoretic cooperative control designs the agents' action selection policy, called learning algorithms.…”

Section: Introductionmentioning

confidence: 99%

Application of Irrational Decisions to Simple Experimentation to Guarantee Welfare Maximization

Wasa

Hatanaka

Fujita

2014

SICE Journal of Control, Measurement, and System Integration

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This paper investigates potential game theoretic cooperative control. In particular, it focuses on payoff-based learning for potential games with a potential function equal to the formulated social welfare function. One of the authors' previous works on the topic provided a conjecture that taking irrational decisions in the payoff-based learning process is essential in achieving the potential function maximization. To reinforce the conjecture, the authors refine an algorithm, called simple experimentation, and present a novel payoff-based learning algorithm with irrational decisions. Then, the maximization is rigorously proved. The effectiveness of the present algorithm is finally demonstrated through simulation.

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Section: Introductionmentioning

confidence: 99%

Application of Irrational Decisions to Simple Experimentation to Guarantee Welfare Maximization

Wasa

Hatanaka

Fujita

2014

SICE Journal of Control, Measurement, and System Integration

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“…The second goal of this paper is to solve the formulated problem in a distributed fashion. For this purpose, we employ game theoretic cooperative control techniques as in [9]- [13], since it provides a systematic design procedure to reach the total optima in a distributed fashion for heterogeneous networks like energy networks. In this paper, we first point out analogy of the formulated problem with resource allocation games [14].…”

Section: Introductionmentioning

confidence: 99%

Game Theoretic Receding Horizon Cooperative Network Formation for Distributed Microgrids: Variability Reduction of Photovoltaics

Wasa

Hatanaka

Fujita

et al. 2013

SICE Journal of Control, Measurement, and System Integration

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This paper investigates cooperative energy network formation for distributed autonomous microgrids based on receding horizon control and game theoretic cooperative control. In particular, we focus on photovoltaics and aim at minimizing its temporal and spatial variability while reducing transmission losses over the whole network by forming an appropriate network of power transmissions. We first formulate a novel optimal network formation problem in the form of resource allocation games so that the welfare function reflects the above objectives. Then, the problem is reduced to a potential game through an existing utility design technique. The paper next presents a variation of a learning algorithm presented in one of the authors' previous works and newly provide a proof of convergence in probability to potential function maximizers. Moreover, we consider real time implementation of the presented framework based on receding horizon control, where it is shown that the information processing of the learning algorithm is almost distributed with the helps of a solar radiation forecasting/estimation system. Finally, this paper illustrates the effectiveness of the present approach through simulation using real data of a solar radiation estimation system.

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Application of Artificial Potential Field for Coverage Control with Collision Avoidance Under Sensing Constraints

Cahyadi

Darmawan

Dewanto

et al. 2020

J Control Autom Electr Syst

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Potential Game Based Distributed Control for Voronoi Coverage Problems with Obstacle Avoidance

Cited by 6 publications

References 13 publications

Application of Irrational Decisions to Simple Experimentation to Guarantee Welfare Maximization

Application of Irrational Decisions to Simple Experimentation to Guarantee Welfare Maximization

Game Theoretic Receding Horizon Cooperative Network Formation for Distributed Microgrids: Variability Reduction of Photovoltaics

Application of Artificial Potential Field for Coverage Control with Collision Avoidance Under Sensing Constraints

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