在组机器人系统中定价游戏的非线性动力学和混乱控制
Chen Wang1,2, Yi Sun1,2, Ying Han1,2
1School of Communication and Information Engineering, Xi'an University of Science and Technology, Xi'an 710054, China.
Entropy (Basel, Switzerland)
|February 26, 2025
概括
这项研究通过提出一种新的控制策略,解决了团队机器人定价游戏中的混乱行为. 该方法增强了系统稳定性,并扩大了资源分配的均衡定价范围.
科学领域:
- 机器人技术 机器人技术 机器人技术
- 游戏理论 游戏理论
- 非线性动力学是一种非线性动力学.
背景情况:
- 资源分配中的系统稳定性对于组机器人系统至关重要.
- 参与定价游戏的有限理性群体机器人可以表现出非线性动态和混乱现象.
- 了解这些动态对于可靠的系统运行至关重要.
研究的目的:
- 研究群体机器人之间的资源分配定价游戏中的非线性动态和混乱行为.
- 提出有效的控制策略,以减轻混乱现象和确保系统稳定.
- 提高纳什平衡的稳定性,扩大平衡定价的参数范围.
主要方法:
- 基于市场机制映射,为集团机器人开发系统和商业模型.
- 使用游戏理论,制定了资源分配动态作为第二阶离散非线性系统.
- 采用数值模拟来分析参数扰动对系统动态的影响.
- 提出了一种结合状态反和参数调整 (控制参数M) 的控制方法.
主要成果:
- 确定小参数扰动 (定价调整速度,需求,替代系数) 可以引发混乱.
- 证明拟议的控制方法有效地延迟周期翻倍分叉并抑制混乱行为.
- 展示了混乱的吸引力内的不稳定的周期轨道的稳定.
- 确认纳什平衡稳定性的显著改善,并扩大了平衡定价的范围.
结论:
- 拟议的状态反和参数调整控制方法有效地管理团队机器人定价游戏中的混乱动态.
- 这种方法通过控制自身值和抑制分叉来确保系统的稳定性.
- 研究结果为设计稳定高效的群体机器人系统提供了理论基础和实际指导.
相关概念视频
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01:07Time-Domain Interpretation of PD Control
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