事件触发的实用有限时间分布式优化,用于基于边缘的噪音的网络多代理系统
IEEE transactions on cybernetics
|January 6, 2026
概括
本研究介绍了一种强大的分布式优化算法,用于面临测量噪声的联网多代理系统. 这种新的方法确保了更快的,有限时间的融合,以获得最佳的解决方案,提高系统的效率.
科学领域:
- 控制系统工程 控制系统工程
- 网络化多代理系统 网络化多代理系统
- 优化理论 优化理论
背景情况:
- 分布式优化问题 (DOP) 对网络多代理系统 (NMAS) 至关重要.
- 现有的方法经常与时间变化的参数和测量噪声作斗争.
- 在NMAS的稳定性和效率仍然是关键的挑战.
研究的目的:
- 开发一个强大的分布式优化算法 (DOA) 用于时间变化的NMAS在指向图上.
- 为了解决基于边缘的附加测量噪声 (EBAMN) 的影响.
- 提高融合率和沟通效率.
主要方法:
- 建立一个有限时间的随机稳定性框架.
- 开发一种新的连续时间DOA,具有共识获取函数,状态依赖获取和积分梯度信息.
- 伊托定理和利亚普诺夫理论的应用在趋同分析中.
- 整合一个自适应动态事件触发机制 (ETM).
主要成果:
- 全球随机实用有限时间吸引力的起源被证明.
- 保证了第 p 个时刻的趋同和实际的有限时间共识.
- 尽管存在EBAMN,但NMAS状态的融合与时间变化的最佳解决方案.
- 通过自适应式ETM显著提高通信效率和减少资源,防止Zeno行为.
结论:
- 提出的强大的连续时间DOA有效地处理时间变化的DOP在NMAS与EBAMN.
- 适应式ETM显著提高了通信效率和资源管理.
- 使用多个无人机目标跟踪的数值模拟验证了算法的稳定性和性能.
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