对于具有领先跟随切换拓的群体系统,最优的跟踪共识是领导者跟随切换拓
Qian Zhang1, Cheng Wang2, Miao Zhao2,3
1Shaanxi Police College, Xi'an, 710021, People's Republic of China. zhangqian04010705@163.com.
Scientific reports
|October 21, 2025
概括
这项研究引入了领导者追随群体系统的新策略,以实现最佳跟踪共识. 该方法平衡了跟踪性能和控制能量,确保了高效的系统运行,尽管网络结构发生了变化.
科学领域:
- 机器人和控制系统 机器人和控制系统
- 分布式系统和群体情报
- 优化理论 优化理论
背景情况:
- 带有领导者遵循拓的群体系统在实现最佳跟踪共识方面面临挑战.
- 现有的策略可能无法有效地平衡跟踪性能与控制能源消耗.
- 网络拓学的动态变化 (交换拓) 复杂化了达成共识的过程.
研究的目的:
- 开发一种新的跟踪策略,以在转换拓的群体系统中获得最佳的跟踪共识.
- 引入一个优化指数,平衡跟踪性能和控制能量.
- 建立实现最佳跟踪共识的条件,并分析系统约束.
主要方法:
- 一个新的跟踪策略,包括一个优化指数 (跟踪性能和控制能量术语).
- 引入局部相互作用矩阵和双非单一转换.
- 导出足够的条件以获得最佳跟踪共识,并分析拓切换约束.
主要成果:
- 建立了足够的条件,以实现最佳的跟踪共识.
- 确定了拓切换和控制参数之间的约束关系.
- 导出了最小优化指数值的明确表达式,仅取决于初始条件.
结论:
- 拟议的策略有效地实现了在具有切换拓的领先追随群体系统中实现最佳跟踪共识.
- 优化指数提供了性能和能源效率之间的可量化的平衡.
- 这些发现为设计动态群体环境中的控制策略提供了强大的框架.
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