为网络化欧勒-拉格朗系统在规定的时间内实现凸面优化:一种新的适应分布式方法,使用小利条件
IEEE transactions on cybernetics
|October 2, 2025
概括
本研究介绍了适应控制器,用于在网络化的欧勒-拉格朗日系统中进行规定的时间分布式凸优化. 它确保了复杂的网络优化问题比现有方法更快的融合.
科学领域:
- 控制系统工程 控制系统工程
- 网络化系统 网络化系统
- 优化理论 优化理论
背景情况:
- 网络欧勒-拉格朗日系统 (NELS) 在分布式优化方面存在挑战.
- 现有的方法通常依赖于非对称或有限时间的融合,这可能是不够的.
- 分布凸优化 (DCO) 对于NELS中的协调控制至关重要.
研究的目的:
- 为了解决NELSs的规定的时间分布凸优化 (DCO) 问题.
- 开发新的自适应控制器,在特定的时间框架内实现融合.
- 为了提高系统性能,超出传统的非对称或有限时间稳定.
主要方法:
- 使用局部梯度信息和代理间通信的辅助系统的构建.
- 重构DCO问题作为一个规定的时间稳定任务.
- 系统分析的规定的时间小收益标准的开发.
- 适应性定时局部跟踪控制器的设计,具有时间变化的增益.
- 应用利亚普诺夫函数和规定的时间映射用于稳定性分析.
主要成果:
- 为相互连接的系统提出了一种新的规定的时间小增益标准.
- 适应性定时局部跟踪控制器是为NELS子系统设计的.
- 规定的时间收是通过在截止日期接近无限的时间变化的收益来实现的.
- 已证明闭环系统的规定的时间稳定性和内部信号的局限性.
- 理论结果通过数值示例来验证.
结论:
- 拟议的方法有效地解决了NELSs的规定时间DCO问题.
- 新的小增益标准为相互连接的系统提供了增强的稳定性分析.
- 适应式控制器为实现网络优化中的快速融合提供了强大的解决方案.
- 这项工作推进了对需要及时优化结果的系统的控制策略.
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