在随机扰动下暂时混乱系统的离散时间部分控制
1University of Memphis,, Department of Mechanical Engineering, Tennessee 38152, USA.
Physical review. E
|February 7, 2025
概括
这项研究展示了一种离散的部分控制方法,以保持混乱的系统响应在所需区域内,即使是白噪声. 在特定时间间隔应用的局限控制输入有效地管理系统行为.
科学领域:
- 非线性动力学是一种非线性动力学.
- 混沌理论 混沌理论
- 控制系统工程 控制系统工程
背景情况:
- 随机扰动可以导致非线性系统进入各种状态,包括混乱状态.
- 控制像Duffing振荡器这样的系统中的混乱行为对于可预测的结果至关重要.
- 暂时的混乱和不必要的系统反应需要有效的限制策略.
研究的目的:
- 开发和评估一个离散的部分控制方案,以限制一个强制的Duffing振荡器在一个混乱的吸引器中的轨迹.
- 评估在离散时间瞬间使用最小限度的控制输入的可行性.
- 为了确定必要的控制输入大小,以有效地限制在白噪声下的响应.
主要方法:
- 一个离散的部分控制方案被构建为一个被强迫的杜芬振荡器受到白噪声.
- 系统的响应轨迹在最小限度的控制输入的影响下被分析,这些控制输入应用于离散的时间瞬间.
- 控制输入间隔有所变化,与系统的强制期不同.
主要成果:
- 离散的部分控制方案有效地将系统的响应轨迹限制在混乱的吸引器内.
- 在离散的时间瞬间应用的相对较小的大小控制输入证明足以限制响应.
- 选择离散的时间步骤被认为是保持在所需区域内的轨迹至关重要的.
结论:
- 在离散的时间瞬间限制控制输入对于管理混乱的系统响应是可行的.
- 拟议的控制方案是有效的,其制定是独立于系统维度的.
- 对于在非线性系统中成功地限制轨迹,控制应用的精心定时是必不可少的.
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