对于非线性系统的自动触发规定的时间冲动控制
IEEE transactions on cybernetics
|November 25, 2025
概括
本研究介绍了非线性系统的自触发冲动控制 (STIC),确保在设定的时间内保持稳定. 这种新的方法使用可指定的控制强度和非Zeno自动触发机制来保证性能.
科学领域:
- 控制系统工程 控制系统工程
- 非线性动力学是一种非线性动力学.
- 应用数学 应用数学 应用数学
背景情况:
- 冲动控制策略对于稳定非线性系统至关重要.
- 现有的方法往往缺乏精确的时间稳定性保证.
- 规定的时间稳定性 (PTS) 提供了对系统收时间的增强控制.
研究的目的:
- 设计一种新的自触发冲动控制 (STIC) 方案,用于在非线性系统中实现规定的时间稳定性 (PTS).
- 开发一种方法来确定冲动控制强度和间隔,使用规定的时间收函数.
- 在非Zeno自动触发机制 (STM) 下实现STIC,具有有限的执行时间.
主要方法:
- 使用规定的时间收函数来计算冲动控制强度和间隔.
- 使用非Zeno自动触发机制 (STM),确保有界的执行时间.
- 一个比较系统确定了冲动控制的触发时间.
- 冲动间隔的上界影响控制强度和STM.
主要成果:
- 拟议的STIC计划保证了闭环系统的规定的时间稳定性.
- 冲动控制强度随着系统接近规定的时间而降低.
- STM 确保了有界的执行时间,避免了 Zeno 的行为.
- 该方法被成功应用,以实现反应扩散神经网络 (RDNNs) 的规定的时间同步.
结论:
- 开发的STIC方案有效地实现了非线性系统的PTS.
- 集成STM与可设计的冲动强度提供了一个强大的控制解决方案.
- 通过对RDNN和数值模拟的应用来验证这些发现,证明其实际可用性.
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