事件触发的冲动控制用于延迟冲动的非线性时间延迟系统的输入到状态稳定性
1School of Mathematics and Statistics, Hubei Normal University, Huangshi 435002, China.
Mathematical biosciences and engineering : MBE
|April 29, 2025
概括
本研究涉及使用事件触发式冲动控制 (ETIC) 冲动的非线性时间延迟系统的输入到状态稳定性 (ISS). 新的方法确保了稳定性,并避免了复杂系统中的Zeno行为.
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.
- 系统理论系统理论
背景情况:
- 输入到状态稳定性 (ISS) 对于强大的控制系统至关重要.
- 带有冲动的非线性时间延迟系统带来了重大的控制挑战.
- 现有的控制方法经常与灵活的延迟和外部干扰作斗争.
研究的目的:
- 调查推迟脉冲的非线性时间延迟系统的输入到状态稳定性 (ISS).
- 开发一个事件触发的冲动控制 (ETIC) 策略,避免Zeno行为.
- 在这些复杂的系统中提出足够的条件来实现ISS.
主要方法:
- 使用系统状态和干扰信息开发事件触发机制 (ETM).
- 引入强制冲动序列以提高可行性并避免Zeno行为.
- 应用Lyapunov-Razumikhin类方法来推导国际空间站条件.
- 用线性矩阵不等式 (LMI) 来设计ETM和控制收益.
主要成果:
- 制定了在推迟脉冲的非线性时间延迟系统中实现ISS的足够条件.
- 提出了一种新的ETIC方法,有效地管理灵活的延迟和独特的外部投入.
- 拟议的ETM和控制设计通过两个数值示例进行了验证.
结论:
- 该研究成功地确定了ETIC下的非线性时间延迟系统中ISS的条件.
- 开发的方法为控制有延迟冲动和干扰的系统提供了强大的框架.
- 这些发现有助于推进复杂动态系统的稳定性分析和控制设计.
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