异步交换非线性中性时间延迟系统的新稳定性标准
IEEE transactions on cybernetics
|August 2, 2024
概括
本研究提出了交换非线性中性系统的稳定性的新标准,具有时间延迟和异步切换. 这些发现为这些复杂的系统提供了不那么保守的结果.
科学领域:
- 控制理论 控制理论
- 非线性系统分析 非线性系统分析
- 系统工程 系统工程
背景情况:
- 交换非线性中性系统 (SNNS) 在各种工程应用中普遍存在.
- 这些系统经常表现出多个时间变化延迟 (MTVD) 和异步切换,使稳定性分析复杂化.
- 对于这些复杂的系统,现有的稳定性标准可能过于保守.
研究的目的:
- 对具有MTVD和异步切换的SNNS进行输入到状态稳定性 (ISS) 和整体输入到状态稳定性 (iISS) 的研究.
- 开发新的稳定性标准,这些标准不如现有方法那么保守.
- 分析切换,中性术语,时间延迟和异步行为对系统稳定性的综合影响.
主要方法:
- 使用多个Lyapunov-Krasovskii函数来分析稳定性.
- 使用合并开关信号方法.
- 应用模式依赖平均停留时间 (MDADT) 技术来处理异步切换.
- 开发针对SNNSs复杂性的新稳定性标准.
主要成果:
- 在具有MTVD和异步切换的SNNS中,为ISS和iISS在SNNS中获得了新的稳定性标准.
- 与现有方法相比,提出的标准被证明是不那么保守的.
- 该分析有效地解决了系统交换机,中性条款,时间延迟和异步切换之间的相互作用.
结论:
- 开发的稳定性标准为具有MTVD和异步切换的SNNS提供了更准确的评估.
- 该方法提供了一种不那么保守的方法,提高了稳定性分析对这些系统的实际适用性.
- 拟议方法的有效性通过实践实例得到验证,包括一个合质量弹阻尼器吊系统.
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