复合开关系统的几乎确定的稳定性和稳定性,具有持久的停留时间限制
IEEE transactions on cybernetics
|September 12, 2024
概括
本研究介绍了连续时间复合开关系统 (CSS) 的新双开关机制,增强了指数式几乎确定的 (EAS) 稳定性. 这种新的方法在复杂的切换条件下确保了系统稳定性,提供了更一般,更不保守的结果.
科学领域:
- 控制系统工程 控制系统工程
- 动态系统理论 动态系统理论
- 随机系统 随机系统 随机系统
背景情况:
- 复合开关系统 (CSS) 由于复杂的开关行为,在稳定性分析中存在挑战.
- 确保指数式几乎确定的 (EAS) 稳定性对于可靠的系统性能至关重要.
- 现有的方法往往缺乏一般性或过于保守.
研究的目的:
- 开发一种新的双开关机制,以实现EAS在CSS中的稳定性和稳定性.
- 在结合的持久停留时间 (PDT) 和马尔科夫过程切换下建立足够的EAS稳定条件.
- 为CSS提供一个更普遍,更不保守的稳定性分析框架.
主要方法:
- 开发一个双开关机制,整合持久停留时间 (PDT) 和马尔科夫过程.
- 在PDT约束下建立参数之间的相互关系,以管理切换频率.
- 根据设计的切换策略,根据EAS稳定性和稳定性的足够条件的推导.
主要成果:
- 建立了足够的条件来实现指数式几乎确定的 (EAS) 稳定性和CSS的稳定.
- 拟议的双开关机制确保开关频率在PDT约束下保持在允许的范围内.
- 开发的理论结果被证明是比以前的工作更普遍,不那么保守.
结论:
- 新的双开关机制有效地保证了EAS的稳定性和CSS的稳定性.
- 已建立的条件为CSS稳定性分析提供了一种不那么保守而更广泛的方法.
- 通过三个说明性示例验证了这些发现,证实了理论上的进展.
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