通过事件触发策略来分析有限时间稳定性和稳定交换相关系统
IEEE transactions on cybernetics
|July 8, 2024
概括
本研究引入了用于交换亲系系统的新型两步混合控制方案,通过事件触发机制 (ETM) 解决有限时间控制挑战. 该方法确保了实用的稳定性和有限时间稳定性,同时避免了Zeno行为.
科学领域:
- 控制理论 控制理论
- 系统工程 系统工程
- 应用数学 应用数学 应用数学
背景情况:
- 交换同源系统的有限时间控制由于同源术语而带来了重大分析挑战.
- 在有限时间控制框架内设计全球可行的事件触发机制 (ETM) 是复杂的.
- 现有的方法很难有效地管理亲属动态和事件触发控制之间的相互作用.
研究的目的:
- 开发一个强大的有限时间控制策略,用于交换的亲系系统,使用事件触发的方法.
- 设计一个两步混合控制方案,确保实际稳定性和有限时间稳定性.
- 为了排除事件触发机制中的Zeno行为,同时保证系统性能.
主要方法:
- 建议采用两步混合控制方案,将实际稳定性和有限时间稳定性分开.
- 事件触发机制 (ETM) 是通过与可行的状态区域交叉相亲项值来设计的,以防止Zeno行为.
- 一个相似的状态依赖的切换定律和足够的条件被推导出实际稳定性,与结算时间估计.
- 提出了有限时间稳定的标准,以及整体的结算时间上限推导.
主要成果:
- 提出的方法成功地实现了在事件触发策略下切换的亲系系统的实际稳定性.
- 在ETM中,Zeno行为实际上被排除在关联术语值和可行状态区域的交叉点之外.
- 实现了有限时间稳定,并推导出标准和整体结算时间的上限.
- 一个数值示例验证了开发的控制方案的有效性.
结论:
- 新的两步混合控制方案提供了一个有效的解决方案,用于通过ETM对交换亲系系统的有限时间控制.
- 该方法保证了实用的稳定性和有限时间稳定性,同时确保没有Zeno行为.
- 衍生条件和结算时间估计为实际实施提供了宝贵的见解.
相关概念视频
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01:24Pole and System Stability
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01:24BIBO stability of continuous and discrete -time systems
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