混合动力冲动控制用于低完全执行系统的全球稳定
Qinbo Huang1, Jitao Sun2, Min Zhao3
1School of Mathematical Sciences, Tongji University, Shanghai, 200092, China.
ISA transactions
|November 28, 2024
概括
本研究介绍了一种混合冲动控制方法,用于全球稳定次完全执行系统 (sub-FAS). 这种方法克服了先前方法的局限性,因为它可以在没有初始状态约束的情况下实现稳定.
科学领域:
- 控制理论 控制理论
- 混合系统 混合系统
- 非线性动力学是一种非线性动力学.
背景情况:
- 由于单一的集,子完全执行系统 (sub-FAS) 提出了挑战,限制了传统的控制方法.
- 现有的子FAS稳定技术往往需要严格的初始条件约束.
- 高级完全执行 (HOFA) 系统方法是常见的,但有时是不可行的子FAS的控制策略.
研究的目的:
- 开发一种新的混合动力冲动控制方法,用于全球稳定子FAS.
- 通过消除对初始状态的约束来解决现有方法的局限性.
- 建立使用拟议的混合控制器的子FAS全球稳定标准.
主要方法:
- 设计了一种混合控制器,将高级完全执行 (HOFA) 系统方法与状态依赖的冲动控制相结合.
- 使用开发的控制器将子FAS转换为混合系统.
- 利用稳定和不稳定的冲动来管理子FAS中的单一集.
主要成果:
- 在没有对初始条件的限制的情况下实现了子FAS的全球稳定.
- 导出适用于转型混合系统的全球稳定标准.
- 通过两个说明性例子证明了拟议方法的有效性.
结论:
- 混合冲动控制方法为全球稳定子FAS提供了可行的解决方案,克服了先前方法的局限性.
- 使用依赖状态的冲动,包括稳定和不稳定类型,对于管理系统奇点至关重要.
- 这项研究为控制复杂的子FAS系统提供了新的理论框架和实践方法.
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