全球事件触发的道控制通过切换多个Lyapunov函数的切换非线性系统
IEEE transactions on cybernetics
|May 29, 2024
概括
本研究引入了一种用于交换非线性系统的新型事件触发 (ET) 漏斗跟踪控制. 该方法确保稳定性和性能,而不需要子系统可解决性,避免复杂性爆炸.
科学领域:
- 控制系统工程 控制系统工程
- 非线性系统理论 非线性系统理论
- 交换系统 交换系统
背景情况:
- 交换非线性系统在控制设计中存在挑战,原因是固有的复杂性和结构不确定性.
- 传统的控制方法通常需要子系统的可解决性,这限制了它们的适用性.
- "复杂性爆炸"是这种系统的后退控制的一个常见问题.
研究的目的:
- 为具有结构不确定性的开关非线性系统制定全球事件触发 (ET) 漏斗跟踪控制策略.
- 为了应对不需要单个子系统可靠性的挑战.
- 为了克服"复杂性爆炸"问题,在后退技术中普遍存在.
主要方法:
- 建议采用切换多个Lyapunov函数 (MLFs) 方法,将MLFs纳入切换反向动态.
- 一个切换屏障Lyapunov函数旨在管理切换采样错误.
- 引入了一个新的切换动态事件触发机制 (DETM).
- 后退,一个停留时间状态依赖的切换法,和一个ET道控制器是结合在一起的.
主要成果:
- 拟议的方法有效地消除了没有动态表面控制或指挥过器的"复杂性爆炸".
- 切换DETM保证跟踪错误仍然在性能漏斗中,避免Zeno行为.
- 为连续触发和切换间隔保证了正常数下限.
- 通过实践示例验证理论结果.
结论:
- 开发的ET漏斗跟踪控制策略为交换非线性系统提供了强大的解决方案.
- 基于DETM和MLF的新型切换方法提高了控制性能和稳定性.
- 这项工作在控制复杂的非线性系统方面取得了重大进展.
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