具有时间变化的延迟的线性时间不变系统的分布式观测者:一个切换事件触发的方法
IEEE transactions on cybernetics
|June 16, 2025
概括
分布式观察者估计线性时间不变 (LTI) 系统状态,尽管使用新型事件触发机制的时间变化延迟. 这种方法节约了资源,同时确保了准确的状态估计,避免了Zeno行为.
科学领域:
- 控制系统工程 控制系统工程
- 网络化系统 网络化系统
- 估计理论估计理论
背景情况:
- 对线性时间不变系统 (LTI) 的状态估计对于系统分析和控制至关重要.
- 分布式观察员用于大型系统,但时间变化的延迟带来了重大挑战.
- 需要事件触发机制来减少分布式观察者设计中的通信和计算负担.
研究的目的:
- 为LTI系统设计分布式观察员,能够处理时间变化的延迟.
- 开发基于边缘的切换事件触发机制 (SETM) 进行高效的状态估计.
- 为稳定性分析提供统一的框架,并推导出对非对称状态估计的条件.
主要方法:
- 分布式观察员的设计包括基于边缘的切换事件触发机制 (SETM).
- 开发一个统一的框架来分析估计错误系统的稳定性.
- 在SETM中推导出足够的条件,以估计在SETM中的非对称状态.
- 确保采样间时间的正下限,以防止Zeno行为.
主要成果:
- 拟议的SETM允许使用离散相对状态信息进行连续状态估计.
- 实现了通信和计算资源消耗的显著减少.
- 该框架保证了采样间时间的正下界,避免了Zeno现象.
- 通过分布式观察者成功地获得了足够的条件来估计分布式状态.
结论:
- 使用SETM开发的分布式观察器有效地解决了对LTI系统的状态估计,时间延迟有所变化.
- 拟议的事件触发方法为网络控制系统提供了一个资源高效的解决方案.
- 数字模拟验证了设计的分布式观察员的有效性和性能.
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