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Design and Analysis for Fall Detection System Simplification
Published on: April 6, 2020
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在时间延迟信息交换下的多个传感器系统的分布式状态观察器
1College of Electronics and Information Engineering, Tongji University, Shanghai 201804, China.
Sensors (Basel, Switzerland)
|July 13, 2024
概括
这项研究为具有时间延迟的线性时间不变系统设计了分布式观测器. 该方法通过在观察者错误动态中实现非对称稳定性来确保准确的状态估计,即使有通信延迟.
科学领域:
- 控制系统工程 控制系统工程
- 网络系统理论 网络系统理论
- 应用数学 应用数学 应用数学
背景情况:
- 分布式观察者对于复杂系统中的状态估计至关重要.
- 信息交换的时间延迟对观察员的表现构成重大挑战.
- 具有多个传感器的线性时间不变 (LTI) 系统需要强大的估计技术.
研究的目的:
- 为已知时间延迟的LTI系统设计分布式观察器.
- 通过有效地拒绝时间延迟来确保非对称状态估计.
- 开发一种方法来保证观察者错误动态的稳定性.
主要方法:
- 将目标系统重写为连接形式,以建立受延迟状态影响的子系统.
- 构建一个分布式的观察器,将每个子系统的时间延迟纳入其中.
- 根据可观测的正规分解定理,应用一个等效状态转换.
- 使用线性矩阵不等式 (LMI) 和一个莱普诺夫函数候选项进行稳定性分析.
主要成果:
- 一个分布式观测器设计,在存在时间延迟的情况下实现非对称状态估计.
- 用利亚普诺夫稳定理论证明观察者误差动态系统的非对称稳定性.
- 通过建立LMI的可行解决方案来确定观察者收益.
- 通过模拟示例验证拟议方法的有效性.
结论:
- 拟议的分布式观察员设计有效地处理LTI系统中的时间延迟.
- 基于LMI的方法保证了观察者错误动态的非对称稳定性.
- 该方法提供了一个可靠的框架,用于在有通信延迟的网络系统中估计状态.
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