对于具有倍增噪声的二维离散时间周期马尔科夫跳跃系统的过:周期性HMM方法
IEEE transactions on cybernetics
|July 10, 2025
概括
本研究引入了一个非同步的H-无限度过器,用于缺少数据的2D系统,使用周期隐藏马尔科夫模型 (HMM). 过器确保稳定性和性能,尽管异步操作和未知的系统参数.
科学领域:
- 控制系统工程 控制系统工程
- 随机系统理论 随机系统理论
- 信号处理 信号处理
背景情况:
- 对具有倍数噪声的二维离散时间周期马尔科夫跳跃系统进行过的挑战.
- 缺失测量的问题,建模为伯努利随机变量.
- 需要解决由于模式信息丢失而导致系统和过器之间的非同步现象.
研究的目的:
- 为二维离散时间周期马尔科夫跳跃系统设计和实施异步H无限度过器.
- 整合一个周期性的隐藏马尔科夫模型 (HMM) 来处理模式信息丢失和非同步问题.
- 为了保证波错误系统的平均平方对比稳定性和H无限度干扰减弱.
主要方法:
- 使用周期性隐藏马尔科夫模型 (HMM) 来管理系统和过异步.
- 根据线性矩阵不等式 (LMIs) 制定过器设计条件.
- 考虑各种已知的/未知的过渡概率案例的一般过渡率矩阵和条件概率矩阵.
主要成果:
- 为存在异步H-无限度过器的足够条件得出.
- 为过器参数提供了一个构造性的解决方案.
- 拟议过器设计的有效性是使用达布克斯方程来验证的.
结论:
- 开发的异步H无限度过器有效地解决了二维周期马尔科夫跳跃系统中缺失的测量和非同步操作的问题.
- 基于LMI的方法为设计这种过器提供了一个强大的框架,即使系统参数是部分或完全未知的.
- 该研究展示了一种用于提高复杂随机系统中过性能的实用方法.
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