混合值逻辑控制网络的可检测性基于类似于Luenberger的观察者方法
Shulan Kong1, Mingying Lu2, Mutian Li3
1School of Mathematical Sciences, Qufu Normal University, Qufu, 273165, Shandong, China.
Scientific reports
|December 27, 2024
概括
本研究引入了一个类似于Luenberger的观察者来评估混合值逻辑控制网络的可检测性. 该研究定义了关键的可检测性概念,并为这些复杂系统中的状态检测提供了条件.
科学领域:
- 控制系统工程 控制系统工程
- 网络理论 网络理论
- 布尔网络 是一个布尔网络.
背景情况:
- 混合值逻辑控制网络为状态估计带来了独特的挑战.
- 现有的观察员设计可能无法充分解决这些系统的复杂性.
研究的目的:
- 调查混合值逻辑控制网络的可检测性.
- 开发和验证一个类似于Luenberger的观察器,用于状态检测.
主要方法:
- 定义三个可检测性概念:可检测性,强度可检测性和弱度可检测性.
- 将控制网络转换为相当的代数形式.
- 设计一个类似于卢恩伯格的观察者,用于代数表示.
- 导出可检测性的必要和充分条件.
主要成果:
- 建立了评估混合值逻辑控制网络可检测性的理论条件.
- 通过两个例子证明了拟议的Luenberger-like观察者的有效性.
- 验证了观察员在检测网络状态方面的良好表现.
结论:
- 开发的Luenberger-like观察器有效地解决了混合值逻辑控制网络中的检测性挑战.
- 衍生条件为分析网络状态检测提供了一个强大的框架.
- 这项研究为复杂的控制系统中观察家理论的应用提供了实用的见解.
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