一个改进的二次函数负确定性定理,用于稳定具有执行器故障的非线性网络物理系统
IEEE transactions on cybernetics
|February 26, 2026
概括
本研究引入了一种新的故障耐受性控制 (FTC) 算法,用于非线性网络物理系统 (CPS) 的执行器故障和时间变化的延迟,以确保系统稳定.
科学领域:
- 控制系统工程 控制系统工程
- 网络物理系统安全 网络物理系统安全
- 非线性系统动态 非线性系统动态
背景情况:
- 网络物理系统 (CPS) 容易受到执行器故障的影响,从而损害稳定性.
- 随时间变化的CPS延迟带来了重大控制挑战.
- 现有的容错控制 (FTC) 方法可能无法完全解决复杂的非线性动态和延迟.
研究的目的:
- 开发一个强大的FTC算法来稳定非线性CPS与执行器故障和时间变化的延迟.
- 为二次函数提出一个新的负确定定理,以有效处理时间变化的延迟.
- 确保使用利亚普诺夫稳定性理论来确保被解决的CPS的非对称稳定.
主要方法:
- 提出了一种新的二次函数负判定定理,将分析的延迟间隔划分.
- 使用了利亚普诺夫-克拉索夫斯基函数 (LKF) 和利亚普诺夫稳定理论 (LST).
- 足够的稳定条件以线性矩阵不等式 (LMI) 的形式得到.
主要成果:
- 拟议的方法实现了对非线性CPS的非对称稳定,但受执行器故障和时间变化的延迟的影响.
- 为二次函数建立了新的负确定性条件,提高了系统性能.
- 数字模拟,包括自主地面车辆 (AGV) 的例子,证明了这种方法的有效性.
结论:
- 开发的FTC算法有效地稳定非线性CPS,尽管执行器故障和时间变化的延迟.
- 新的负决定定理为分析具有延迟的系统提供了一个强大的工具.
- 拟议的方法为提高CPS的可靠性和安全性提供了一个有希望的解决方案.
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