通过数据过,对具有自回归噪声的双线系统进行联合代状态和参数估计
Siyu Liu1, Yanjiao Wang2, Feng Ding3
1Key Laboratory of Urban Rail Transit Intelligent Operation and Maintenance Technology & Equipment of Zhejiang Provincial, Zhejiang Normal University, 321004, Jinhua, China; Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), School of Internet of Things Engineering, Jiangnan University, Wuxi 214122, China.
本研究介绍了一种代算法,用于估计带有彩色噪声的双线系统中的状态和参数. 基于卡尔曼过的多创新梯度的代算法 (KF-MIGI) 提高了复杂系统的准确性.
科学领域:
- 控制系统工程 控制系统工程
- 信号处理 信号处理
- 非线性系统识别 非线性系统识别
背景情况:
- 双线状态空间系统在状态和参数估计方面存在独特的挑战,原因是固有的非线性.
- 准确的估计对于这些复杂系统的控制,诊断和建模至关重要.
- 彩色噪声进一步使估计变得复杂,需要先进的过技术.
研究的目的:
- 为双线状态空间系统的联合状态和参数估计开发一个强大的代算法.
- 解决这些系统中非线性和彩色噪声所带来的挑战.
- 提高对双线系统的估计方法的准确性和效率.
主要方法:
- 修改卡尔曼过用于在二线系统中的状态估计.
- 开发基于卡尔曼过的多创新梯度基代 (KF-MIGI) 算法用于参数估计.
- 介绍了一种基于数据过的KF-MIGI算法,包含适应性过来处理有色噪声.
主要成果:
- 拟议的KF-MIGI算法证明了有效的联合状态和参数估计.
- 基于数据过的方法在有色噪声的情况下显著提高了估计准确性.
- 数字示例验证了与标准梯度方法相比,提出的代算法的优越性能.
结论:
- 这种新的代算法为带有彩色噪声的双线系统的联合状态和参数估计提供了有效的解决方案.
- 整合自适应数据过提高了稳定性和准确性,优于现有方法.
- 这项工作为研究人员和工程师在复杂的非线性动态系统上工作提供了有价值的工具.
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