一类含有有色噪声的鲁棒非线性扩展状态估计  

A Class of Robust Non-linear Extended State Estimation with Colored Noise

作　　者：师卫国 朱可欣 董燕飞 祁林 贺伟 侯宁 SHI Weiguo;ZHU Kexin;DONG Yanfei;QI Lin;HE Wei;HOU Ning(School of Electrical and Control Engineering,Henan University of Urban Construction,Pingdingshan 467036,China)

机构地区：[1]河南城建学院电气与控制工程学院,河南平顶山467036

出　　处：《火力与指挥控制》2024年第3期56-64,72,共10页Fire Control & Command Control

基　　金：河南省高等学校重点科研项目(21B510002);河南省科技攻关项目(212102310301);河南省高等学校青年骨干教师培养计划(2020GGJS219);河南城建学院青年骨干教师资助项目(YCJQNGGJS201906)。

摘　　要：针对含有有色噪声和通信带宽受限的网络化系统,设计了鲁棒非线性扩展状态估计算法。采用测量信息逐差法降低噪声相关性对系统造成的影响,再利用对数量化器进行测量信息处理,克服通信容量限制,创新地将不确定非线性项作为扩展系统的一个状态解决非线性问题,在此基础上设计了一种鲁棒非线性扩展状态估计器。运用Young’s不等式和矩阵分析求解Riccati方程,得到估计器的误差协方差上界,实现增益的实时优化。该估计算法处理非线性系统更加方便,能够克服非线性函数处理时的保守性,且估计性能优异。A robust non-linear extended state estimation algorithm is designed for networked sys-tems containing coloured noise and limited communication bandwidth.The measurement information method of differences is used to reduce the influence of noise correlation on the system,and then the logarithmic quantizer is used to process the measurement information to overcome the communication capacity limitation,the uncertain non-linear item is innovatively regarded as a state of extended state to solve the non-linear problems.On the basis,a robust nonlinear extended state estimator is designed.Using Young's inequality and matrix analysis are applied to solve the Riccati equation,the upper bound of the error covariance of the estimator is obtained,and the real-time optimization of the gain is real-ized.The estimation algorithm is more convenient to deal with non-linear systems,and it can overcome the conservativenessin the treatment of non-linear functions,and has excellent estimation performance.

关 键 词：状态估计 非线性时变系统 扩展状态 量化处理 鲁棒控制 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]