Variable step size predictor design for a class of linear discrete-time censored system

被引:1
|
作者
Li, Zhifang [1 ]
Zhao, Huihong [1 ]
Meng, Hailong [1 ]
Chen, Yong [2 ]
机构
[1] Qilu Univ Technol, Sch Math & Stat, Shandong Acad Sci, Jinan 250353, Peoples R China
[2] North Automat Control Technol Inst, Taiyuan, Peoples R China
来源
AIMS MATHEMATICS | 2021年 / 6卷 / 10期
关键词
censored system; Kalman filtering; variable step size predictor; minimum error variance trace; projection formula; TOBIT KALMAN FILTER; STATE ESTIMATION; TRACKING; MODEL;
D O I
10.3934/math.2021614
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We propose a novel variable step size predictor design method for a class of linear discrete-time censored system. We divide the censored system into two parts. The system measurement equation in one part doesn't contain the censored data, and the system measurement equation in the other part is the censored signal. For the normal one, we use the Kalman filtering technology to design one-step predictor. For the one that the measurement equation is censored, we determine the predictor step size according to the censored data length and give the gain compensation parameter matrix beta(s) for the case predictor with obvious errors applying the minimum error variance trace, projection formula, and empirical analysis, respectively. Finally, a simulation example shows that the variable step size predictor based on empirical analysis has better estimation performance.
引用
收藏
页码:10581 / 10595
页数:15
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