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

• Published in: AIMS mathematics Vol. 6; no. 10; pp. 10581 - 10595
• Main Authors: Li, Zhifang, Zhao, Huihong, Meng, Hailong, Chen, Yong
• Format: Journal Article
• Language: English
• Published: AIMS Press 01.01.2021
• Subjects: censored system; kalman filtering; minimum error variance trace; projection formula; variable step size predictor
• ISSN: 2473-6988; 2473-6988
• DOI: 10.3934/math.2021614

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 $β(\mathfrak{s})$ 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.