A new approach for ARMA pole estimation using higher-order crossings

被引:21
作者
Salsbury, TI [1 ]
Singhal, A [1 ]
机构
[1] Johnson Controls Inc, Controls Res Grp, Milwaukee, WI 53202 USA
来源
ACC: PROCEEDINGS OF THE 2005 AMERICAN CONTROL CONFERENCE, VOLS 1-7 | 2005年
关键词
IDENTIFICATION;
D O I
10.1109/ACC.2005.1470698
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
The paper describes a new method for estimating the poles of an ARMA model using higher-order crossings. The method involves transforming counts of crossing events into estimates of ARMA poles via the autocorrelation domain. An important advantage of the method is that the crossing counts are the only features that need to be stored from the original data. The poles of an ARMA model of a control loop correspond to the roots of the characteristic equation and are thus useful for evaluating control performance.
引用
收藏
页码:4458 / 4463
页数:6
相关论文
共 28 条
[1]  
Astrom K. J., 2006, INTRO STOCHASTIC CON
[2]   ZERO-CROSSING RATES OF FUNCTIONS OF GAUSSIAN-PROCESSES [J].
BARNETT, JT ;
KEDEM, B .
IEEE TRANSACTIONS ON INFORMATION THEORY, 1991, 37 (04) :1188-1194
[3]  
Box George E. P., 2015, Time Series Analysis: Forecasting and Control
[4]  
Brockwell PJ, 2016, SPRINGER TEXTS STAT, P1, DOI 10.1007/978-3-319-29854-2
[5]   The problem of pole-zero cancellation in transfer function identification and application to adaptive stabilization [J].
Campi, MC .
AUTOMATICA, 1996, 32 (06) :849-857
[6]  
Cramer H., 1967, Stationary and Related Stochastic Processes
[7]   PERFORMANCE ASSESSMENT MEASURES FOR UNIVARIATE FEEDBACK-CONTROL [J].
DESBOROUGH, L ;
HARRIS, T .
CANADIAN JOURNAL OF CHEMICAL ENGINEERING, 1992, 70 (06) :1186-1197
[8]   A robust identification technique for time-varying ARMA processes based on variable structure systems theory [J].
Efe, MÖ ;
Kaynak, O ;
Wilamowski, BM .
MATHEMATICAL AND COMPUTER MODELLING OF DYNAMICAL SYSTEMS, 2002, 8 (02) :185-198
[9]   PERFORMANCE EVALUATION OF THE MODIFIED YULE-WALKER ESTIMATOR [J].
FRIEDLANDER, B ;
SHARMAN, KC .
IEEE TRANSACTIONS ON ACOUSTICS SPEECH AND SIGNAL PROCESSING, 1985, 33 (03) :719-725
[10]  
Hamilton J. D., 2020, Time series analysis