Partially Coupled Stochastic Gradient Identification Methods for Non-Uniformly Sampled Systems

被引:264
作者
Ding, Feng [1 ,2 ]
Liu, Guangjun [3 ]
Liu, Xiaoping Peter [4 ]
机构
[1] Jiangnan Univ, Control Sci & Engn Res Ctr, Wuxi, Peoples R China
[2] Jiangnan Univ, Key Lab Adv Proc Control Light Ind, Minist Educ, Wuxi, Peoples R China
[3] Ryerson Univ, Dept Aerosp Engn, Toronto, ON M5B 2K3, Canada
[4] Carleton Univ, Dept Syst & Comp Engn, Ottawa, ON K1S 5B6, Canada
基金
中国国家自然科学基金; 加拿大自然科学与工程研究理事会;
关键词
Discretization; multirate systems; non-uniform sampling; parameter estimation; recursive identification; stochastic gradient; DUAL-RATE SYSTEMS; GENERALIZED PREDICTIVE CONTROL; PARAMETER-ESTIMATION; MULTIRATE SYSTEMS; AUXILIARY MODEL; OUTPUT ESTIMATION; STATE; BIOREACTOR;
D O I
10.1109/TAC.2010.2050713
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This technical note addresses identification problems of non-uniformly sampled systems. For the input-output representation of non-uniform discrete-time systems, a partially coupled stochastic gradient (C-SG) algorithm is proposed to estimate the model parameters with high computational efficiency compared with the standard stochastic gradient (SG) algorithm. The analysis indicates that the partially C-SG algorithm can give more accurate parameter estimates than the SG algorithm. The parameter estimates obtained using the partially C-SG algorithm converge to their true values as the data length approaches infinity.
引用
收藏
页码:1976 / 1981
页数:6
相关论文
共 30 条
[1]  
[Anonymous], 1995, OPTIMAL SAMPLED DATA, DOI DOI 10.1007/978-1-4471-3037-6
[2]  
[Anonymous], 1999, SYSTEM IDENTIFICATIO
[3]   Parameter estimation of dual-rate stochastic systems by using an output error method [J].
Ding, F ;
Chen, TW .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2005, 50 (09) :1436-1441
[4]   Hierarchical gradient-based identification of multivariable discrete-time systems [J].
Ding, F ;
Chen, TW .
AUTOMATICA, 2005, 41 (02) :315-325
[5]   Hierarchical identification of lifted state-space models for general dual-rate systems [J].
Ding, F ;
Chen, TW .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2005, 52 (06) :1179-1187
[6]   Hierarchical least squares identification methods for multivariable systems [J].
Ding, F ;
Chen, TW .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2005, 50 (03) :397-402
[7]   Combined parameter and output estimation of dual-rate systems using an auxiliary model [J].
Ding, F ;
Chen, TW .
AUTOMATICA, 2004, 40 (10) :1739-1748
[8]   Identification of dual-rate systems based on finite impulse response models [J].
Ding, F ;
Chen, TW .
INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL AND SIGNAL PROCESSING, 2004, 18 (07) :589-598
[9]   Parameter identification and intersample output estimation for dual-rate systems [J].
Ding, Feng ;
Liu, Peter X. ;
Yang, Huizhong .
IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART A-SYSTEMS AND HUMANS, 2008, 38 (04) :966-975
[10]   Performance analysis of multi-innovation gradient type identification methods [J].
Ding, Feng ;
Chen, Tongwen .
AUTOMATICA, 2007, 43 (01) :1-14