Decomposition based fast least squares algorithm for output error systems

被引:144
作者
Ding, Feng [1 ,2 ]
机构
[1] Jiangnan Univ, Minist Educ, Key Lab Adv Proc Control Light Ind, Wuxi 214122, Peoples R China
[2] Jiangnan Univ, Control Sci & Engn Res Ctr, Wuxi 214122, Peoples R China
基金
中国国家自然科学基金;
关键词
Signal processing; Filtering; Parameter estimation; Fast least squares; Iterative algorithm; IDENTIFICATION METHODS; PARAMETER-ESTIMATION; STATE ESTIMATION;
D O I
10.1016/j.sigpro.2012.12.013
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
Parameter estimation methods have wide applications in signal processing, communication and system identification. This paper derives an iterative least squares algorithm to estimate the parameters of output error systems and uses the partitioned matrix inversion lemma to implement the proposed algorithm in order to enhance computational efficiencies. The simulation results show that the proposed algorithm works well. (C) 2012 Elsevier B.V. All rights reserved.
引用
收藏
页码:1235 / 1242
页数:8
相关论文
共 41 条
[1]   Two algorithms for finding the Hermitian reflexive and skew-Hermitian solutions of Sylvester matrix equations [J].
Dehghan, Mehdi ;
Hajarian, Masoud .
APPLIED MATHEMATICS LETTERS, 2011, 24 (04) :444-449
[2]   An iterative method for solving the generalized coupled Sylvester matrix equations over generalized bisymmetric matrices [J].
Dehghan, Mehdi ;
Hajarian, Masoud .
APPLIED MATHEMATICAL MODELLING, 2010, 34 (03) :639-654
[3]   On iterative solutions of general coupled matrix equations [J].
Ding, F ;
Chen, TW .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2006, 44 (06) :2269-2284
[4]   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
[5]   Hierarchical least squares identification methods for multivariable systems [J].
Ding, F ;
Chen, TW .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2005, 50 (03) :397-402
[6]   Iterative least-squares solutions of coupled Sylvester matrix equations [J].
Ding, F ;
Chen, TW .
SYSTEMS & CONTROL LETTERS, 2005, 54 (02) :95-107
[7]   Gradient-based and least-squares-based iterative estimation algorithms for multi-input multi-output systems [J].
Ding, F. ;
Liu, Y. ;
Bao, B. .
PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART I-JOURNAL OF SYSTEMS AND CONTROL ENGINEERING, 2012, 226 (I1) :43-55
[8]  
Ding F., 2013, APPLIED MATHEMATICAL, V37
[9]   Hierarchical multi-innovation stochastic gradient algorithm for Hammerstein nonlinear system modeling [J].
Ding, Feng .
APPLIED MATHEMATICAL MODELLING, 2013, 37 (04) :1694-1704
[10]   Identification methods for Hammerstein nonlinear systems [J].
Ding, Feng ;
Liu, Xiaoping Peter ;
Liu, Guangjun .
DIGITAL SIGNAL PROCESSING, 2011, 21 (02) :215-238