A time-varying forgetting factor stochastic gradient combined with Kalman filter algorithm for parameter identification of dynamic systems

被引:17
作者
Li, Junpeng [1 ,2 ]
Hua, Changchun [1 ]
Tang, Yinggan [1 ]
Guan, Xinping [1 ,2 ]
机构
[1] Yanshan Univ, Inst Elect Engn, Qinhuangdao 066004, Peoples R China
[2] Shanghai Jiao Tong Univ, Dept Automat, Shanghai 200240, Peoples R China
基金
中国国家自然科学基金;
关键词
Dynamic systems; Parameter estimation; Stochastic gradient; Kalman filter; STATE-SPACE SYSTEMS; MODEL; DELAY;
D O I
10.1007/s11071-014-1540-9
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
Parameter estimation problem of a class of observer canonical state-space system is considered in this paper. By means of the property of the shift operator, the space-state model is transformed into the input-output representations. Then, a time-varying forgetting factor stochastic gradient combined with Kalman filter algorithm is proposed. The proposed algorithm is based on interactively estimating unknown parameters to achieve all the parameters identification of the system. A numerical example is provided to verify the effectiveness of the proposed algorithm.
引用
收藏
页码:1943 / 1952
页数:10
相关论文
共 32 条
[1]   An Auxiliary-Model-Based Stochastic Gradient Algorithm for Dual-Rate Sampled-Data Box-Jenkins Systems [J].
Chen, Jing ;
Ding, Rui .
CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2013, 32 (05) :2475-2485
[2]   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
[3]   Bias compensation based recursive least-squares identification algorithm for MISO systems [J].
Ding, Feng ;
Chen, Tongwen ;
Qiu, Li .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2006, 53 (05) :349-353
[4]   Combined state and least squares parameter estimation algorithms for dynamic systems [J].
Ding, Feng .
APPLIED MATHEMATICAL MODELLING, 2014, 38 (01) :403-412
[5]   Performance Analysis of the Auxiliary Model-Based Stochastic Gradient Parameter Estimation Algorithm for State-Space Systems with One-Step State Delay [J].
Ding, Feng ;
Gu, Ya .
CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2013, 32 (02) :585-599
[6]   Hierarchical multi-innovation stochastic gradient algorithm for Hammerstein nonlinear system modeling [J].
Ding, Feng .
APPLIED MATHEMATICAL MODELLING, 2013, 37 (04) :1694-1704
[7]   Performance analysis of the auxiliary model-based least-squares identification algorithm for one-step state-delay systems [J].
Ding, Feng ;
Gu, Ya .
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2012, 89 (15) :2019-2028
[8]   Multiinnovation Least-Squares Identification for System Modeling [J].
Ding, Feng ;
Liu, Peter X. ;
Liu, Guangjun .
IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 2010, 40 (03) :767-778
[9]   Auxiliary model based multi-innovation extended stochastic gradient parameter estimation with colored measurement noises [J].
Ding, Feng ;
Liu, Peter X. ;
Liu, Guangjun .
SIGNAL PROCESSING, 2009, 89 (10) :1883-1890
[10]   Reconstruction of continuous-time systems from their non-uniformly sampled discrete-time systems [J].
Ding, Feng ;
Qiu, Li ;
Chen, Tongwen .
AUTOMATICA, 2009, 45 (02) :324-332