NDLI: Hierarchical identification for multivariate Hammerstein systems by using the modified Kalman filter

Content Provider	IET Digital Library
Author	Ma, Junxia Xiong, Weili Chen, Jing Feng, Ding
Abstract	The parameter estimation problem for multi-input multi-output Hammerstein systems is considered. For the Hammerstein model to be identified, its dynamic time-invariant subsystem is described by a controlled autoregressive model with a communication delay. The modified Kalman filter (MKF) algorithm is derived to estimate the unknown intermediate variables in the system and the MKF-based recursive least squares (LS) algorithm is presented to estimate all the unknown parameters. Furthermore, the hierarchical identification is adopted to decompose the system into two fictitious subsystems: one containing the unknown parameters in the non-linear block and the other containing the unknown parameters in the linear subsystem. Then an MKF-based hierarchical LS algorithm is derived. The convergence analysis shows the performance of the presented algorithms. The numerical simulation results indicate that the proposed algorithms are effective.
Starting Page	857
Ending Page	869
Page Count	13
ISSN	17518644
Volume Number	11
e-ISSN	17518652
Issue Number	Issue 6, Apr (2017)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-cta/11/6
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-cta.2016.1033
Journal	IET Control Theory & Applications
Publisher Date	2017-01-10
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Autoregressive Processes Communication Delay Controlled Autoregressive Model Convergence Analysis Delay Distributed Parameter Control System Dynamic Time-invariant Subsystem Hierarchical Identification Interpolation And Function Approximation Kalman Filter Least Squares Approximation MIMO System MKF-based Hierarchical LS Algorithm MKF-based Recursive Least Squares Algorithm Modified Kalman Filter Multiinput Multioutput Hammerstein System Multivariable Control System Multivariate Hammerstein System Numerical Analysis Parameter Estimation Statistics
Content Type	Text
Resource Type	Article
Subject	Control and Optimization Control and Systems Engineering Human-Computer Interaction Electrical and Electronic Engineering Computer Science Applications

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