Online Identification of Multivariable Discrete Time Delay Systems Using a Recursive Least Square Algorithm

This paper addresses the problem of simultaneous identification of linear discrete time delay multivariable systems. This problem involves both the estimation of the time delays and the dynamic parameters matrices. In fact, we suggest a new formulation of this problem allowing defining the time dela...

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Bibliographic Details
Published in:Mathematical problems in engineering Vol. 2013; no. 2013; pp. 1 - 18
Main Authors: Bedoui, Saïda, Abderrahim, Kamel, Ltaïef, Majda
Format: Journal Article
Language:English
Published: Cairo, Egypt Hindawi Publishing Corporation 01.01.2013
John Wiley & Sons, Inc
Subjects:
Algorithms
Computer simulation
Control systems
Discrete time systems
Dynamical systems
Dynamics
Engineering
Identification
International conferences
Least squares method
Mathematical analysis
Methods
Multivariable
Neural networks
Parameter estimation
Parameter identification
Partial differential equations
Process controls
Time delay
Time delay systems
Vectors (mathematics)
Wavelet transforms
ISSN:1024-123X, 1563-5147
Online Access:Get full text
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Summary:This paper addresses the problem of simultaneous identification of linear discrete time delay multivariable systems. This problem involves both the estimation of the time delays and the dynamic parameters matrices. In fact, we suggest a new formulation of this problem allowing defining the time delay and the dynamic parameters in the same estimated vector and building the corresponding observation vector. Then, we use this formulation to propose a new method to identify the time delays and the parameters of these systems using the least square approach. Convergence conditions and statistics properties of the proposed method are also developed. Simulation results are presented to illustrate the performance of the proposed method. An application of the developed approach to compact disc player arm is also suggested in order to validate simulation results.
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ISSN:1024-123X
1563-5147
DOI:10.1155/2013/658194