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Algorithms 2018, 11(11), 180; https://doi.org/10.3390/a11110180

Iterative Identification for Multivariable Systems with Time-Delays Based on Basis Pursuit De-Noising and Auxiliary Model

1
and
1,2,*
1
School of Internet of Things Engineering, Jiangnan University, Wuxi 214122, China
2
Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), Jiangnan University, Wuxi 214122, China
*
Author to whom correspondence should be addressed.
Received: 30 September 2018 / Revised: 27 October 2018 / Accepted: 31 October 2018 / Published: 6 November 2018
(This article belongs to the Special Issue Parameter Estimation Algorithms and Its Applications)
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Abstract

This paper focuses on the joint estimation of parameters and time-delays of the multiple-input single-output output-error systems. Since the time-delays are unknown, an effective identification model with a high dimensional and sparse parameter vector is established based on overparameterization. Then, the identification problem is converted to a sparse optimization problem. Based on the basis pursuit de-noising criterion and the auxiliary model identification idea, an auxiliary model based basis pursuit de-noising iterative algorithm is presented. The parameters are estimated by solving a quadratic program, and the unavailable terms in the information vector are updated by the auxiliary model outputs iteratively. The time-delays are estimated according to the sparse structure of the parameter vector. The proposed method can obtain effective estimates of the parameters and time-delays from few sampled data. The simulation results illustrate the effectiveness of the proposed algorithm. View Full-Text
Keywords: multivariable system; parameter identification; time-delay estimation; basis pursuit de-noising; auxiliary model; quadratic program multivariable system; parameter identification; time-delay estimation; basis pursuit de-noising; auxiliary model; quadratic program
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You, J.; Liu, Y. Iterative Identification for Multivariable Systems with Time-Delays Based on Basis Pursuit De-Noising and Auxiliary Model. Algorithms 2018, 11, 180.

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