The paper focuses on the identification of discrete-time bilinear forms in the special case when the external noise (disturbance) is an autoregressive average moving process. The proposed estimation procedure is iterative where, at each iteration, two sets of parameter vectors are estimated interactively. Using the hierarchical technique, a hierarchical generalized extended least squares-based iterative (H-GELSI) algorithm is proposed for avoiding estimating the redundant parameters. In contrast to the hierarchical generalized extended gradient-based iterative (H-GEGI) algorithm, the proposed algorithm can give more accurate parameter estimates. The main results derived in this paper are verified by means of both the computational efficiency comparison and two numerical simulations.
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September 2019
Research-Article
Iterative Identification of Discrete-Time Systems With Bilinear Forms in the Presence of Colored Noises Based on the Hierarchical Principle
Mengting Chen,
Mengting Chen
Key Laboratory of Advanced Process Control for
Light Industry (Ministry of Education),
Jiangnan University,
Wuxi 214122, China
e-mail: mtchen11@126.com
Light Industry (Ministry of Education),
Jiangnan University,
Wuxi 214122, China
e-mail: mtchen11@126.com
Search for other works by this author on:
Feng Ding
Feng Ding
Key Laboratory of Advanced Process Control for
Light Industry (Ministry of Education),
Jiangnan University,
Wuxi 214122, China;
Light Industry (Ministry of Education),
Jiangnan University,
Wuxi 214122, China;
College of Automation and
Electronic Engineering,
Qingdao University of
Science and Technology,
Qingdao 266061, China;
Electronic Engineering,
Qingdao University of
Science and Technology,
Qingdao 266061, China;
Department of Mathematics,
King Abdulaziz University,
Jeddah 21589, Saudi Arabia
e-mail: fding@jiangnan.edu.cn
King Abdulaziz University,
Jeddah 21589, Saudi Arabia
e-mail: fding@jiangnan.edu.cn
1Corresponding author.
Search for other works by this author on:
Mengting Chen
Key Laboratory of Advanced Process Control for
Light Industry (Ministry of Education),
Jiangnan University,
Wuxi 214122, China
e-mail: mtchen11@126.com
Light Industry (Ministry of Education),
Jiangnan University,
Wuxi 214122, China
e-mail: mtchen11@126.com
Feng Ding
Key Laboratory of Advanced Process Control for
Light Industry (Ministry of Education),
Jiangnan University,
Wuxi 214122, China;
Light Industry (Ministry of Education),
Jiangnan University,
Wuxi 214122, China;
College of Automation and
Electronic Engineering,
Qingdao University of
Science and Technology,
Qingdao 266061, China;
Electronic Engineering,
Qingdao University of
Science and Technology,
Qingdao 266061, China;
Department of Mathematics,
King Abdulaziz University,
Jeddah 21589, Saudi Arabia
e-mail: fding@jiangnan.edu.cn
King Abdulaziz University,
Jeddah 21589, Saudi Arabia
e-mail: fding@jiangnan.edu.cn
1Corresponding author.
Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received December 11, 2018; final manuscript received May 30, 2019; published online July 15, 2019. Assoc. Editor: Bernard Brogliato.
J. Comput. Nonlinear Dynam. Sep 2019, 14(9): 091004 (10 pages)
Published Online: July 15, 2019
Article history
Received:
December 11, 2018
Revised:
May 30, 2019
Citation
Chen, M., and Ding, F. (July 15, 2019). "Iterative Identification of Discrete-Time Systems With Bilinear Forms in the Presence of Colored Noises Based on the Hierarchical Principle." ASME. J. Comput. Nonlinear Dynam. September 2019; 14(9): 091004. https://doi.org/10.1115/1.4044013
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