Simultaneous identification of unknown time delays and model parameters in uncertain dynamical systems with linear or nonlinear parameterization by autosynchronization

doi:10.1088/1674-1056/22/9/090203

中国物理B ›› 2013, Vol. 22 ›› Issue (9): 90203-090203.doi: 10.1088/1674-1056/22/9/090203

Simultaneous identification of unknown time delays and model parameters in uncertain dynamical systems with linear or nonlinear parameterization by autosynchronization

顾卫东, 孙志勇, 吴晓明, 于长斌

Shandong Provincial Key Laboratory of Computer Network, Shandong Computer Science Center, Jinan 250014, China

收稿日期:2013-01-05 修回日期:2013-04-19 出版日期:2013-07-26 发布日期:2013-07-26
基金资助:
Project supported by the National Science and Technology Major Project of the Ministry of Science and Technology of China (Grant No. 2011ZX03005-002), the Shandong Academy of Science Development Fund for Science and Technology, China, and the Pilot Project for Science and Technology in Shandong Academy of Science, China.

Simultaneous identification of unknown time delays and model parameters in uncertain dynamical systems with linear or nonlinear parameterization by autosynchronization

Gu Wei-Dong (顾卫东), Sun Zhi-Yong (孙志勇), Wu Xiao-Ming (吴晓明), Yu Chang-Bin (于长斌)

Shandong Provincial Key Laboratory of Computer Network, Shandong Computer Science Center, Jinan 250014, China

Received:2013-01-05 Revised:2013-04-19 Online:2013-07-26 Published:2013-07-26
Contact: Sun Zhi-Yong E-mail:kfmuzik@126.com; sun.zhiyong.cn@gmail.com; sunzhy@sdas.org
Supported by:
Project supported by the National Science and Technology Major Project of the Ministry of Science and Technology of China (Grant No. 2011ZX03005-002), the Shandong Academy of Science Development Fund for Science and Technology, China, and the Pilot Project for Science and Technology in Shandong Academy of Science, China.

摘要/Abstract

摘要： In this paper, we propose a general method to simultaneously identify both unknown time delays and unknown model parameters in delayed dynamical systems based on the autosynchronization technique. The design procedure is presented in detail by constructing a specific Lyapunov function and linearizing the model function with nonlinear parameterization. The obtained result can be directly extended to the identification problem of linearly parameterized dynamical systems. Two typical numerical examples confirming the effectiveness of the identification method are given.

关键词: autosynchronization, parameter identification, delay identification, nonlinear parameterization

Abstract: In this paper, we propose a general method to simultaneously identify both unknown time delays and unknown model parameters in delayed dynamical systems based on the autosynchronization technique. The design procedure is presented in detail by constructing a specific Lyapunov function and linearizing the model function with nonlinear parameterization. The obtained result can be directly extended to the identification problem of linearly parameterized dynamical systems. Two typical numerical examples confirming the effectiveness of the identification method are given.

Key words: autosynchronization, parameter identification, delay identification, nonlinear parameterization

中图分类号: (Delay and functional equations)

02.30.Ks

05.45.Tp (Time series analysis) 05.45.Xt (Synchronization; coupled oscillators)

顾卫东, 孙志勇, 吴晓明, 于长斌. Simultaneous identification of unknown time delays and model parameters in uncertain dynamical systems with linear or nonlinear parameterization by autosynchronization[J]. 中国物理B, 2013, 22(9): 90203-090203.

Gu Wei-Dong (顾卫东), Sun Zhi-Yong (孙志勇), Wu Xiao-Ming (吴晓明), Yu Chang-Bin (于长斌). Simultaneous identification of unknown time delays and model parameters in uncertain dynamical systems with linear or nonlinear parameterization by autosynchronization[J]. Chin. Phys. B, 2013, 22(9): 90203-090203.

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Simultaneous identification of unknown time delays and model parameters in uncertain dynamical systems with linear or nonlinear parameterization by autosynchronization

Simultaneous identification of unknown time delays and model parameters in uncertain dynamical systems with linear or nonlinear parameterization by autosynchronization

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