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Parameter estimation for control systems based on impulse responses

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  • Control Theory and Applications
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International Journal of Control, Automation and Systems Aims and scope Submit manuscript

Abstract

The impulse signal is an instant change signal in very short time. It is widely used in signal processing, electronic technique, communication and system identification. This paper considers the parameter estimation problems for dynamical systems by means of the impulse response measurement data. Since the cost function is highly nonlinear, the nonlinear optimization methods are adopted to derive the parameter estimation algorithms to enhance the estimation accuracy. By using the iterative scheme, the Newton iterative algorithm and the gradient iterative algorithm are proposed for estimating the parameters of dynamical systems. Also, a damping factor is introduced to improve the algorithm stability. Finally, using simulation examples, this paper analyzes and compares the merit and weakness of the proposed algorithms.

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Author information

Authors and Affiliations

  1. School of Internet of Things Technology, Wuxi Vocational Institute of Commerce, Wuxi, 214153, P. R. China

    Ling Xu

  2. School of Internet of Things Engineering, Jiangnan University, Wuxi, 214122, P. R. China

    Ling Xu

  3. School of Internet of Things Engineering, Jiangnan University, Wuxi, 214122, P. R. China

    Feng Ding

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  1. Ling Xu
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  2. Feng Ding
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Corresponding author

Correspondence to Feng Ding.

Additional information

Recommended by Associate Editor Tae-Hyoung Kim under the direction of Editor PooGyeon Park. This work was supported by the Science Research of Colleges Universities in Jiangsu Province (No. 16KJB120007, China), Postdoctoral Research Funding Plan in Jiangsu Province (No. 1701020A), and sponsored by Qing Lan Project and the National Natural Science Foundation of China (No. 61293194).

Ling Xu was born in Tianjin, China. She received the Master and Ph.D. degrees from the Jiangnan University (Wuxi, China), in 2005 and 2015. She has been an Associate Professor since 2015. She is a Colleges and Universities “Blue Project” Young Teacher (Jiangsu, China). Her research interests include process control, parameter estimation and signal modeling.

Feng Ding received his B.Sc. degree from the Hubei University of Technology (Wuhan, China) in 1984, and his M.Sc. and Ph.D. degrees both from the Tsinghua University, in 1991 and 1994, respectively. He has been a professor in the School of Internet of Things Engineering at the Jiangnan University (Wuxi, China) since 2004. His current research interests include model identification and adaptive control. He authored four books on System Identification.

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Xu, L., Ding, F. Parameter estimation for control systems based on impulse responses. Int. J. Control Autom. Syst. 15, 2471–2479 (2017). https://doi.org/10.1007/s12555-016-0224-2

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  • DOI: https://doi.org/10.1007/s12555-016-0224-2

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