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Separable Recursive Gradient Algorithm for Dynamical Systems Based on the Impulse Response Signals

  • Control Theory and Applications
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Abstract

The identification for process control systems is considered in this paper based on the impulse response signals from the discrete measurements. By taking advantage of impulse signals and through the model parameter decomposition, two dependent identification models are constructed and two identification sub-algorithms are presented based on the nonlinear gradient optimization. In terms of the associated items of the parameters to be estimated between two derived sub-algorithms, a separable recursive gradient parameter estimation method is proposed by designing an interactive and recursive estimation. The performance tests and the comparison experiments are carried out by the simulation examples.

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Correspondence to Ling Xu or Feng Ding.

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Recommended by Associate Editor M. Chadli under the direction of Editor Jay H. Lee.

This work was supported by the National Natural Science Foundation of China (No. 61873111) and the 111 Project (B12018).

Ling Xu was born in Tianjin, China. She received her Master’s and Ph.D. degrees from the Jiangnan University (Wuxi, China), in 2005 and 2015, respectively. She is a Post-Doctoral Fellow at the Jiangnan University and 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.

Erfu Yang received his B.Eng. and M.Eng. degrees both in Aerospace Propulsion Theory and Engineering from Beijing University of Aeronautics and Astronautics (Beijing, China) and a Ph.D. degree in Robotics from the School of Computer Science and Electronic Engineering at the University of Essex (Colchester, UK) in 2008. He is currently a Lecturer in the Department of Design, Manufacturing and Engineering Management (DMEM), the University of Strathclyde, Glasgow, UK. His main research interests include robotics, mechatronics, machine learning and artificial intelligence, etc. He has published more than 55 journal papers and 10 book chapters. Dr. Yang has been awarded over 15 research grants as PI (principal investigator) or CI (co-investigator). He is the Fellow of the UK Higher Education Academy, member of IEEE and IEEE Society of Robotics and Automation, committee member of the Chinese Automation and Computing Society in the UK (CACSUK), and the IET SCOTLAND Manufacturing Technical Network. He is also an associate editor for the Cognitive Computation journal published by Springer.

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Xu, L., Ding, F. & Yang, E. Separable Recursive Gradient Algorithm for Dynamical Systems Based on the Impulse Response Signals. Int. J. Control Autom. Syst. 18, 3167–3177 (2020). https://doi.org/10.1007/s12555-019-0940-5

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