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Coupled stochastic gradient identification algorithms for multivariate output-error systems using the auxiliary model

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  • Control Theory and Applications
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Abstract

This paper considers the gradient based identification problem of a multivariate output-error system. By using the auxiliary model identification idea and the coupling identification concept, an auxiliary model based stochastic gradient (AM-SG) algorithm and a coupled AM-SG algorithm are presented. The results indicate that the parameter estimation errors converge to zero under the persistent excitation conditions. The simulation examples confirm the theoretical results.

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Author information

Authors and Affiliations

  1. Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), School of Internet of Things Engineering, Jiangnan University, Wuxi, 214122, PR China

    Wu Huang & Feng Ding

  2. NAAM Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia

    Tasawar Hayat & Ahmed Alsaedi

  3. Department of Mathematics, Quaid-I-Azam University, Islamabad, Pakistan

    Tasawar Hayat

Authors
  1. Wu Huang
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  2. Feng Ding
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  3. Tasawar Hayat
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  4. Ahmed Alsaedi
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Corresponding author

Correspondence to Feng Ding.

Additional information

Recommended by Associate Editor Sung Jin Yoo under the direction of Editor Duk-Sun Shim. This work was supported by the National Natural Science Foundation of China (No. 61273194) and the 111 Project (No. B12018).

Wu Huang was born in Huanggang (Hubei Province, China) in 1992. She received her B.Sc degree in the School of Electrical Engineering and Automation from Jingchu University of Technology (Jingmen, China) in 2015. She is currently a master student in the School of Internet of Things Engineering at the Jiangnan University (Wuxi, China). Her research interests include system Identification and process control.

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.

Tasawar Hayat was born in Khanewal, Punjab, Distinguished National Professor and Chairperson of Mathematics Department at Quaid-I-Azam University is renowned worldwide for his seminal, diversified and fundamental contributions in models relevant to physiological systems, control engineering, climate change, renewable energy, low-carbon technologies, environmental issues, non-Newtonian fluids, wave mechanics, homotopic solutions, stability, nanofluids and in several other areas. He has a honor of being fellow of Pakistan Academy of Sciences, Third World Academy of Sciences (TWAS) and Islamic World Academy of Sciences in the mathematical Sciences. His national and international recognition is evident by the membership of international and national Committees, leadership and motivation, numerous scholarships and fellowships, conducted research projects, convened many national and international conferences, seminars delivered and attended conferences the world over, established research collaboration with leading international scientists, associate editor/editorial membership of the international journals including ISI, reviewer of the international journals and MS and PhD students produced. His publications in diverse areas are in high impact factor journals. His research work has total ISI WEB citations (11730) and h-index (52) at present. He has received many national and international awards including Tamgha-i-Imtiaz, Sitara-i-Imtiaz, Khwarizmi Int. award, ISESCO Int. award, TWAS prize for young scientists, Alexander-Von-Humboldt fellowship etc.

Ahmed Alsaedi obtained his Ph.D. degree from Swansea University (UK) in 2002. He has a broad experience of research in applied mathematics. His fields of interest include dynamical systems, nonlinear analysis involving ordinary differential equations, fractional differential equations, boundary value problems, mathematical modeling, biomathematics, Newtonian and Non-Newtonian fluid mechanics. He has published several articles in peer-reviewed journals. He has supervised several M.S. students and executed many research projects successfully. He is a reviewer of several international journals. He served as the chairman of the mathematics department at KAU and presently he is serving as director of the research program at KAU. Under his great leadership, this program is running quite successfully and it has attracted a large number of highly rated researchers and distinguished professors from all over the world. He is also the head of NAAM international research group at KAU.

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Huang, W., Ding, F., Hayat, T. et al. Coupled stochastic gradient identification algorithms for multivariate output-error systems using the auxiliary model. Int. J. Control Autom. Syst. 15, 1622–1631 (2017). https://doi.org/10.1007/s12555-016-0454-3

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  • DOI: https://doi.org/10.1007/s12555-016-0454-3

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