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Adaptive Robust Control for a Class of Uncertain Neutral Systems with Time Delays and Nonlinear Uncertainties

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  • Control Theory and Applications
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Abstract

The problems of robust stabilization and adaptive robust controller design are considered for a class of uncertain neutral systems with time delays and nonlinear uncertainties. In this paper, Pade approximation is used to deal with input-delays, and the adaptation laws are proposed to estimate the norm of the unknown parameter uncertainties. Based on the improved Razumikhin-type theorem and the updated values, a class of delay-independent adaptive robust state feedback controllers is constructed to guarantee the uniform ultimate boundedness of uncertain neutral systems with input-delays and nonlinear uncertainties. Finally, the chemical two-stage dissolution tank is used to illustrate the effectiveness of the proposed method.

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Authors and Affiliations

  1. College of Mechanical and Electrical Engineering, Sichuan Agricultural University, Yaan, 625014, Sichuan, China

    Dequan Zhao, Yuchao Wang & Lijia Xu

  2. Department of Information Science, Prefectural University of Hiroshima, Hiroshima, 734-8558, Japan

    Hansheng Wu

Authors
  1. Dequan Zhao
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  2. Yuchao Wang
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  4. Hansheng Wu
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Correspondence to Yuchao Wang.

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Recommended by Associate Editor Saleh Mobayen under the direction of Editor Myo Taeg Lim.

Dequan Zhao is currently working toward an M.S. degree in the College of Mechanical and Electrical Engineering, Sichuan Agricultural University, China. His current research interests include adaptive robust control, time-delay systems, and mobile robots.

Yuchao Wang received his B.S. degree in automation and electronic engineering, and information science and technology from Qingdao University of Science and Technology, China in 2008, and his M.S. and Ph.D. degrees in management and information systems from Prefectural University of Hiroshima, Japan, in 2012 and 2016, respectively. In July 2016, he joined the College of Mechanical and Electrical Engineering, Sichuan Agricultural University, China, where he is an Associate Professor. His research interests are non-linear systems, uncertain systems, time-delay systems, stochastic systems, adaptive robust control and their applications.

Lijia Xu received her M.S. degree from the Beijing University of Technology, China in 2004, and her Ph.D. degree in automation engineering, University of Electronic Science and Technology of China, in 2009. She is currently working as a Professor in the College of Mechanical and Electrical Engineering, Sichuan Agriculture University, China. Her main research interests include adaptive control, intelligent signal processing, intelligent algorithm and fault diagnosis.

Hansheng Wu received his B.S. and M.S. degrees in automatic control engineering from Northeast University of Technology, China, in 1982 and 1984, respectively, and a Ph.D. degree in information engineering from Hiroshima University, Japan in 1989. He is currently working as a Professor in the Department of Information Science, Prefectural University of Hiroshima, Japan. His research interests include optimal control, dynamical games, large-scale systems, robust control, adaptive control, and their applications.

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Zhao, D., Wang, Y., Xu, L. et al. Adaptive Robust Control for a Class of Uncertain Neutral Systems with Time Delays and Nonlinear Uncertainties. Int. J. Control Autom. Syst. 19, 1215–1227 (2021). https://doi.org/10.1007/s12555-020-0028-2

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  • DOI: https://doi.org/10.1007/s12555-020-0028-2

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