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The direct adaptive control based on the singularly perturbed model with the unknown consequence parameters

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Abstract

A class of nonlinear singularly perturbed systems can be approximated by the Fuzzy Singularly Perturbed Model (FSPM).This paper proposes a new direct adaptive controller on the basis of the FSPM. The aim is to make the states of the closed-loop system follow those of the reference model. The feedback gains of the controller can be adjusted on line; and we don’t require the parameters known in prior. Lyapunov constitute techniques are used to prove the stability of the closed loop systems. Finally the simulations illustrate the effectiveness of this approach.

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Authors and Affiliations

  1. College of Computer and Information Engineering, Tianjin Normal University, Tianjin, 300387, P. R. China

    Li Li

  2. Dept. of Computer Science and Technology, State Key Lab of Intelligent Technology & Systems, Tsinghua University, Beijing, 100084, P. R. China

    Fuchun Sun

Authors
  1. Li Li
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  2. Fuchun Sun
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Correspondence to Li Li.

Additional information

Recommended by Editorial Board member Sergey Nersesov under the direction of Editor Young Il Lee. This work was jointly supported by the National Science Fund for Distinguished Young Scholars (Grant No: 60625304), by a grant from National Laboratory of Space Intelligent Control and by the Scholar Hunted Fund of Tianjin Normal University (No: 5RL072).

Li Li was born in Shandong Province, China, in 1978. She received her B.S. and M.S. degrees from Shandong Architecture Engineering College and Northwest Polytechnical University in 2000 and 2003, respectively, and her Ph.D. degree from the Department of Computer Science and Technology, Tsinghua University in 2008. She currently works in College of Computer and Information Engineering, Tianjin Normal University. Her research interests include intelligent control, fuzzy systems, and adaptive control.

Fuchun Sun was born in Jiangsu Province, China, in 1964. He received his B.S. and M.S. degrees from Naval Aeronautical Engineering Academy, Yantai, China, in 1986 and 1989, respectively, and his Ph.D. degree from the Department of Computer Science and Technology, Tsinghua University in 1998. He worked over four years for the Department of Automatic Control at Naval Aeronautical Engineering Academy. From 1998 to 2000 he was a Postdoctoral Fellow of the Department of Automation at Tsinghua University. Now he is a Professor in the Department of Computer Science and Technology, Tsinghua University. His research interests include intelligent control, networked control system and management, neural networks, fuzzy systems, nonlinear systems and robotics. He has authored or coauthored two books and over 100 papers which have appeared in various journals and conference proceedings.

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Li, L., Sun, F. The direct adaptive control based on the singularly perturbed model with the unknown consequence parameters. Int. J. Control Autom. Syst. 8, 238–243 (2010). https://doi.org/10.1007/s12555-010-0208-6

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  • DOI: https://doi.org/10.1007/s12555-010-0208-6

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