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Robust adaptive fuzzy control scheme for nonlinear system with uncertainty

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Abstract

In this paper, a robust adaptive fuzzy control scheme for a class of nonlinear system with uncertainty is proposed. First, using prior knowledge about the plant we obtain a fuzzy model, which is called the generalized fuzzy hyperbolic model (GFHM). Secondly, for the case that the states of the system are not available an observer is designed and a robust adaptive fuzzy output feedback control scheme is developed. The overall control system guarantees that the tracking error converges to a small neighborhood of origin and that all signals involved are uniformly bounded. The main advantages of the proposed control scheme are that the human knowledge about the plant under control can be used to design the controller and only one parameter in the adaptive mechanism needs to be on-line adjusted.

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Authors and Affiliations

  1. School of Information Science and Engineering, Northeastern University, Shenyang, Liaoning, 110004, China

    Mingjun Zhang & Huaguang Zhang

  2. Department of electrical Engineering, Beihua University, Jilin, Jilin, 132021, China

    Mingjun Zhang

Authors
  1. Mingjun Zhang
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  2. Huaguang Zhang
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Additional information

This work was supported by the National Natural Science Foundation of China (No. 60325311, 60534010, 60572070), the Foundation for Doctoral Special Branch by the Ministry of Education of China (20011045023) and Shenyang City Science Foundation (1022033-1-07).

Mingjun ZHANG was born in 1966. She received her M.S. degree in the School of Information Science and Engineering, Northeastern University, Shenyang, China, in 1995. She is an professor with the School of Information Science and Engineering, Beihua University Jilin City, China. She is currently working toward the Ph.D in the School of Information Science and Engineering, Northeastern University, Shenyang, China. Her research interests include fuzzy control, adaptive control and nonlinear control.

Huaguang ZHANG was born in 1959. He received the Ph.D. from Southeastern University, China, in 1991. From 1991 to 1993, he was post doctor in Northeastern University, Shenyang, China. Now he is a professor in Northeastern University. His main research interests include fuzzy control, process control, nonlinear control and dynamics of neural networks. He is the senior member of IEEE.

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Zhang, M., Zhang, H. Robust adaptive fuzzy control scheme for nonlinear system with uncertainty. J. Control Theory Appl. 4, 209–216 (2006). https://doi.org/10.1007/s11768-006-5220-2

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  • DOI: https://doi.org/10.1007/s11768-006-5220-2

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