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Adaptive backstepping controller design for nonlinear uncertain systems using fuzzy neural systems

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  • Ching-Hung Lee
  • Bo-Ren Chung

Abstract

In this article, we propose an adaptive backstepping control scheme using fuzzy neural networks (FNNs), ABCFNN, for a class of nonlinear non-affine systems in non-triangular form. The nonlinear non-affine system contains the uncertainty, external disturbance or parameters variations. Two kinds of FNN systems are used to estimate the unknown system functions. According to the FNN estimations, the adaptive backstepping control (ABCFNN) signal can be generated by backstepping design procedure such that the system output follows the desired trajectory. To ensure robustness and performance, a proportional-integral-surface function and robust controller are designed to improve the control performance. Based on the Lyapunov stability theory, the stability of a closed-loop system is guaranteed and the adaptive laws of the FNN parameters are obtained. This approach is also valid for nonlinear affine system with uncertainty or disturbance. The uncertainty and disturbance terms are estimated by FNNs and treated by the ABCFNN scheme. Finally, the effectiveness of the proposed ABCFNN is demonstrated through the simulation of controlling a nonlinear non-affine system and the continuously stirred tank reactor plant to demonstrate the performances of our approach.

Suggested Citation

  • Ching-Hung Lee & Bo-Ren Chung, 2012. "Adaptive backstepping controller design for nonlinear uncertain systems using fuzzy neural systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 43(10), pages 1855-1869.
  • Handle: RePEc:taf:tsysxx:v:43:y:2012:i:10:p:1855-1869
    DOI: 10.1080/00207721.2011.554915
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    Cited by:

    1. Yan-Si Lin & Chih-Chiang Cheng, 2016. "Design of block backstepping controllers for a class of perturbed multiple inputs and state-delayed systems in semi-strict-feedback form," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(6), pages 1296-1311, April.
    2. Xinjin Liu & Yun Zou, 2014. "The global convergence analysis of a class of nonlinear network systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 45(5), pages 970-976, May.
    3. Tarek Abedin & M. Shahadat Hossain Lipu & Mahammad A. Hannan & Pin Jern Ker & Safwan A. Rahman & Chong Tak Yaw & Sieh K. Tiong & Kashem M. Muttaqi, 2021. "Dynamic Modeling of HVDC for Power System Stability Assessment: A Review, Issues, and Recommendations," Energies, MDPI, vol. 14(16), pages 1-25, August.
    4. Yongming Li & Shaocheng Tong, 2016. "Adaptive fuzzy switched control design for uncertain nonholonomic systems with input nonsmooth constraint," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(14), pages 3436-3446, October.

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