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Adaptive Dynamic Surface Control for a Class of Nonlinear Pure-Feedback Systems with Parameter Drift

Author

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  • Cheng He
  • Jian Wu
  • Jin Ying
  • Jiyang Dai
  • Zhe Zhang
  • Liangxing Jiang

Abstract

In order to solve the problem of unknown parameter drift in the nonlinear pure-feedback system, a novel nonlinear pure-feedback system is proposed in which an unconventional coordinate transformation is introduced and a novel unconventional dynamic surface algorithm is designed to eliminate the problem of “calculation expansion” caused by the use of backstepping in the pure-feedback system. Meanwhile, a sufficiently smooth projection algorithm is introduced to suppress the parameter drift in the nonlinear pure-feedback system. Simulation experiments demonstrate that the designed controller ensures the global and ultimate boundedness of all signals in the closed-loop system and the appropriate designed parameters can make the tracking error arbitrarily small.

Suggested Citation

  • Cheng He & Jian Wu & Jin Ying & Jiyang Dai & Zhe Zhang & Liangxing Jiang, 2020. "Adaptive Dynamic Surface Control for a Class of Nonlinear Pure-Feedback Systems with Parameter Drift," Mathematical Problems in Engineering, Hindawi, vol. 2020, pages 1-11, January.
    • Handle: RePEc:hin:jnlmpe:3628658
    DOI: 10.1155/2020/3628658
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