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Volume 41 Issue 3
Jun.  2012
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LIU Shuguang, SUN Xiuxia, XIE Wujie, DONG Wenhan. Adaptive Dynamic Surface Control for a Class of Pure-Feedback Nonlinear Systems[J]. INFORMATION AND CONTROL, 2012, (3): 301-306. DOI: 10.3724/SP.J.1219.2012.00301
Citation: LIU Shuguang, SUN Xiuxia, XIE Wujie, DONG Wenhan. Adaptive Dynamic Surface Control for a Class of Pure-Feedback Nonlinear Systems[J]. INFORMATION AND CONTROL, 2012, (3): 301-306. DOI: 10.3724/SP.J.1219.2012.00301
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Adaptive Dynamic Surface Control for a Class of Pure-Feedback Nonlinear Systems

  • Engineering College, Air Force Engineering University, Xi'an 710038, China

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  • Received Date: July 10, 2011
  • Revised Date: April 18, 2012
  • Published Date: June 19, 2012
    Graphical Abstract
    • Abstract
  • A novel adaptive dynamic surface control approach is proposed for a class of completely nonaffine pure-feedback nonlinear systems. Based on the mean value theorem, the unknown non-affine input functions are decomposed into new ones with explicit controllable input parameters. The Nussbaum gain function is employed to resolve the unknown gain symbol problem in virtual control, and avoid the possible singularity of the controller in feedback linearization process. The explosion of terms problem in traditional backstepping design is eliminated by utilizing dynamic surface control. Based on Lyapunov stability theorem and decoupled backstepping method, the semi-global stability of the close-loop system is proved. Simulation results show the effectiveness of the proposed approach.
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    • References (11)
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