Adaptive Backstepping control of chaotic system with uncertain parameters

Qiang Chen*, Xue Mei Ren, Jing Na

*Corresponding author for this work

Research output: Contribution to journalArticle (Academic Journal)peer-review

12 Citations (Scopus)


An error-compensation based Backstepping control scheme is proposed for a new uncertain chaotic system. An error compensation item is developed in the virtual control design of each Backstepping step to compensate the effect of unknown error dynamics on control such that more smooth process of chaos stabilization is obtained, and the speed of parameter identification is improved. Based on Lyapunov theorem, all signals in the controlled chaotic system are guaranteed to be uniformly bounded. Simulation studies for contrast are provided and the results show that the proposed method can obtain better transient response performance.

Original languageEnglish
Pages (from-to)158-162
Number of pages5
JournalBeijing Ligong Daxue Xuebao/Transaction of Beijing Institute of Technology
Issue number2
Publication statusPublished - 1 Feb 2011


  • Adaptive control
  • Backstepping design
  • Parameter identification
  • Uncertain chaotic system


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