Adaptive backstepping Control of uncertain Lorenz System

  title={Adaptive backstepping Control of uncertain Lorenz System},
  author={C. Wang and Shuzhi Sam Ge},
  journal={I. J. Bifurcation and Chaos},
In this paper, we consider the problem of controlling chaos in the well-known Lorenz system. Firstly we show that the Lorenz system can be transformed into a kind of nonlinear system in the so-called general strict-feedback form. Then, adaptive backstepping design is used to control the Lorenz system with three key parameters unknown. By exploiting the property of the system, the resulting controller is singularity free, and the closed-loop system is stable globally. Simulation results are… CONTINUE READING
Highly Cited
This paper has 61 citations. REVIEW CITATIONS

From This Paper

Figures, tables, and topics from this paper.
28 Citations
14 References
Similar Papers


Publications citing this paper.
Showing 1-10 of 28 extracted citations

61 Citations

Citations per Year
Semantic Scholar estimates that this publication has 61 citations based on the available data.

See our FAQ for additional information.


Publications referenced by this paper.
Showing 1-10 of 14 references

Adaptive control of uncertain Chua’s circuits,

  • S. S. Ge, C. Wang
  • IEEE Trans. Circ. Syst. I: Fundamental Th. Appl.,
  • 2000
1 Excerpt

Introduction to Control of Oscillations and Chaos (World Scientific, Singapore)

  • A. L. Fradkov, Pogromsky, A. Yu
  • 1998

Observer-based approach for controlling chaotic systems,

  • T. L. Liao
  • Phys. Rev
  • 1998
1 Excerpt

Adaptive control of chaos in Lorenz system,

  • Y. Zeng, S. N. Singh
  • Dyn. Contr
  • 1997
1 Excerpt

Robust control of the chaotic Lorenz system,

  • H. Lenz, D. Obradovic
  • Int. J. Bifurcation and Chaos
  • 1997
3 Excerpts

Nonlinear and Adaptive Control Design (John Wiley, NY)

  • M. Krstic, I. Kanellakopoulos, P. Kokotovic
  • 1995
2 Excerpts

Nonlinear regulation of a Lorenz system by feedback linearization techniques,

  • J. A. Gallegos
  • Dyn. Contr
  • 1994
1 Excerpt

Similar Papers

Loading similar papers…