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Robust adaptive backstepping control of uncertain lorenz system [electronic resource]

Nejat Pishkenari, H. (Hossein) ; Sharif University of Technology

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  1. Type of Document: Article
  2. DOI: 10.1063/1.3383655
  3. Abstract:
  4. In this paper, a novel robust adaptive control method is proposed for controlling the Lorenz chaotic attractor. A new backstepping controller for the Lorenz system based on the Lyapunov stability theorem is proposed to overcome the singularity problem that appeared in using the typical backstepping control method. By exploiting the property of the system, the resulting controller is shown to be singularity free and the closed loop system is globally stable. Due to unavailability of system states measurement in practice, the controller is selected such that only one system state is needed. To overcome the problem of parameter uncertainty, an additional term to Lyapunov function is added and an identification scheme is adopted to have a negative definite Lyapunov function derivative. The simulation results demonstrate the effectiveness of the proposed controllers and approaches
  5. Keywords:
  6. Adaptive control ; Chaos ; Closed loop systems ; Identification ; Lyapunov methods ; Nonlinear control systems ; Robust control ; Uncertain systems ; Control theory
  7. Source: Journal of American Institute of Physics ; 2010, Vol. 20, pp. 1-5
  8. URL: http://scitation.aip.org/content/aip/journal/chaos/20/2/10.1063/1.3383655