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Chaotifying The Controllable Linear System Via Single Input State Feedback

Author

Listed:
  • ZHENG MAO WU

    (Department of Automation, Shanghai Jiaotong University, Shanghai, 200030, P. R. China)

  • JUN GUO LU

    (Department of Automation, Shanghai Jiaotong University, Shanghai, 200030, P. R. China)

  • JIAN YING XIE

    (Department of Automation, Shanghai Jiaotong University, Shanghai, 200030, P. R. China)

  • JIE LI

    (Department of Automation, Shanghai Jiaotong University, Shanghai, 200030, P. R. China)

Abstract

An approach for chaotifying a stable controllable linear system via single input state-feedback is presented. The feedback controller designed is a sawtooth function of the system states, which can make the fixed point of the closed-loop system to be a snap-back repeller, thereby yielding chaotic dynamics. Based on the Marotto theorem, it is proven theoretically that the closed-loop system is chaotic in the sense of Li and Yorke. Finally, the simulation results are used to illustrate the effectiveness of the proposed theory.

Suggested Citation

  • Zheng Mao Wu & Jun Guo Lu & Jian Ying Xie & Jie Li, 2006. "Chaotifying The Controllable Linear System Via Single Input State Feedback," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 17(07), pages 1027-1035.
    • Handle: RePEc:wsi:ijmpcx:v:17:y:2006:i:07:n:s0129183106009114
    DOI: 10.1142/S0129183106009114
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