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Multifarious Chaotic Attractors and Its Control in Rigid Body Attitude Dynamical System

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  • Yang Wang
  • Zhen Wang
  • Dezhi Kong
  • Lingyun Kong
  • Yukun Qiao

Abstract

The Euler dynamical equation which describes the attitude motion of a rigid body will exhibit very complex dynamic behaviors under the action of different external torques. Many special types of new chaotic attractors are presented, including hidden attractors, double-body-double-core chaotic attractors, and single-body-three-core-tree-wing chaotic attractors. The position of equilibrium points in several typical cases of the Euler dynamic equation is solved, and the stability of linearized equation at each equilibrium point and its influence on the formation of the chaotic attractor are analyzed. An improved nonlinear relay control law based on Euler angle feedback is developed to stabilize a new chaotic spacecraft attitude motion to an appointed equilibrium point or a periodic orbit.

Suggested Citation

  • Yang Wang & Zhen Wang & Dezhi Kong & Lingyun Kong & Yukun Qiao, 2020. "Multifarious Chaotic Attractors and Its Control in Rigid Body Attitude Dynamical System," Mathematical Problems in Engineering, Hindawi, vol. 2020, pages 1-11, November.
    • Handle: RePEc:hin:jnlmpe:5958768
    DOI: 10.1155/2020/5958768
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    Cited by:

    1. Wang, Yang & Li, Huanyun & Guan, Yan & Chen, Mingshu, 2022. "Predefined-time chaos synchronization of memristor chaotic systems by using simplified control inputs," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).

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