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Chaotic attitude control of satellite using impulsive control

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  • Kemih, Karim
  • Kemiha, Adel
  • Ghanes, Malek

Abstract

Nowadays, attitude control systems of satellites demand better performance, resulting in the application of new advanced nonlinear control theory. In this paper, impulsive control is applied to a six-dimensional system which describes the attitude dynamics of a satellite subjected to deterministic external perturbations which induce chaotic motion when no control is affected. Several theorems on the stability of impulsive control systems are presented. These theorems are then used to find the conditions under which the chaotic systems can be asymptotically controlled to the origin by using impulsive control. Given the parameters of the chaotic system and the impulsive control law, an estimation of the upper bound of the impulse interval is given. Finally, we give some simulations results to visualize the effectiveness and feasibility of the proposed method.

Suggested Citation

  • Kemih, Karim & Kemiha, Adel & Ghanes, Malek, 2009. "Chaotic attitude control of satellite using impulsive control," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 735-744.
    • Handle: RePEc:eee:chsofr:v:42:y:2009:i:2:p:735-744
    DOI: 10.1016/j.chaos.2009.02.004
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    References listed on IDEAS

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    1. Zhang, Rong & Xu, Zhenyuan & Yang, Simon X. & He, Xueming, 2008. "Generalized synchronization via impulsive control," Chaos, Solitons & Fractals, Elsevier, vol. 38(1), pages 97-105.
    2. Shahverdiev, E.M. & Shore, K.A., 2008. "Synchronization in multiple time delay chaotic semiconductor lasers with optoelectronic feedbacks and couplings," Chaos, Solitons & Fractals, Elsevier, vol. 38(5), pages 1298-1304.
    3. Zhang, Xiaohong & Khadra, Anmar & Li, Dong & Yang, Dan, 2009. "Impulsive stability of chaotic systems represented by T-S model," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 1863-1869.
    4. Jiang, Shumin & Tian, Lixin & Wang, Xuedi, 2007. "The control of an optical hyper-chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 34(5), pages 1560-1566.
    5. Chargé, Pascal & Fournier-Prunaret, Danièle & Guglielmi, Véronique, 2008. "Features analysis of a parametric PWL chaotic map and its utilization for secure transmissions," Chaos, Solitons & Fractals, Elsevier, vol. 38(5), pages 1411-1422.
    6. Salmasi, Mehrdad & Modarres-Hashemi, M., 2009. "Design and analysis of fractal detector for high resolution radars," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2133-2145.
    7. Zhang, Yinping & Sun, Jitao, 2009. "Robust synchronization of coupled delayed neural networks under general impulsive control," Chaos, Solitons & Fractals, Elsevier, vol. 41(3), pages 1476-1480.
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    Cited by:

    1. Aslanov, Vladimir S. & Sizov, Dmitry A., 2022. "Chaotic pitch motion of an aerodynamically stabilized magnetic satellite in polar orbits," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    2. Alsaade, Fawaz W. & Yao, Qijia & Bekiros, Stelios & Al-zahrani, Mohammed S. & Alzahrani, Ali S. & Jahanshahi, Hadi, 2022. "Chaotic attitude synchronization and anti-synchronization of master-slave satellites using a robust fixed-time adaptive controller," Chaos, Solitons & Fractals, Elsevier, vol. 165(P2).

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