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Observer and descriptor satisfying incremental quadratic constraint for class of chaotic systems and its applications in a quadrotor chaotic system

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  • Sabir, Muhammad
  • Marwan, Muhammad
  • Ahmad, Salman
  • Fiaz, Muhammad
  • Khan, Farhan

Abstract

A drone based on four rotors is considered in this research paper. Its chaotic solution is shown bounded in an inscribed sphere whose vertices are tangent to faces of octahedron. Based on concept of constrained optimization; Linear Matrix Inequalities (LMIs) satisfying quadratic constraint increment multiplier matrix σm, state observers and descriptors with estimated parameter is calculated. Moreover, an image file is decrypted by designing description for mentioned chaotic system and then encrypted on its receiver end. Furthermore, an electric circuit is designed for chaotic quadrotor using LTspice and is fitted into wireless flying robot to observe its dynamics in bounded rectangular region.

Suggested Citation

  • Sabir, Muhammad & Marwan, Muhammad & Ahmad, Salman & Fiaz, Muhammad & Khan, Farhan, 2020. "Observer and descriptor satisfying incremental quadratic constraint for class of chaotic systems and its applications in a quadrotor chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 137(C).
    • Handle: RePEc:eee:chsofr:v:137:y:2020:i:c:s0960077920302745
    DOI: 10.1016/j.chaos.2020.109874
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    References listed on IDEAS

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    1. Arman Nedjati & Bela Vizvari & Gokhan Izbirak, 2016. "Post-earthquake response by small UAV helicopters," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 80(3), pages 1669-1688, February.
    2. Haiyun Bi & Guoyuan Qi & Jianbing Hu, 2019. "Modeling and Analysis of Chaos and Bifurcations for the Attitude System of a Quadrotor Unmanned Aerial Vehicle," Complexity, Hindawi, vol. 2019, pages 1-16, October.
    3. Nasr, Salah & Mekki, Hassen & Bouallegue, Kais, 2019. "A multi-scroll chaotic system for a higher coverage path planning of a mobile robot using flatness controller," Chaos, Solitons & Fractals, Elsevier, vol. 118(C), pages 366-375.
    4. Arman Nedjati & Bela Vizvari & Gokhan Izbirak, 2016. "Post-earthquake response by small UAV helicopters," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 80(3), pages 1669-1688, February.
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    Cited by:

    1. Muhammad Marwan & Vagner Dos Santos & Muhammad Zainul Abidin & Anda Xiong, 2022. "Coexisting Attractor in a Gyrostat Chaotic System via Basin of Attraction and Synchronization of Two Nonidentical Mechanical Systems," Mathematics, MDPI, vol. 10(11), pages 1-15, June.

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