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

Muhammad Sabir; Muhammad Marwan; Salman Ahmad; Muhammad Fiaz; Farhan Khan

doi:10.1016/j.chaos.2020.109874

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

Chaos Solitons Fractals. 2020 Aug:137:109874. doi: 10.1016/j.chaos.2020.109874. Epub 2020 May 18.

Authors

Muhammad Sabir¹, Muhammad Marwan¹, Salman Ahmad¹, Muhammad Fiaz¹, Farhan Khan²

Affiliations

¹ Institute of Space Technology, Islamabad, Pakistan.
² Department of Mechanical Engineering, University of Engineering and Technology, Peshawar, Pakistan.

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 σ_m , 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.

Keywords: Chaotic system; Incremental quadratic constraints; Linear Matrix Inequalities; Observer design; Robotics; Secure communication; Synchronization.