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Measuring chaos and synchronization of chaotic satellite systems using sliding mode control
Author(s) -
Khan Ayub,
Kumar Sanjay
Publication year - 2018
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/oca.2428
Subject(s) - lyapunov exponent , synchronization of chaos , equilibrium point , jacobian matrix and determinant , control theory (sociology) , chaotic , satellite , synchronization (alternating current) , mathematics , eigenvalues and eigenvectors , poincaré map , bifurcation , computer science , statistical physics , physics , mathematical analysis , topology (electrical circuits) , nonlinear system , control (management) , astronomy , artificial intelligence , quantum mechanics , combinatorics , differential equation
Summary In this paper, we measure the chaotic behavior for satellite system through the dissipation, equilibrium points, bifurcation diagrams, Poincare section maps, Lyapunov exponents, and Kaplan‐Yorke dimension. We observe the qualitative behavior of satellite systems through these tools to justify the chaos in the system. Synchronization for 2 identical satellite systems using slide mode control is presented. We estimate the equilibrium points of chaotic satellite system. At each equilibrium point, we obtain the eigenvalues of Jacobian matrix of satellite system and verify the unstable region. We calculate Kaplan‐Yorke dimension, ie, D K Y =2.1915, which ensures the strange behavior of the system. The qualitative and simulated results are in an excellent agreement.