Measuring chaos and synchronization of chaotic satellite systems using sliding mode control. (9th May 2018)

• Record Type: Journal Article
• Authors: Khan, Ayub; Kumar, Sanjay
• Is Part Of: Optimal control applications and methods. Volume 39:Number 5(2018)
• Page Start: 1597
• Page End: 1609
• Publication Date: 2018-05-09
• Subjects: chaos synchronization -- chaotic satellite system -- Lyapunov exponent -- sliding mode control; Control theory -- Periodicals; Mathematical optimization -- Periodicals; 629.8312
• DOI: 10.1002/oca.2428
• Languages: English
• ISSNs: 0143-2087

Abstract

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.