Measuring chaos and synchronization of chaotic satellite systems using sliding mode control

Abstract

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 KY = 2.1915, which ensures the strange behavior of the system. The qualitative and simulated results are in an excellent agreement.

Control and synchronization of fractional‐order chaotic satellite systems using feedback and adaptive control techniques

“…Goeree and Fasse 34 have made deliberation in their papers on sliding mode attitude control of a small satellite for ground tracking maneuvers. Khan and Kumar 35,36 have measured the chaos in satellite systems as well as they have established the synchronization of chaotic satellite systems using sliding mode control techniques. Further, a lot of work will be needed to investigate this model in the fractional-order form to obtain the robustness and desired results.…”

Event‐triggered H∞ synchronization control for switched master‐slave systems subject to stochastic cyber attacks and quantization

“…Synchronization is a ubiquitous phenomenon in nature and society, which has numerous practical applications. The problem of synchronization existing in various control systems has attracted attention in recent years . Many progress has been made in this field.…”

“…The problem of synchronization existing in various control systems has attracted attention in recent years. [1][2][3] Many progress has been made in this field. For example, the stability for arrays of coupled systems is fully discussed, and the state of each subsystem is tracked by the remaining subsystems.…”

Oscillation free robust adaptive synchronization of chaotic systems with parametric uncertainties

“…In the chaotic synchronization, a properly synthesized control signal compels the response (slave) system to follow the drive (master) system (Pecora and Carroll, 1990), in response, these two systems demonstrate similar behavior after the transient. Chaotic synchronization has found successful applications in physical systems (Aghababa and Aghababa, 2012a; Aghababa and Aghababa, 2013; Kim and Choi, 2014), wireless sensor networks (Vaseghi et al, 2018), aerospace technology (Khan and Kumar, 2018), medical cyber-physical system (Liu et al, 2019), and SC systems (Bettayeb et al, 2018), among others. Since, chaotic systems owe complex dynamical behavior, they are highly sensitive to the initial conditions and parameter variations.…”