Measure of chaos and adaptive synchronization of chaotic satellite systems

Khan, Ayub; Kumar, Sanjay

doi:10.1007/s40435-018-0481-4

Cited by 22 publications

(19 citation statements)

References 17 publications

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“…On the contrary, chaotic dynamics arising from satellite models have been reported by many researchers [34][35][36][37][38]. In [39], Khan and Kumar reported that chaotic dynamics from a mathematical model of satellite consists of the 3D integerorder system. In addition, Khan and Kumar investigated the chaotic integer-order satellite (IOS) system based on T-S fuzzy modeling [40].…”

Section: Introductionmentioning

confidence: 99%

Chaotic Dynamics and Chaos Control in a Fractional-Order Satellite Model and Its Time-Delay Counterpart

Sayed

Matouk

Kumar

et al. 2021

Discrete Dynamics in Nature and Society

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Fractional analysis provides useful tools to describe natural phenomena, and therefore, it is more convenient to describe models of satellites. This work illustrates rich chaotic behaviors that exist in a fractional-order model for satellite with and without time-delay. The proof for existence and uniqueness of the satellite model’s solution with and without time-delay is shown. Chaos control is achieved in this system via a simple linear feedback control criterion. Chaotic attractors and chaos control are also found in a time-delay version of the proposed fractional-order satellite system. Various tools based on numerical simulations such as 2D and 3D attractors and bifurcation diagrams are used to illustrate the variety of rich chaotic dynamics in the satellite models.

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Section: Introductionmentioning

confidence: 99%

Chaotic Dynamics and Chaos Control in a Fractional-Order Satellite Model and Its Time-Delay Counterpart

Sayed

Matouk

Kumar

et al. 2021

Discrete Dynamics in Nature and Society

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“…Using the Lyapunov direct theorem, Khan and Kumar 44 designed a sliding mode control strategy that synchronizes two identical uncertain CS systems. Khan and Kumar 45 further investigated the results in Khan and Kumar 44 utilizing the adaptive control technique. Based on the Takagi-Sugeno fuzzy modeling and using the linear matrix inequality technique, Khan and Kumar 46 proposed a predictive feedback controller to stabilize and synchronize chaos in the CS system.…”

Section: Introductionmentioning

confidence: 99%

Synchronization control of externally disturbed chaotic spacecraft in pre-assigned settling time

Ahmad¹,

Shafiq

2021

Proceedings of the Institution of Mechanical Engineers, Part I:

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This article reports the design of a novel finite-time robust nonlinear controller for the synchronization of two identical chaotic spacecraft. The proposed controller does not cancel nonlinear terms appearing in the chaotic spacecraft dynamics. Avoiding the cancelation of the nonlinear terms of the plant by the controller makes the closed-loop robust stable in the presence of uncertainties in the chaotic spacecraft parameters; this concept blooms base for the design of computationally efficient simple control law. The proposed finite-time robust nonlinear controller (1) synchronizes two nearly identical chaotic spacecraft in finite-time duration, (2) expedites the convergence of errors vector to zero without oscillation, and (3) eradicates the effects of external disturbances. Analysis based on the Lyapunov second theorem proves that the synchronization error converges fast and verifying the closed-loop’s robust global stability. The finite-time stability technique affirms the convergence of the synchronization error to zero in settling time. This research article also studies the effects of the exogenous disturbances and the controller parameter’s slowly smooth variations on the closed-loop performance. The controller parameter variation analysis sets the procedure for tuning the controller parameters. The computer-based simulation results validate the theoretical findings and provide a comparative performance analysis with the other recently proposed synchronization feedback controllers. This article uses Mathematica 12.0 version in the Microsoft 10 environment for all the simulations.

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“…20,21 Satellite acts an important role in the orbits for space technology progresses, military, civil, and scientific activities. A few techniques and methodologies to synchronize and control the satellite systems have been used particularly, predictive control, adaptive control and sliding mode control, [22][23][24][25][26] etc. Synchronization of noninteger order satellite system having momentum-based system are a tedious subject.…”

Section: Introductionmentioning

confidence: 99%

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

Kumar

MatoukAhmed

ChaudharyHarindri

et al. 2020

Adaptive Control & Signal

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In this article, we present the basic concepts of fractional calculus and control and synchronization of fractional-order chaotic satellite system . Existence and uniqueness solutions of fractional-order satellite system are discussed and local stability of the system at the equilibrium points are studied. The lowest dimension of chaotic attractor of satellite system is 2.88 which is obtained through utilization of the fractional dynamics and computational simulation. Lyapunov exponents and bifurcation diagrams are drawn to measure the existence of chaos in the system. Feedback control method for chaos control in the fractional-order satellite system is achieved. Synchronization of two identical noninteger order chaotic satellite systems are achieved through adaptive control methodology.

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Measure of chaos and adaptive synchronization of chaotic satellite systems

Cited by 22 publications

References 17 publications

Chaotic Dynamics and Chaos Control in a Fractional-Order Satellite Model and Its Time-Delay Counterpart

Chaotic Dynamics and Chaos Control in a Fractional-Order Satellite Model and Its Time-Delay Counterpart

Synchronization control of externally disturbed chaotic spacecraft in pre-assigned settling time

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

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