Nonlinear Analysis and Attitude Control of a Gyrostat Satellite with Chaotic Dynamics Using Discrete‐Time LQR‐OGY

Abtahi, Mitra; Sadati, Seyed Hossein; Salarieh, Hassan

doi:10.1002/asjc.1278

Cited by 10 publications

(15 citation statements)

References 25 publications

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“…It means the stretching, folding, and compressing of the trajectories show the occurrence of chaos in the system. On the other hand, the dynamical system can depict the hyper chaotic behavior, because the two variables of the system have the positive largest Lyapunov exponent [5][6][7][8][9].…”

Section: Chaos Analysis In the Open-loop Systemmentioning

confidence: 99%

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Suppression of chaotic vibrations in suspension system of vehicle dynamics using chattering-free optimal sliding mode control

Abtahi

2019

J Braz. Soc. Mech. Sci. Eng.

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In this wok, chaos analysis along with chaos control is studied in vertical model of the vehicle system. The chaotic behavior has been demonstrated in the suspension system under the specific initial conditions, values of parameters, and profile of road roughness. In order to analyze chaos in the dynamical model, the power spectrum density and Lyapunov exponent methods are used. Moreover, the phase portrait and Poincare' sections of the simulations verify numerically chaos in uncontrolled system. For the purpose of chaos control, a novel optimal sliding mode control strategy is designed for stabilization of the system's behavior via the semi-active suspension using MR fluid damper. As results, the optimal sliding mode control eliminates the chattering phenomenon in the responses and suppresses the chaotic oscillations in comparison with ordinary sliding mode control system. Responses of the feedback system depict the far-better performance of the proposed optimal sliding mode control from the viewpoint of reducing the settling time, overshoot, energy, and amortization in the suspension system.

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Section: Chaos Analysis In the Open-loop Systemmentioning

confidence: 99%

“…In the vibrational analysis of bounce motion, first problem is the distinction of chaotic vibrations from the stochastic oscillations. For this purpose, chaotic behaviors can be proved using the mathematical and numerical methods for instance power spectrum density, Lyapunov exponent, and Poincare' sections [6][7][8][9].…”

Section: Introductionmentioning

confidence: 99%

Suppression of chaotic vibrations in suspension system of vehicle dynamics using chattering-free optimal sliding mode control

Abtahi

2019

J Braz. Soc. Mech. Sci. Eng.

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“…For similar types of investigations we refer to [1,[32][33][34][35][36][37][38][39][40][41] for controlling chaos in discrete-time population models. For some other applications related to chaos control, see also [51][52][53][54][55][56][57][58][59][60][61][62].…”

Section: Chaos Controlmentioning

confidence: 99%

Controlling Chaos and Neimark–Sacker Bifurcation in a Host–Parasitoid Model

Din¹,

Hussain²

2018

Asian Journal of Control

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In this paper, a new density-dependent host-parasitoid model is proposed. The modification is based on density-dependent factor by introducing Hassell growth function in host population. Moreover, the permanence of solutions, existence and uniqueness of positive equilibrium, local asymptotic stability and global behavior of the positive equilibrium point are also investigated. It is demonstrated that system endures Neimark-Sacker bifurcation for wide range of bifurcation parameter. In order to control chaos due to emergence of Neimark-Sacker bifurcation, two feedback control strategies, that is, OGY and hybrid control methods are implemented. Finally, all mathematical analysis, particularly, Neimark-Sacker bifurcation, chaos control strategies, and global asymptotic stability of unique positive point are verified with the help of numerical simulations.

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“…Chen and Liu [105] applied the linear feedback method to control chaotic attitude motions of a magnetic rigid spacecraft with internal damping to the given fixed point. Abtahi et al [106] investigated control of chaos for a Gyrostat satellite and designed OGY based method by using the linearization of the Poincaré map for suppression of chaos. Faramin and Ataei [107] investigated chaotic attitude maneuvers in a satellite for a range of parameters and designed back-stepping sliding mode method to ensure chaos suppression and achieve desired performance.…”

Section: Possible Applications Of Directing Chaotic Orbitsmentioning

confidence: 99%

Optimal targeting of nonlinear chaotic systems using a novel evolutionary computing strategy

Wang¹,

Lyu

et al. 2016

Knowledge-Based Systems

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Control of chaotic systems to given targets is a subject of substantial and well-developed research issue in nonlinear science, which can be formulated as a class of multi-modal constrained numerical optimization problem with multi-dimensional decision variables. This investigation elucidates the feasibility of applying a novel population-based metaheuristics labelled here as Teaching-learning-based optimization to direct the orbits of discrete chaotic dynamical systems towards the desired target region. Several consecutive control steps of small bounded perturbations are made in the Teaching-learning-based optimization strategy to direct the chaotic series towards the optimal neighborhood of the desired target rapidly, where a conventional controller is effective for chaos control. Working with the dynamics of the well-known Hénon as well as Ushio discrete chaotic systems, we assess the effectiveness and efficiency of the Teaching-learning-based optimization based optimal control technique, meanwhile the impacts of the core parameters on performances are also discussed.Furthermore, possible engineering applications of directing chaotic orbits are discussed. Keywords:Chaos control; chaotic dynamics; optimization; computational intelligence;Teaching-learning-based optimization Highlights► Control of chaotic systems is formulated as constrained optimization problem.► Teaching-learning-based optimization is to direct the chaotic series.► The efficacy of TLBO based optimal control technique have been demonstrated.

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Nonlinear Analysis and Attitude Control of a Gyrostat Satellite with Chaotic Dynamics Using Discrete‐Time LQR‐OGY

Cited by 10 publications

References 25 publications

Suppression of chaotic vibrations in suspension system of vehicle dynamics using chattering-free optimal sliding mode control

Suppression of chaotic vibrations in suspension system of vehicle dynamics using chattering-free optimal sliding mode control

Controlling Chaos and Neimark–Sacker Bifurcation in a Host–Parasitoid Model

Optimal targeting of nonlinear chaotic systems using a novel evolutionary computing strategy

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