Hopf bifurcation analysis for liquid-filled Gyrostat chaotic system and design of a novel technique to control slosh in spacecrafts

In this article, a fuel tank is coupled with gyrostat in a moving spacecraft to discuss its dynamical behaviour and bringing stability in velocity vectors. Parametric study is performed using Hopf bifurcation to find the bifurcation parameter for a considered mechanical model. Furthermore, a region...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autores principales:	Sabir Muhammad, Ahmad Salman, Marwan Muhammad
Formato:	article
Lenguaje:	EN
Publicado:	De Gruyter 2021
Materias:	autonomous dynamical system hopf bifurcation active control adaptive control stability Physics QC1-999
Acceso en línea:	https://doaj.org/article/78d1c353382a45ec87ffac988b9aa5cd
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:doaj.org-article:78d1c353382a45ec87ffac988b9aa5cd
record_format	dspace
spelling	oai:doaj.org-article:78d1c353382a45ec87ffac988b9aa5cd2021-12-05T14:11:02ZHopf bifurcation analysis for liquid-filled Gyrostat chaotic system and design of a novel technique to control slosh in spacecrafts2391-547110.1515/phys-2021-0058https://doaj.org/article/78d1c353382a45ec87ffac988b9aa5cd2021-10-01T00:00:00Zhttps://doi.org/10.1515/phys-2021-0058https://doaj.org/toc/2391-5471In this article, a fuel tank is coupled with gyrostat in a moving spacecraft to discuss its dynamical behaviour and bringing stability in velocity vectors. Parametric study is performed using Hopf bifurcation to find the bifurcation parameter for a considered mechanical model. Furthermore, a region is constructed in which negligible limit cycles appear around unstable spirals for angular momentum greater than bifurcation point. Based on local dynamical analysis, trajectories of angular velocities are observed with respect to damping constant, which is formulated in the form of bifurcation parameter. Moreover, a controller is designed in this article for considered dynamical system by achieving global stability, with the help of Lyapunov theory, into the spacecraft coupled with filled fuel tank, and their results are compared with effective spacecraft control strategies to observe the effectiveness of our proposed control technique. Finally, in presented research, numerical simulations are performed using MATLAB for validation of analytical results, which the authors have achieved for Hopf bifurcation and designed controller.Sabir MuhammadAhmad SalmanMarwan MuhammadDe Gruyterarticleautonomous dynamical systemhopf bifurcationactive controladaptive controlstabilityPhysicsQC1-999ENOpen Physics, Vol 19, Iss 1, Pp 539-550 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	autonomous dynamical system hopf bifurcation active control adaptive control stability Physics QC1-999
spellingShingle	autonomous dynamical system hopf bifurcation active control adaptive control stability Physics QC1-999 Sabir Muhammad Ahmad Salman Marwan Muhammad Hopf bifurcation analysis for liquid-filled Gyrostat chaotic system and design of a novel technique to control slosh in spacecrafts
description	In this article, a fuel tank is coupled with gyrostat in a moving spacecraft to discuss its dynamical behaviour and bringing stability in velocity vectors. Parametric study is performed using Hopf bifurcation to find the bifurcation parameter for a considered mechanical model. Furthermore, a region is constructed in which negligible limit cycles appear around unstable spirals for angular momentum greater than bifurcation point. Based on local dynamical analysis, trajectories of angular velocities are observed with respect to damping constant, which is formulated in the form of bifurcation parameter. Moreover, a controller is designed in this article for considered dynamical system by achieving global stability, with the help of Lyapunov theory, into the spacecraft coupled with filled fuel tank, and their results are compared with effective spacecraft control strategies to observe the effectiveness of our proposed control technique. Finally, in presented research, numerical simulations are performed using MATLAB for validation of analytical results, which the authors have achieved for Hopf bifurcation and designed controller.
format	article
author	Sabir Muhammad Ahmad Salman Marwan Muhammad
author_facet	Sabir Muhammad Ahmad Salman Marwan Muhammad
author_sort	Sabir Muhammad
title	Hopf bifurcation analysis for liquid-filled Gyrostat chaotic system and design of a novel technique to control slosh in spacecrafts
title_short	Hopf bifurcation analysis for liquid-filled Gyrostat chaotic system and design of a novel technique to control slosh in spacecrafts
title_full	Hopf bifurcation analysis for liquid-filled Gyrostat chaotic system and design of a novel technique to control slosh in spacecrafts
title_fullStr	Hopf bifurcation analysis for liquid-filled Gyrostat chaotic system and design of a novel technique to control slosh in spacecrafts
title_full_unstemmed	Hopf bifurcation analysis for liquid-filled Gyrostat chaotic system and design of a novel technique to control slosh in spacecrafts
title_sort	hopf bifurcation analysis for liquid-filled gyrostat chaotic system and design of a novel technique to control slosh in spacecrafts
publisher	De Gruyter
publishDate	2021
url	https://doaj.org/article/78d1c353382a45ec87ffac988b9aa5cd
work_keys_str_mv	AT sabirmuhammad hopfbifurcationanalysisforliquidfilledgyrostatchaoticsystemanddesignofanoveltechniquetocontrolsloshinspacecrafts AT ahmadsalman hopfbifurcationanalysisforliquidfilledgyrostatchaoticsystemanddesignofanoveltechniquetocontrolsloshinspacecrafts AT marwanmuhammad hopfbifurcationanalysisforliquidfilledgyrostatchaoticsystemanddesignofanoveltechniquetocontrolsloshinspacecrafts
_version_	1718371481527779328

Hopf bifurcation analysis for liquid-filled Gyrostat chaotic system and design of a novel technique to control slosh in spacecrafts

Ejemplares similares