Multifarious Chaotic Attractors and Its Control in Rigid Body Attitude Dynamical System

Multifarious Chaotic Attractors and Its Control in Rigid Body Attitude Dynamical System

The Euler dynamical equation which describes the attitude motion of a rigid body will exhibit very complex dynamic behaviors under the action of different external torques. Many special types of new chaotic attractors are presented, including hidden attractors, double-body-double-core chaotic attrac...

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Main Authors: Yang Wang, Zhen Wang, Dezhi Kong, Lingyun Kong, Yukun Qiao
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2020/5958768
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spelling doaj-5f1f03666c0f43fe8909e5736e1ed2002020-11-30T09:11:28ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472020-01-01202010.1155/2020/59587685958768Multifarious Chaotic Attractors and Its Control in Rigid Body Attitude Dynamical SystemYang Wang0Zhen Wang1Dezhi Kong2Lingyun Kong3Yukun Qiao4School of Science, Xijing University, Xi’an 710123, ChinaSchool of Science, Xijing University, Xi’an 710123, ChinaSchool of Mechanical Engineering, Northwestern Polytechnical University, Xi’an 710072, ChinaSchool of Science, Xijing University, Xi’an 710123, ChinaSchool of Science, Xijing University, Xi’an 710123, ChinaThe Euler dynamical equation which describes the attitude motion of a rigid body will exhibit very complex dynamic behaviors under the action of different external torques. Many special types of new chaotic attractors are presented, including hidden attractors, double-body-double-core chaotic attractors, and single-body-three-core-tree-wing chaotic attractors. The position of equilibrium points in several typical cases of the Euler dynamic equation is solved, and the stability of linearized equation at each equilibrium point and its influence on the formation of the chaotic attractor are analyzed. An improved nonlinear relay control law based on Euler angle feedback is developed to stabilize a new chaotic spacecraft attitude motion to an appointed equilibrium point or a periodic orbit.http://dx.doi.org/10.1155/2020/5958768
collection DOAJ
language English
format Article
sources DOAJ
author Yang Wang
Zhen Wang
Dezhi Kong
Lingyun Kong
Yukun Qiao
spellingShingle Yang Wang
Zhen Wang
Dezhi Kong
Lingyun Kong
Yukun Qiao
Multifarious Chaotic Attractors and Its Control in Rigid Body Attitude Dynamical System
Mathematical Problems in Engineering
author_facet Yang Wang
Zhen Wang
Dezhi Kong
Lingyun Kong
Yukun Qiao
author_sort Yang Wang
title Multifarious Chaotic Attractors and Its Control in Rigid Body Attitude Dynamical System
title_short Multifarious Chaotic Attractors and Its Control in Rigid Body Attitude Dynamical System
title_full Multifarious Chaotic Attractors and Its Control in Rigid Body Attitude Dynamical System
title_fullStr Multifarious Chaotic Attractors and Its Control in Rigid Body Attitude Dynamical System
title_full_unstemmed Multifarious Chaotic Attractors and Its Control in Rigid Body Attitude Dynamical System
title_sort multifarious chaotic attractors and its control in rigid body attitude dynamical system
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2020-01-01
description The Euler dynamical equation which describes the attitude motion of a rigid body will exhibit very complex dynamic behaviors under the action of different external torques. Many special types of new chaotic attractors are presented, including hidden attractors, double-body-double-core chaotic attractors, and single-body-three-core-tree-wing chaotic attractors. The position of equilibrium points in several typical cases of the Euler dynamic equation is solved, and the stability of linearized equation at each equilibrium point and its influence on the formation of the chaotic attractor are analyzed. An improved nonlinear relay control law based on Euler angle feedback is developed to stabilize a new chaotic spacecraft attitude motion to an appointed equilibrium point or a periodic orbit.
url http://dx.doi.org/10.1155/2020/5958768
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AT zhenwang multifariouschaoticattractorsanditscontrolinrigidbodyattitudedynamicalsystem
AT dezhikong multifariouschaoticattractorsanditscontrolinrigidbodyattitudedynamicalsystem
AT lingyunkong multifariouschaoticattractorsanditscontrolinrigidbodyattitudedynamicalsystem
AT yukunqiao multifariouschaoticattractorsanditscontrolinrigidbodyattitudedynamicalsystem
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