The control of chaotic attitude motion of a perturbed spacecraft

Kong, Lingjiang; Zhao, Fengqi; Zou, Ju Jia

doi:10.1109/chicc.2006.280796

Cited by 14 publications

(10 citation statements)

References 14 publications

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“…A lot of work has been done in chaotic satellite system. Many researchers and scientists (Tsui and Jones; 27 Kuang and Tan; 28 Kuang, Tan, Arichandran and Leung; 29 Kong and Zhoul 30,31 etc.) have paid much attention to this fields.…”

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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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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“…Leipnik and Newton [17] found two strange attractors from this system. In the previous paper [18,19], we introduced several new chaotic attractors but did not analyze the influence of the properties of equilibrium point on the formation of chaotic attractors.…”

Section: Introductionmentioning

confidence: 99%

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

Wang

Kong

et al. 2020

Mathematical Problems in Engineering

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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.

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“…A lot of work has been done in nonlinear dynamics such as chaotic attitude dynamics of satellite systems. Many researchers and scientists (Tsui and Jones, 15 Kuang and Tan, 16 Kuang et al, 17 Kong et al, 18 etc) have focused on such studies. Controlling of Slave satellite is a synchronization problem.…”

Section: Introductionmentioning

confidence: 99%

“…Let therefore the reference trajectory for the Slave satellite be the measured attitude of the Master satellite. 15,18 Hamidzadeh and Esmaelzadeh 19 have addressed the control and synchronization chaotic satellite using active control.…”

Section: Introductionmentioning

confidence: 99%

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

Khan

Kumar

2018

Optim Control Appl Methods

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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.

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The control of chaotic attitude motion of a perturbed spacecraft

Cited by 14 publications

References 14 publications

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

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

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

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

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