scholarly journals Dynamic Behavior Analysis of Tethered Satellite System Based on Floquet Theory

Author(s):  
Guangnan Zhu ◽  
Kuan Lu ◽  
Qingjie Cao ◽  
Panfeng Huang ◽  
Kangyu Zhang

Abstract In this paper, an n-star general dynamic model of tethered satellite system with closed-loop configuration is provided. An analytical method for periodic solution stability of the general dynamic model is proposed based on Floquet theory, which proved that the periodic solution stability of the system depends on the maximum modulus for the eigenvalue of a matrix related to the Jacobian matrix. The periodic solution stability of a 3-star system with equilateral triangle as the initial configuration is analyzed as an example based upon the analytical method. The critical stable spin angular velocity of the 3-star system is analyzed when the system spins clockwise, and its numerical simulation is carried out to verify the results. The results show that the analytical method of periodic solution stability can solve the critical stable spin angular velocity accurately of the tethered satellite system, and the 3-star system can guarantee stable spin when the spin angular velocity is about 2.1 times of its revolution angular velocity, otherwise the disturbed system will not be able to re-converge to the initial configuration in finite time.

2000 ◽  
Vol 37 (2) ◽  
pp. 212-217 ◽  
Author(s):  
Victor M. Aguero ◽  
Brian E. Gilchrist ◽  
Scott D. Williams ◽  
William J. Burke ◽  
Linda Krause ◽  
...  

2013 ◽  
Vol 75 (1-2) ◽  
pp. 267-281 ◽  
Author(s):  
Wonyoung Jung ◽  
Andre P. Mazzoleni ◽  
Jintai Chung

Author(s):  
Chenguang Liu ◽  
Wei Wang ◽  
Yong Guo ◽  
Shumin Chen ◽  
Aijun Li ◽  
...  

The dual-body tethered satellite system, which consists of two spacecraft connected by a single tether, is one of the most promising configurations in numerous space missions. To ensure the stability of deployment, the radial basis function neural network-based adaptive terminal sliding mode controller is proposed for the dual-body tethered satellite system with the model uncertainty and external disturbance. The terminal sliding mode controller serves as the main control framework for its properties of the strong robustness and finite-time convergence. The radial basis function neural network is adopted to approximate the model uncertainty, in which the weight vector of the radial basis function neural networks and the unknown upper bound of the external disturbance are estimated by using two adaptive laws. Finally, the Lyapunov theory and numerical simulations are used to prove the validity of the proposed controller.


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