Analytical libration control law for electrodynamic tether system with current constraint  

作　　者：Shidong Xu Ti Chen Hao Wen Dongping Jin 

机构地区：[1]State Key Laboratory of Mechanics and Control for Aerospace Structures,Nanjing University of Aeronautics and Astronautics,Nanjing,210016,China

出　　处：《Astrodynamics》2024年第2期237-246,共10页航天动力学（英文）

基　　金：supported by the National Natural Science Foundation of China under Grant Nos.11902145 and 12232011;China Postdoctoral Science Foundation under Grant No.2021M691574;Fundamental Research Funds for the Central Universities under Grant No.NS2022002.

摘　　要：This study focuses on stabilizing the libration dynamics of an electrodynamic tether system(EDTS)using generalized torques induced by the Lorentz force.In contrast to existing numerical optimization methods,a novel analytical feedback control law is developed to stabilize the in-plane and out-of-plane motions of a tether by modulating the electric current only.The saturation constraint on the current is accounted for by adding an auxiliary dynamic system to the EDTS.To enhance the robustness of the proposed controller,multiple perturbations of the orbital dynamics,modeling uncertainties,and external disturbances are approximated using a neural network in which the weighting matrix and approximation error are estimated simultaneously,such that these perturbations are well compensated for during the control design of the EDTS.Furthermore,a dynamically scaled generalized inverse is utilized to address the singular matrix in the control law.The closed-loop system is proven to be ultimately bounded based on Lyapunov stability theory.Finally,numerical simulations are performed to demonstrate the effectiveness of the proposed analytical control law.

关 键 词：electrodynamic tether system(EDTS) libration dynamics analytical control current constraint 

分 类 号：O17[理学—数学]