Open AccessLyapunov‐based control of a tethered satellite system
Author(s) -
Meng Tingting,
He Wei
Publication year - 2016
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2015.0912
Subject(s) - control theory (sociology) , lyapunov function , satellite , ordinary differential equation , bounded function , distributed parameter system , satellite system , control system , boundary (topology) , closed loop , differential equation , partial differential equation , mathematics , computer science , control engineering , control (management) , engineering , physics , mathematical analysis , aerospace engineering , nonlinear system , gnss applications , electrical engineering , quantum mechanics , artificial intelligence
In this study, a tethered satellite system is considered as a distributed parameter system. By using the extended Hamilton's principle, the tethered satellite system can be described by three partial differential equations and six ordinary differential equations. To suppress the vibrations of the tether and satellites, six boundary control laws are employed based on Lyapunov's direct method. The closed‐loop system is also proved to be uniformly bounded. Simulations are conducted to illustrate the performance of the closed‐loop tethered satellite system.