TY - JOUR
T1 - Stability Research of a Triangular Tethered Satellite Formation
T2 - Dynamics, Filtering, and Control
AU - Su, Bowen
AU - Zhang, Fan
AU - Huang, Panfeng
N1 - Publisher Copyright:
© 1965-2011 IEEE.
PY - 2022/12/1
Y1 - 2022/12/1
N2 - This article investigates the stability of a triangular tethered satellite formation (TTSF) and the performance improvement by filtering and the virtual control of general force. The equation of motion is formulated by Lagrangian equation, and the state space equation (SSE) is derived with the second-order terms decoupled. Then the stability of SSE is discussed with the tethers nonstretched and stretched, respectively, where the existence of a stable orbit arounthe equilibrium is explored and the effect of initial conditions on the stability of the system around a stable orbit is discussed. To smooth the system response, a steepest descent-based state filter for TTSF system is designed, which provides the optimized state information. Moreover, to get the expected system response, a virtual control law is acted on the system with hysteresis relay property employed to strengthen its robustness. Finally, simulation results are shown to validate the theoretical analyses.
AB - This article investigates the stability of a triangular tethered satellite formation (TTSF) and the performance improvement by filtering and the virtual control of general force. The equation of motion is formulated by Lagrangian equation, and the state space equation (SSE) is derived with the second-order terms decoupled. Then the stability of SSE is discussed with the tethers nonstretched and stretched, respectively, where the existence of a stable orbit arounthe equilibrium is explored and the effect of initial conditions on the stability of the system around a stable orbit is discussed. To smooth the system response, a steepest descent-based state filter for TTSF system is designed, which provides the optimized state information. Moreover, to get the expected system response, a virtual control law is acted on the system with hysteresis relay property employed to strengthen its robustness. Finally, simulation results are shown to validate the theoretical analyses.
KW - Filtering
KW - relay control
KW - stability
KW - triangular tethered satellite formation (TTSF)
UR - http://www.scopus.com/inward/record.url?scp=85128630837&partnerID=8YFLogxK
U2 - 10.1109/TAES.2022.3167986
DO - 10.1109/TAES.2022.3167986
M3 - 文章
AN - SCOPUS:85128630837
SN - 0018-9251
VL - 58
SP - 5240
EP - 5255
JO - IEEE Transactions on Aerospace and Electronic Systems
JF - IEEE Transactions on Aerospace and Electronic Systems
IS - 6
ER -