Title
Adaptive fuzzy finite-time control for spacecraft formation with communication delays and changing topologies.
Abstract
This paper aims to solve the finite time consensus control problem for spacecraft formation flying (SFF) while accounting for multiple time varying communication delays and changing topologies among SFF members. First, in the presence of model uncertainties and external disturbances, the coupled dynamics of relative position and attitude are derived based on the Lie group SE(3), in which the position and attitude tracking errors with respect to the virtual leader whose trajectory is computed offline are described by exponential coordinates. Then, a nonsingular fast terminal sliding mode (NFTSM) constructed by the exponential coordinates and velocity tracking errors is developed, based on which adaptive fuzzy NFTSM control schemes are proposed to guarantee that the ideal configurations of the SFF members with respect to the virtual leader can be achieved in finite time with high accuracy and all the aforementioned drawbacks can be overcome. The convergence and stability of the closed-loop system are proved theoretically by Lyapunov methods. Finally, numerical simulations are presented to validate the effectiveness and feasibility of the proposed controllers.
Year
DOI
Venue
2017
10.1016/j.jfranklin.2017.04.018
Journal of the Franklin Institute
Field
DocType
Volume
Convergence (routing),Lyapunov function,Exponential function,Control theory,Fuzzy logic,Network topology,Terminal sliding mode,Trajectory,Mathematics,Spacecraft
Journal
354
Issue
ISSN
Citations 
11
0016-0032
1
PageRank 
References 
Authors
0.35
23
4
Name
Order
Citations
PageRank
Jianqiao Zhang110.35
Dong Ye2208.36
Ming Liu327650.00
Sun Zhaowei4426.39