Research On Robust Finite-Time Control Of Rendezvous System In An Elliptical Orbit

In the development of the aerospace industry,spacecraft rendezvous is a very important issue,especially the elliptical orbital rendezvous problem in more general cases,which is of great value for space-orbit service and space exploration experiments.Since the elliptical orbit rendezvous system is a time-varying system,it is especially important to study the control problem of time-varying systems.This paper combines the specific application object of spacecraft orbital rendezvous to study the robustness of time-varying systems under internal uncertainty and external uncertainty control theory.For the simplicity of the model,some internal influences are not or cannot be built in the model,and the established model fails to fully describe the actual engineering problems.Due to the influence of unmodeled uncertain factors,the mathematical model established by the theory is inevitably practical.There are deviations in engineering problems,so it is necessary to study system stability and controller design issues under internal uncertainties.This paper introduces the existing time-varying system segmentation steady feedback research method,and extends it to the time-varying system’s robust segmented steady feedback control law design problem,and simulates the elliptical spacecraft orbit rendezvous problem,and compares the simulation before and after the improvement.The curve verifies the validity of the theory.In view of the actual spacecraft rendezvous problem,there are external disturbances(such as non-circular perturbation of the Earth,gravitational perturbations of other planets.),and based on the theory proposed in this paper,the study is based on the simultaneous action of external disturbances.The H_∞ finite-time control problem of the time-varying system segmentation constant feedback is applied to the design of the controller of the elliptical orbit rendezvous system.In order to study the effects of internal uncertainty and external disturbances in spacecraft rendezvous,the H_∞ finite-time control problem of time-varying systems is further extended to the design of robust H_∞finite-time controllers.Control algorithm and apply it to the design problem of the elliptical orbit rendezvous system controller through simulation to.