Robust H[infinity] control of spacecraft rendezvous on elliptical orbit

This paper investigates the robust H∞H∞ control problem of spacecraft rendezvous on elliptical orbit. Based on Lyapunov theory, a sufficient condition for the existence of the robust H∞H∞ controller is given in terms of the periodic Riccati differential equation (RDE). Then, a stabilizable controlle...

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Bibliographic Details
Main Authors: Gao, X., Teo, Kok Lay, Duan, G.
Format: Journal Article
Published: Elsevier Science 2012
Online Access:http://hdl.handle.net/20.500.11937/37346
Description
Summary:This paper investigates the robust H∞H∞ control problem of spacecraft rendezvous on elliptical orbit. Based on Lyapunov theory, a sufficient condition for the existence of the robust H∞H∞ controller is given in terms of the periodic Riccati differential equation (RDE). Then, a stabilizable controller design method based on a fast multi-shot algorithm is proposed. With the controller obtained, the spacecraft rendezvous mission can be accomplished. An illustrative example is provided to show the effectiveness of the proposed control design method.