Linearized Impulsive Fixed-Time Fuel-Optimal Space rendezvous: A New Numerical Approach. Issue 17 (2016)

• Record Type: Journal Article
• Authors: Arzelier, Denis; Bréhard, Florent; Deak, Norbert; Joldes, Mioara; Louembet, Christophe; Rondepierre, Aude; Serra, Romain
• Is Part Of: IFAC-PapersOnLine. Volume 49:Issue 17(2016)
• Page Start: 373
• Page End: 378
• Publication Date: 2016
• Subjects: Impulsive optimal control -- elliptic rendezvous -- primer vector -- semi-infinite convex programming -- discretization methods; Automatic control -- Periodicals; 629.805
• DOI: 10.1016/j.ifacol.2016.09.064
• Languages: English
• ISSNs: 2405-8963

Abstract

Abstract: This paper focuses on the fixed-time minimum-fuel rendezvous between close elliptic orbits of an active spacecraft with a passive target spacecraft, assuming a linear impulsive setting and a Keplerian relative motion. Following earlier works developed in the 1960s, the original optimal control problem is transformed into a semi-infinite convex optimization problem using a relaxation scheme and duality theory in normed linear spaces. A new numerical convergent algorithm based on discretization methods is designed to solve this problem. Its solution is then used in a general simple procedure dedicated to the computation of the optimal velocity increments and optimal impulses locations. It is also shown that the semi-infinite convex programming has an analytical solution for the out-of-plane rendezvous problem. Different realistic numerical examples illustrate these results.