Nonlinear optimal approach to spacecraft formation flying using Lorentz and impulsive actuation

DOI10.1007/S10957-021-01892-1zbMath1481.49026OpenAlexW3184722921MaRDI QIDQ2055374

Esmaeil Sharifi, Christopher John Damaren

Publication date: 1 December 2021

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-021-01892-1

zbMATH Keywords

Hamilton-Jacobi-Bellman equationGalerkin/collocation-based approximationhybrid nonlinear optimal time-varying controlLorentz-augmented orbitspacecraft formation flight

Mathematics Subject Classification ID

Variational principles of physics (49S05) Impulsive optimal control problems (49N25) Hamilton-Jacobi equations in optimal control and differential games (49L12)

Cites Work

• Galerkin approximations of the generalized Hamilton-Jacobi-Bellman equation
• Non-linear impulsive dynamical systems. Part II: Stability of feedback interconnections and optimality
• Successive Galerkin approximation algorithms for nonlinear optimal and robust control
• A numerical approach to hybrid nonlinear optimal control
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