2019
DOI: 10.1109/tcst.2018.2812197 View full text |Buy / Rent full text
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Abstract: We focus on the problem of satellite rendezvous between two spacecraft in elliptic orbits. Using a linearized model of the relative dynamics, we first propose a periodic similarity transformation based on Floquet-Lyapunov theory, leading to a set of coordinates under which the free motion is linear timeinvariant. Then we address the problem of impulsive control of satellite rendezvous as a hybrid dynamical system, and we show that the arising elegant representation enables designing impulsive control laws with… Show more

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“…In order to assess the performance of the proposed controller, four hovering scenarios extracted from [20] are simulated. They are described by the spacecraft parameters, the thrusters limits, the hovering zone and the initial states, and are given in Table I.…”
Section: Simulation Resultsmentioning
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“…In order to assess the performance of the proposed controller, four hovering scenarios extracted from [20] are simulated. They are described by the spacecraft parameters, the thrusters limits, the hovering zone and the initial states, and are given in Table I.…”
Section: Simulation Resultsmentioning
“…One can observe, also, that for every scenario the consumption decreases as the control horizon grows. [20] proposes several hybrid controllers that stabilize a given relative orbit (selected for satisfying the the hovering box limits). By comparison with the results from [20], the convergence is faster and consume less fuel in most of case (especially for ∆ν = 120 • ).…”
Section: Simulation Resultsmentioning
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“…For sufficiency, a proof by contradiction is used. Suppose τ 1 = τ 2 and R 1,2 (τ 1 ) ∩ R 1,2 (τ 2 ) = ∅, then there exists a position r t and two time intervals ∆t 21 and ∆t 21 such that r t (∆t 21 , τ ) = r t (∆t 21 , τ ). Thus, from Lemma 1 if ∆t 21 = ∆t 21 , then no equality exists and if ∆t 21 = ∆t 21 , then τ 1 = τ 2 which demonstrates a contradiction.…”
Section: E Time Uniquenessmentioning