2019 **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…

Help me understand this report

Search citation statements

Select...

3

1

1

0

17

0

Year Published

2019

2019

Publication Types

Select...

1

1

Relationship

1

1

Authors

Journals

0

17

0

“…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.…”

- Search over 1.2b+ citation statments to see what is being said about any topic in the research literature
- Advanced Search to find publications that support or contrast your research
- Citation reports and visualizations to easily see what publications are saying about each other
- Browser extension to see Smart Citations wherever you read research
- Dashboards to evaluate and keep track of groups of publications
- Alerts to stay on top of citations as they happen
- Automated reference checks to make sure you are citing reliable research in your manuscripts
**7 day free preview of our premium features.**

Over 130,000 students researchers, and industry experts at use scite

See what students are saying

“…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.…”

“…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 • ).…”

“…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.…”