Fuel efficient periodic gain control strategies for spacecraft relative motion in elliptic chief orbits

Morad Nazari, Eric Butcher

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

Periodic gain continuous control strategies are applied to the nonlinear time periodic equations of spacecraft relative motion when the chief orbit is elliptic. Specifically, control strategies based on time-varying linear quadratic regulator (LQR), Lyapunov–Floquet transformation (LFT) with time-invariant LQR, LFT with backstepping, and feedback linearization are implemented and shown to be much more fuel efficient than constant gain feedback control. Both natural and constrained leader-follower two-spacecraft formations are studied. Furthermore, a dead-band control is added for the constrained formation to reduce the amount of the fuel used. The closed-loop response and control effort required are investigated and compared for the same settling time envelopes for all control strategies.

Original languageEnglish (US)
Pages (from-to)104-122
Number of pages19
JournalInternational Journal of Dynamics and Control
Volume4
Issue number1
DOIs
StatePublished - Mar 1 2016

Fingerprint

Gain control
Spacecraft
Control Strategy
Orbits
Orbit
Regulator
Motion
Feedback Linearization
Backstepping
Feedback Control
Closed-loop
Envelope
Time-varying
Feedback linearization
Invariant
Feedback control

Keywords

  • Backstepping method
  • Continuous control
  • Dead-band control
  • Formation flying
  • Lyapunov-Floquet transformation
  • Time-varying LQR

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Control and Systems Engineering
  • Electrical and Electronic Engineering
  • Mechanical Engineering
  • Control and Optimization
  • Modeling and Simulation

Cite this

Fuel efficient periodic gain control strategies for spacecraft relative motion in elliptic chief orbits. / Nazari, Morad; Butcher, Eric.

In: International Journal of Dynamics and Control, Vol. 4, No. 1, 01.03.2016, p. 104-122.

Research output: Contribution to journalArticle

@article{b75f6007b4244a41913d9fbe7ad64748,
title = "Fuel efficient periodic gain control strategies for spacecraft relative motion in elliptic chief orbits",
abstract = "Periodic gain continuous control strategies are applied to the nonlinear time periodic equations of spacecraft relative motion when the chief orbit is elliptic. Specifically, control strategies based on time-varying linear quadratic regulator (LQR), Lyapunov–Floquet transformation (LFT) with time-invariant LQR, LFT with backstepping, and feedback linearization are implemented and shown to be much more fuel efficient than constant gain feedback control. Both natural and constrained leader-follower two-spacecraft formations are studied. Furthermore, a dead-band control is added for the constrained formation to reduce the amount of the fuel used. The closed-loop response and control effort required are investigated and compared for the same settling time envelopes for all control strategies.",
keywords = "Backstepping method, Continuous control, Dead-band control, Formation flying, Lyapunov-Floquet transformation, Time-varying LQR",
author = "Morad Nazari and Eric Butcher",
year = "2016",
month = "3",
day = "1",
doi = "10.1007/s40435-014-0126-1",
language = "English (US)",
volume = "4",
pages = "104--122",
journal = "International Journal of Dynamics and Control",
issn = "2195-268X",
publisher = "Springer International Publishing AG",
number = "1",

}

TY - JOUR

T1 - Fuel efficient periodic gain control strategies for spacecraft relative motion in elliptic chief orbits

AU - Nazari, Morad

AU - Butcher, Eric

PY - 2016/3/1

Y1 - 2016/3/1

N2 - Periodic gain continuous control strategies are applied to the nonlinear time periodic equations of spacecraft relative motion when the chief orbit is elliptic. Specifically, control strategies based on time-varying linear quadratic regulator (LQR), Lyapunov–Floquet transformation (LFT) with time-invariant LQR, LFT with backstepping, and feedback linearization are implemented and shown to be much more fuel efficient than constant gain feedback control. Both natural and constrained leader-follower two-spacecraft formations are studied. Furthermore, a dead-band control is added for the constrained formation to reduce the amount of the fuel used. The closed-loop response and control effort required are investigated and compared for the same settling time envelopes for all control strategies.

AB - Periodic gain continuous control strategies are applied to the nonlinear time periodic equations of spacecraft relative motion when the chief orbit is elliptic. Specifically, control strategies based on time-varying linear quadratic regulator (LQR), Lyapunov–Floquet transformation (LFT) with time-invariant LQR, LFT with backstepping, and feedback linearization are implemented and shown to be much more fuel efficient than constant gain feedback control. Both natural and constrained leader-follower two-spacecraft formations are studied. Furthermore, a dead-band control is added for the constrained formation to reduce the amount of the fuel used. The closed-loop response and control effort required are investigated and compared for the same settling time envelopes for all control strategies.

KW - Backstepping method

KW - Continuous control

KW - Dead-band control

KW - Formation flying

KW - Lyapunov-Floquet transformation

KW - Time-varying LQR

UR - http://www.scopus.com/inward/record.url?scp=84975217832&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84975217832&partnerID=8YFLogxK

U2 - 10.1007/s40435-014-0126-1

DO - 10.1007/s40435-014-0126-1

M3 - Article

AN - SCOPUS:84975217832

VL - 4

SP - 104

EP - 122

JO - International Journal of Dynamics and Control

JF - International Journal of Dynamics and Control

SN - 2195-268X

IS - 1

ER -