Earth–Moon L1 libration point orbit continuous stationkeeping control using time-varying LQR and backstepping

Morad Nazari; Eric A. Butcher; William Anthony

doi:10.1007/s40435-016-0256-8

Earth–Moon L1 libration point orbit continuous stationkeeping control using time-varying LQR and backstepping

Morad Nazari, Eric A. Butcher, William Anthony

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

Different periodic-gain stationkeeping control strategies in Earth–Moon L1 libration point orbits are proposed based on continuous LQR control and Floquet theory. The strategies are based on time-periodic infinite horizon LQR and backstepping technique with time-invariant LQR. Furthermore, a dead-band periodic-gain controller is proposed to account for the limited lifespan of the thrusters. The proposed controllers are shown to be more fuel efficient than conventional feedback linearization for the same settling time envelope of the tracking error.

Original language	English (US)
Pages (from-to)	1089-1102
Number of pages	14
Journal	International Journal of Dynamics and Control
Volume	5
Issue number	4
DOIs	https://doi.org/10.1007/s40435-016-0256-8
State	Published - Dec 1 2017

Keywords

Backstepping
Deadband control
Floquet theory
Halo orbit stationkeeping
Time varying LQR

ASJC Scopus subject areas

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

Access to Document

10.1007/s40435-016-0256-8

Cite this

@article{622b379baf9343bfb94900b4f098a78c,

title = "Earth–Moon L1 libration point orbit continuous stationkeeping control using time-varying LQR and backstepping",

abstract = "Different periodic-gain stationkeeping control strategies in Earth–Moon L1 libration point orbits are proposed based on continuous LQR control and Floquet theory. The strategies are based on time-periodic infinite horizon LQR and backstepping technique with time-invariant LQR. Furthermore, a dead-band periodic-gain controller is proposed to account for the limited lifespan of the thrusters. The proposed controllers are shown to be more fuel efficient than conventional feedback linearization for the same settling time envelope of the tracking error.",

keywords = "Backstepping, Deadband control, Floquet theory, Halo orbit stationkeeping, Time varying LQR",

author = "Morad Nazari and Butcher, {Eric A.} and William Anthony",

note = "Funding Information: Acknowledgements Financial support from AFOSR under Grant No. W911NF-11-1-0195 is gratefully acknowledged. Publisher Copyright: {\textcopyright} 2016, Springer-Verlag Berlin Heidelberg.",

year = "2017",

month = dec,

day = "1",

doi = "10.1007/s40435-016-0256-8",

language = "English (US)",

volume = "5",

pages = "1089--1102",

journal = "International Journal of Dynamics and Control",

issn = "2195-268X",

publisher = "Springer International Publishing AG",

number = "4",

}

TY - JOUR

T1 - Earth–Moon L1 libration point orbit continuous stationkeeping control using time-varying LQR and backstepping

AU - Nazari, Morad

AU - Butcher, Eric A.

AU - Anthony, William

PY - 2017/12/1

Y1 - 2017/12/1

N2 - Different periodic-gain stationkeeping control strategies in Earth–Moon L1 libration point orbits are proposed based on continuous LQR control and Floquet theory. The strategies are based on time-periodic infinite horizon LQR and backstepping technique with time-invariant LQR. Furthermore, a dead-band periodic-gain controller is proposed to account for the limited lifespan of the thrusters. The proposed controllers are shown to be more fuel efficient than conventional feedback linearization for the same settling time envelope of the tracking error.

AB - Different periodic-gain stationkeeping control strategies in Earth–Moon L1 libration point orbits are proposed based on continuous LQR control and Floquet theory. The strategies are based on time-periodic infinite horizon LQR and backstepping technique with time-invariant LQR. Furthermore, a dead-band periodic-gain controller is proposed to account for the limited lifespan of the thrusters. The proposed controllers are shown to be more fuel efficient than conventional feedback linearization for the same settling time envelope of the tracking error.

KW - Backstepping

KW - Deadband control

KW - Floquet theory

KW - Halo orbit stationkeeping

KW - Time varying LQR

UR - http://www.scopus.com/inward/record.url?scp=85034625104&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85034625104&partnerID=8YFLogxK

U2 - 10.1007/s40435-016-0256-8

DO - 10.1007/s40435-016-0256-8

M3 - Article

AN - SCOPUS:85034625104

SN - 2195-268X

VL - 5

SP - 1089

EP - 1102

JO - International Journal of Dynamics and Control

JF - International Journal of Dynamics and Control

IS - 4

ER -

Earth–Moon L1 libration point orbit continuous stationkeeping control using time-varying LQR and backstepping

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this