Time-varying feedback stabilization of the attitude of a rigid spacecraft with two controls

P. Morin; C. Samson; J. B. Pomet; Z. P. Jiang

doi:10.1016/0167-6911(94)00095-D

Time-varying feedback stabilization of the attitude of a rigid spacecraft with two controls

P. Morin, C. Samson, J. B. Pomet, Z. P. Jiang

Electrical and Computer Engineering

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

Abstract

It is known that rigid body models with two controls cannot be locally asymptotically stabilized by continuous feedbacks which are functions of the state only. This impossibility does no longer hold when the feedback is also a function of time, or when it is discontinuous. A locally stabilizing smooth time-varying feedback is here explicitly derived by using Center Manifold Theory combined with averaging and Lyapunov techniques.

Original language	English (US)
Pages (from-to)	375-385
Number of pages	11
Journal	Systems and Control Letters
Volume	25
Issue number	5
DOIs	https://doi.org/10.1016/0167-6911(94)00095-D
State	Published - Aug 8 1995

Keywords

Attitude stabilization
Smooth feedback
Time-varying control

ASJC Scopus subject areas

Control and Systems Engineering
General Computer Science
Mechanical Engineering
Electrical and Electronic Engineering

Access to Document

10.1016/0167-6911(94)00095-D

Cite this

@article{3c3749718fc94a12af8c2d7ae9f27451,

title = "Time-varying feedback stabilization of the attitude of a rigid spacecraft with two controls",

abstract = "It is known that rigid body models with two controls cannot be locally asymptotically stabilized by continuous feedbacks which are functions of the state only. This impossibility does no longer hold when the feedback is also a function of time, or when it is discontinuous. A locally stabilizing smooth time-varying feedback is here explicitly derived by using Center Manifold Theory combined with averaging and Lyapunov techniques.",

keywords = "Attitude stabilization, Smooth feedback, Time-varying control",

author = "P. Morin and C. Samson and Pomet, {J. B.} and Jiang, {Z. P.}",

year = "1995",

month = aug,

day = "8",

doi = "10.1016/0167-6911(94)00095-D",

language = "English (US)",

volume = "25",

pages = "375--385",

journal = "Systems and Control Letters",

issn = "0167-6911",

publisher = "Elsevier",

number = "5",

}

TY - JOUR

T1 - Time-varying feedback stabilization of the attitude of a rigid spacecraft with two controls

AU - Morin, P.

AU - Samson, C.

AU - Pomet, J. B.

AU - Jiang, Z. P.

PY - 1995/8/8

Y1 - 1995/8/8

N2 - It is known that rigid body models with two controls cannot be locally asymptotically stabilized by continuous feedbacks which are functions of the state only. This impossibility does no longer hold when the feedback is also a function of time, or when it is discontinuous. A locally stabilizing smooth time-varying feedback is here explicitly derived by using Center Manifold Theory combined with averaging and Lyapunov techniques.

AB - It is known that rigid body models with two controls cannot be locally asymptotically stabilized by continuous feedbacks which are functions of the state only. This impossibility does no longer hold when the feedback is also a function of time, or when it is discontinuous. A locally stabilizing smooth time-varying feedback is here explicitly derived by using Center Manifold Theory combined with averaging and Lyapunov techniques.

KW - Attitude stabilization

KW - Smooth feedback

KW - Time-varying control

UR - http://www.scopus.com/inward/record.url?scp=0029639622&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0029639622&partnerID=8YFLogxK

U2 - 10.1016/0167-6911(94)00095-D

DO - 10.1016/0167-6911(94)00095-D

M3 - Article

AN - SCOPUS:0029639622

SN - 0167-6911

VL - 25

SP - 375

EP - 385

JO - Systems and Control Letters

JF - Systems and Control Letters

IS - 5

ER -

Time-varying feedback stabilization of the attitude of a rigid spacecraft with two controls

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this