Attitude stabilization of rigid spacecraft with minimal attitude coordinates and unknown time-varying delay

Ehsan Samiei; Eric A. Butcher; Amit K. Sanyal; Robert Paz

doi:10.1016/j.ast.2015.08.007

Attitude stabilization of rigid spacecraft with minimal attitude coordinates and unknown time-varying delay

Ehsan Samiei, Eric A. Butcher, Amit K. Sanyal, Robert Paz

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

15 Scopus citations

Abstract

The delayed feedback stabilization of rigid spacecraft attitude dynamics in the presence of an unknown time-varying delay in the measurement is addressed. The attitude representation is parameterized using minimal attitude coordinates. The time-varying delay and its derivative are assumed to be bounded. By employing a linear state feedback controller via a Lyapunov-Krasovskii functional, a general delay-dependent stability condition is characterized for the closed-loop parameterized system in terms of a linear matrix inequality (LMI) whose solution gives the suitable controller gains. An estimate of the region of attraction of the controlled system is also obtained, inside which the asymptotic stability of parameterized system is guaranteed.

Original language	English (US)
Pages (from-to)	412-421
Number of pages	10
Journal	Aerospace Science and Technology
Volume	46
DOIs	https://doi.org/10.1016/j.ast.2015.08.007
State	Published - Oct 8 2015
Externally published	Yes

Keywords

Attitude dynamics
Linear matrix inequality
Lyapunov-Krasovskii functional
Region of attraction
Time-delay

ASJC Scopus subject areas

Aerospace Engineering

Access to Document

10.1016/j.ast.2015.08.007

Cite this

@article{79ba2780016f4ffc85d29960b096bd3e,

title = "Attitude stabilization of rigid spacecraft with minimal attitude coordinates and unknown time-varying delay",

abstract = "The delayed feedback stabilization of rigid spacecraft attitude dynamics in the presence of an unknown time-varying delay in the measurement is addressed. The attitude representation is parameterized using minimal attitude coordinates. The time-varying delay and its derivative are assumed to be bounded. By employing a linear state feedback controller via a Lyapunov-Krasovskii functional, a general delay-dependent stability condition is characterized for the closed-loop parameterized system in terms of a linear matrix inequality (LMI) whose solution gives the suitable controller gains. An estimate of the region of attraction of the controlled system is also obtained, inside which the asymptotic stability of parameterized system is guaranteed.",

keywords = "Attitude dynamics, Linear matrix inequality, Lyapunov-Krasovskii functional, Region of attraction, Time-delay",

author = "Ehsan Samiei and Butcher, {Eric A.} and Sanyal, {Amit K.} and Robert Paz",

year = "2015",

month = oct,

day = "8",

doi = "10.1016/j.ast.2015.08.007",

language = "English (US)",

volume = "46",

pages = "412--421",

journal = "Aerospace Science and Technology",

issn = "1270-9638",

publisher = "Elsevier",

}

TY - JOUR

T1 - Attitude stabilization of rigid spacecraft with minimal attitude coordinates and unknown time-varying delay

AU - Samiei, Ehsan

AU - Butcher, Eric A.

AU - Sanyal, Amit K.

AU - Paz, Robert

PY - 2015/10/8

Y1 - 2015/10/8

N2 - The delayed feedback stabilization of rigid spacecraft attitude dynamics in the presence of an unknown time-varying delay in the measurement is addressed. The attitude representation is parameterized using minimal attitude coordinates. The time-varying delay and its derivative are assumed to be bounded. By employing a linear state feedback controller via a Lyapunov-Krasovskii functional, a general delay-dependent stability condition is characterized for the closed-loop parameterized system in terms of a linear matrix inequality (LMI) whose solution gives the suitable controller gains. An estimate of the region of attraction of the controlled system is also obtained, inside which the asymptotic stability of parameterized system is guaranteed.

AB - The delayed feedback stabilization of rigid spacecraft attitude dynamics in the presence of an unknown time-varying delay in the measurement is addressed. The attitude representation is parameterized using minimal attitude coordinates. The time-varying delay and its derivative are assumed to be bounded. By employing a linear state feedback controller via a Lyapunov-Krasovskii functional, a general delay-dependent stability condition is characterized for the closed-loop parameterized system in terms of a linear matrix inequality (LMI) whose solution gives the suitable controller gains. An estimate of the region of attraction of the controlled system is also obtained, inside which the asymptotic stability of parameterized system is guaranteed.

KW - Attitude dynamics

KW - Linear matrix inequality

KW - Lyapunov-Krasovskii functional

KW - Region of attraction

KW - Time-delay

UR - http://www.scopus.com/inward/record.url?scp=84941342668&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84941342668&partnerID=8YFLogxK

U2 - 10.1016/j.ast.2015.08.007

DO - 10.1016/j.ast.2015.08.007

M3 - Article

AN - SCOPUS:84941342668

SN - 1270-9638

VL - 46

SP - 412

EP - 421

JO - Aerospace Science and Technology

JF - Aerospace Science and Technology

ER -

Attitude stabilization of rigid spacecraft with minimal attitude coordinates and unknown time-varying delay

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this