Suboptimal delayed feedback attitude stabilization of rigid spacecraft with stochastic input torques and unknown time-varying delays

Ehsan Samiei, Eric Butcher

Research output: Chapter in Book/Report/Conference proceedingConference contribution

3 Citations (Scopus)

Abstract

This paper addresses the stabilization problem of rigid spacecraft attitude dynamics in the presence of external stochastic torques and an unknown timevarying delay in the measurement. By employing a linear delayed state feedback controller, a suitable Lyapunov-Krasovskii functional, and Ito's differential formula, a delay dependent stability condition in terms of a linear matrix inequality (LMI) is obtained whose solution gives the controller gain matrices. In addition, a quadratic cost function is applied to the derived LMI to achieve a suboptimal control performance for the system. An estimate of the region of attraction of the controlled system is also obtained, inside which the asymptotic stability of system is guaranteed in the mean-square sense. Finally, to show the effectiveness of the proposed controller, a set of simulations are performed on the attitude dynamics of a given spacecraft.

Original languageEnglish (US)
Title of host publicationAdvances in the Astronautical Sciences
PublisherUnivelt Inc.
Pages2011-2030
Number of pages20
Volume150
ISBN (Print)9780877036050
StatePublished - 2014
Externally publishedYes
Event2013 AAS/AIAA Astrodynamics Specialist Conference, Astrodynamics 2013 - Hilton Head Island, SC, United States
Duration: Aug 11 2013Aug 15 2013

Other

Other2013 AAS/AIAA Astrodynamics Specialist Conference, Astrodynamics 2013
CountryUnited States
CityHilton Head Island, SC
Period8/11/138/15/13

Fingerprint

torque
Spacecraft
controllers
spacecraft
stabilization
Torque
Stabilization
Linear matrix inequalities
Feedback
Controllers
matrix
Asymptotic stability
State feedback
Cost functions
attraction
costs
estimates
matrices
cost
simulation

ASJC Scopus subject areas

  • Aerospace Engineering
  • Space and Planetary Science

Cite this

Samiei, E., & Butcher, E. (2014). Suboptimal delayed feedback attitude stabilization of rigid spacecraft with stochastic input torques and unknown time-varying delays. In Advances in the Astronautical Sciences (Vol. 150, pp. 2011-2030). Univelt Inc..

Suboptimal delayed feedback attitude stabilization of rigid spacecraft with stochastic input torques and unknown time-varying delays. / Samiei, Ehsan; Butcher, Eric.

Advances in the Astronautical Sciences. Vol. 150 Univelt Inc., 2014. p. 2011-2030.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Samiei, E & Butcher, E 2014, Suboptimal delayed feedback attitude stabilization of rigid spacecraft with stochastic input torques and unknown time-varying delays. in Advances in the Astronautical Sciences. vol. 150, Univelt Inc., pp. 2011-2030, 2013 AAS/AIAA Astrodynamics Specialist Conference, Astrodynamics 2013, Hilton Head Island, SC, United States, 8/11/13.
Samiei E, Butcher E. Suboptimal delayed feedback attitude stabilization of rigid spacecraft with stochastic input torques and unknown time-varying delays. In Advances in the Astronautical Sciences. Vol. 150. Univelt Inc. 2014. p. 2011-2030
Samiei, Ehsan ; Butcher, Eric. / Suboptimal delayed feedback attitude stabilization of rigid spacecraft with stochastic input torques and unknown time-varying delays. Advances in the Astronautical Sciences. Vol. 150 Univelt Inc., 2014. pp. 2011-2030
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