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

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

Research output: Contribution to journalArticle

10 Scopus citations


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 languageEnglish (US)
Pages (from-to)412-421
Number of pages10
JournalAerospace Science and Technology
StatePublished - Oct 8 2015
Externally publishedYes



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

ASJC Scopus subject areas

  • Aerospace Engineering

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