Spacecraft attitude stabilization using nonlinear delayed multiactuator control and inverse dynamics

Morad Nazari, Eric Butcher, Hanspeter Schaub

Research output: Contribution to journalArticle

24 Citations (Scopus)

Abstract

The dynamics of a rigid spacecraft with nonlinear delayed multiactuator feedback control are studied in this paper. It is assumed that the time delay occurs in one of the actuators, whereas the other actuator has a negligible time delay. Therefore, a nonlinear feedback controller using both delayed and nondelayed states is sought for the controlled system to have the desired linear delayed closed-loop dynamics using an inverse dynamics approach. The closed-loop stability is shown to be approximated by a second-order linear delay differential equation for the modified Rodriguez parameter attitude coordinates for which the Hsu-Bhatt-Vyshnegradskii stability chart can be used to choose the control gains that result in a stable closed-loop response. An analytical derivation of the boundaries of this chart for the case of no derivative feedback control is shown, whereas a numerical method is used to obtain the stability chart for the general case. Then, to achieve a specified performance, the criteria for a critically damped closed-loop response are studied. Further, an integral feedback control is also implemented, which is capable of eliminating the steady-state attitude error caused by any unmodeled external torque.

Original languageEnglish (US)
Pages (from-to)1440-1452
Number of pages13
JournalJournal of Guidance, Control, and Dynamics
Volume36
Issue number5
DOIs
StatePublished - Sep 2013
Externally publishedYes

Fingerprint

Inverse Dynamics
Spacecraft
Closed-loop
Feedback control
spacecraft
stabilization
Stabilization
charts
feedback control
Chart
Time delay
Actuators
torque
Feedback Control
numerical method
Actuator
Time Delay
Nonlinear feedback
time lag
actuators

ASJC Scopus subject areas

  • Aerospace Engineering
  • Space and Planetary Science
  • Electrical and Electronic Engineering
  • Applied Mathematics
  • Control and Systems Engineering

Cite this

Spacecraft attitude stabilization using nonlinear delayed multiactuator control and inverse dynamics. / Nazari, Morad; Butcher, Eric; Schaub, Hanspeter.

In: Journal of Guidance, Control, and Dynamics, Vol. 36, No. 5, 09.2013, p. 1440-1452.

Research output: Contribution to journalArticle

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