Small-Satellite Attitude Control Using Continuous but only Piecewise-Continuously Differentiable Sinusoidal Controls

Roshan A. Chavan, T. M. Seigler, Jesse B. Hoagg

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

5 Scopus citations


We consider attitude control of a rigid body (e.g., small satellite) with internal rotating-mass actuators that, unlike reaction wheels, cannot perform complete rotations. Instead, these actuators are limited to γ radians of total rotation. We present and analyze attitude-feedback control algorithms for this system, where the controls are continuous but only piecewise-continuously differentiable sinusoids, that is, signals that are continuous and piecewise sinusoidal but whose derivatives contain discontinuities. The main analytic results show these attitude-feedback controls achieve asymptotic setpoint tracking for a constant attitude command and approximate command following for a time-varying attitude command. We also demonstrate the setpoint tracking algorithm in simulation. Finally, we present single-axis closed-loop attitude control experiments for a small-satellite system on a three-dimensional air bearing.

Original languageEnglish
Title of host publication2020 American Control Conference, ACC 2020
Number of pages6
ISBN (Electronic)9781538682661
StatePublished - Jul 2020
Event2020 American Control Conference, ACC 2020 - Denver, United States
Duration: Jul 1 2020Jul 3 2020

Publication series

NameProceedings of the American Control Conference
ISSN (Print)0743-1619


Conference2020 American Control Conference, ACC 2020
Country/TerritoryUnited States

Bibliographical note

Funding Information:
This work is supported in part by the National Aeronautics and Space Administration (80NSSC17M0040) and the National Science Foundation (CMMI-1538782).

Publisher Copyright:
© 2020 AACC.

ASJC Scopus subject areas

  • Electrical and Electronic Engineering


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