Fractional control of rigid body attitude dynamics using exponential coordinates

Morad Nazari, Eric Butcher, Amit K. Sanyal

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

1 Citation (Scopus)

Abstract

A fractional control law is proposed for feedback stabilization of rigid spacecraft attitude dynamics using exponential coordinates in which the fractional derivative and integral feedback terms have adjustable orders that can be used to tune the closed-loop response. The performance of the controller is studied numerically for different values of the derivative and integral fractional orders in terms of control effort, transient and steady-state response characteristics, and robustness to unmodeled disturbances. The use of fractional PID control allows for greater degree of exibility over its integer order analogue in terms of shaping a desired closed-loop response by tuning the fractional derivative and integral orders. The proposed strategy is also easier to implement numerically than a recently proposed fractional controller using rotation matrices.

Original languageEnglish (US)
Title of host publicationAIAA Guidance, Navigation, and Control
PublisherAmerican Institute of Aeronautics and Astronautics Inc, AIAA
Edition210039
ISBN (Print)9781624105265
DOIs
StatePublished - Jan 1 2018
EventAIAA Guidance, Navigation, and Control Conference, 2018 - Kissimmee, United States
Duration: Jan 8 2018Jan 12 2018

Other

OtherAIAA Guidance, Navigation, and Control Conference, 2018
CountryUnited States
CityKissimmee
Period1/8/181/12/18

Fingerprint

Derivatives
Feedback
Controllers
Three term control systems
Spacecraft
Stabilization
Tuning

ASJC Scopus subject areas

  • Aerospace Engineering
  • Control and Systems Engineering
  • Electrical and Electronic Engineering

Cite this

Nazari, M., Butcher, E., & Sanyal, A. K. (2018). Fractional control of rigid body attitude dynamics using exponential coordinates. In AIAA Guidance, Navigation, and Control (210039 ed.). American Institute of Aeronautics and Astronautics Inc, AIAA. https://doi.org/10.2514/6.2018-0860

Fractional control of rigid body attitude dynamics using exponential coordinates. / Nazari, Morad; Butcher, Eric; Sanyal, Amit K.

AIAA Guidance, Navigation, and Control. 210039. ed. American Institute of Aeronautics and Astronautics Inc, AIAA, 2018.

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

Nazari, M, Butcher, E & Sanyal, AK 2018, Fractional control of rigid body attitude dynamics using exponential coordinates. in AIAA Guidance, Navigation, and Control. 210039 edn, American Institute of Aeronautics and Astronautics Inc, AIAA, AIAA Guidance, Navigation, and Control Conference, 2018, Kissimmee, United States, 1/8/18. https://doi.org/10.2514/6.2018-0860
Nazari M, Butcher E, Sanyal AK. Fractional control of rigid body attitude dynamics using exponential coordinates. In AIAA Guidance, Navigation, and Control. 210039 ed. American Institute of Aeronautics and Astronautics Inc, AIAA. 2018 https://doi.org/10.2514/6.2018-0860
Nazari, Morad ; Butcher, Eric ; Sanyal, Amit K. / Fractional control of rigid body attitude dynamics using exponential coordinates. AIAA Guidance, Navigation, and Control. 210039. ed. American Institute of Aeronautics and Astronautics Inc, AIAA, 2018.
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