Challenges in the stabilization of a satellite using Controlled Lagrangians I: Gravitation

Haghi, Poorya; Ghaffari-Saadat, Mohammad-Hassan

doi:10.1109/cca.2009.5281033

Cited by 4 publications

(7 citation statements)

References 24 publications

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“…This paper continues the developments of [13] by enhancing the dynamic model of the satellite. In [13], we presented a theorem that could be used for the stabilization of EulerPoincare mechanical systems, and employed it to stabilize a balanced satellite in the gravitational field of Earth. In this paper we extend the results to an unbalanced satellite under a gravitational torque.…”

Section: A History and Related Literaturementioning

confidence: 97%

“…Therefore, it is imperative to include this effect in order to improve the dynamic modeling. Haghi and Ghaffari-Saadat [13] were the first to include this effect. This paper continues the developments of [13] by enhancing the dynamic model of the satellite.…”

Section: A History and Related Literaturementioning

confidence: 97%

“…Haghi and Ghaffari-Saadat [13] were the first to include this effect. This paper continues the developments of [13] by enhancing the dynamic model of the satellite. In [13], we presented a theorem that could be used for the stabilization of EulerPoincare mechanical systems, and employed it to stabilize a balanced satellite in the gravitational field of Earth.…”

Section: A History and Related Literaturementioning

confidence: 97%

“…In other words, the first variation of EΦ must vanish, and its second variation must be either positive definite or negative definite. Refer to Part I [13] for the theorem that addresses the variations of EΦ.…”

Section: Euler-poincare Stabilizationmentioning

confidence: 99%

“…This section is a brief summary only of the key concepts presented in Part I [13], that are essential to the development of the rest of the paper (see [12] and [14] for detailed exposition of the CL method).…”

Section: The CL Approachmentioning

confidence: 99%

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Challenges in the stabilization of a satellite using Controlled Lagrangians I: Unbalance

Haghi

Ghaffari-Saadat

2009

2009 IEEE International Conference on Control Applications

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We discuss the stabilization of an unbalanced satellite in a gravitational field using the method of Controlled Lagrangians. The considered system can be classified as an Euler-Poincare mechanical system. Therefore, for the purpose of stabilization, we employ the stability analysis of EulerPoincare mechanical systems that was extended to systems with non-zero potential energies in Part I of this paper. The effectiveness of the stabilizing law is verified through simulations. In addition, we demonstrate the capability of the method of Controlled Lagrangians to cope with the issue of actuator saturation.

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Section: A History and Related Literaturementioning

confidence: 97%

Section: A History and Related Literaturementioning

confidence: 97%