Fuel optimal control of non-linear oscillations of a satellite on elliptical orbit

Irina Alesova, Levon Babadzanjanz, Irina Pototskaya, Artur Saakyan

Research outputpeer-review

2 Citations (Scopus)

Abstract

The active damping of the free large oscillations of a satellite on elliptical orbit is discussed. The satellite oscillations are described by non-linear differential equation of second order. According to Pontryagin's principle of maximum the fuel optimal control has piecewise constant form. Solving and fundamental matrix of the differential equation is determined with Erugin's expansion in symbolic form. The problem is reduced to the optimization task with linear quality function and two restrictions. For solving the Sequential Linear Programming method is offered. The ability of the satellite oscillations damping with fuel optimal control is demonstrated by numerical examples.

Original languageEnglish
Title of host publicationProceedings of 2016 International Conference "Stability and Oscillations of Nonlinear Control Systems" (Pyatnitskiy's Conference), STAB 2016
EditorsV. N. Tkhai
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9781467399975
DOIs
Publication statusPublished - 10 Aug 2016
Event2016 International Conference on Stability and Oscillations of Nonlinear Control Systems, STAB 2016 - Moscow
Duration: 1 Jun 20163 Jun 2016

Conference

Conference2016 International Conference on Stability and Oscillations of Nonlinear Control Systems, STAB 2016
CountryRussian Federation
CityMoscow
Period1/06/163/06/16

Scopus subject areas

  • Electrical and Electronic Engineering
  • Control and Optimization
  • Modelling and Simulation

Cite this

Alesova, I., Babadzanjanz, L., Pototskaya, I., & Saakyan, A. (2016). Fuel optimal control of non-linear oscillations of a satellite on elliptical orbit. In V. N. Tkhai (Ed.), Proceedings of 2016 International Conference "Stability and Oscillations of Nonlinear Control Systems" (Pyatnitskiy's Conference), STAB 2016 [7541157] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/STAB.2016.7541157
Alesova, Irina ; Babadzanjanz, Levon ; Pototskaya, Irina ; Saakyan, Artur. / Fuel optimal control of non-linear oscillations of a satellite on elliptical orbit. Proceedings of 2016 International Conference "Stability and Oscillations of Nonlinear Control Systems" (Pyatnitskiy's Conference), STAB 2016. editor / V. N. Tkhai. Institute of Electrical and Electronics Engineers Inc., 2016.
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abstract = "The active damping of the free large oscillations of a satellite on elliptical orbit is discussed. The satellite oscillations are described by non-linear differential equation of second order. According to Pontryagin's principle of maximum the fuel optimal control has piecewise constant form. Solving and fundamental matrix of the differential equation is determined with Erugin's expansion in symbolic form. The problem is reduced to the optimization task with linear quality function and two restrictions. For solving the Sequential Linear Programming method is offered. The ability of the satellite oscillations damping with fuel optimal control is demonstrated by numerical examples.",
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Alesova, I, Babadzanjanz, L, Pototskaya, I & Saakyan, A 2016, Fuel optimal control of non-linear oscillations of a satellite on elliptical orbit. in VN Tkhai (ed.), Proceedings of 2016 International Conference "Stability and Oscillations of Nonlinear Control Systems" (Pyatnitskiy's Conference), STAB 2016., 7541157, Institute of Electrical and Electronics Engineers Inc., Moscow, 1/06/16. https://doi.org/10.1109/STAB.2016.7541157

Fuel optimal control of non-linear oscillations of a satellite on elliptical orbit. / Alesova, Irina; Babadzanjanz, Levon; Pototskaya, Irina; Saakyan, Artur.

Proceedings of 2016 International Conference "Stability and Oscillations of Nonlinear Control Systems" (Pyatnitskiy's Conference), STAB 2016. ed. / V. N. Tkhai. Institute of Electrical and Electronics Engineers Inc., 2016. 7541157.

Research outputpeer-review

TY - GEN

T1 - Fuel optimal control of non-linear oscillations of a satellite on elliptical orbit

AU - Alesova, Irina

AU - Babadzanjanz, Levon

AU - Pototskaya, Irina

AU - Saakyan, Artur

PY - 2016/8/10

Y1 - 2016/8/10

N2 - The active damping of the free large oscillations of a satellite on elliptical orbit is discussed. The satellite oscillations are described by non-linear differential equation of second order. According to Pontryagin's principle of maximum the fuel optimal control has piecewise constant form. Solving and fundamental matrix of the differential equation is determined with Erugin's expansion in symbolic form. The problem is reduced to the optimization task with linear quality function and two restrictions. For solving the Sequential Linear Programming method is offered. The ability of the satellite oscillations damping with fuel optimal control is demonstrated by numerical examples.

AB - The active damping of the free large oscillations of a satellite on elliptical orbit is discussed. The satellite oscillations are described by non-linear differential equation of second order. According to Pontryagin's principle of maximum the fuel optimal control has piecewise constant form. Solving and fundamental matrix of the differential equation is determined with Erugin's expansion in symbolic form. The problem is reduced to the optimization task with linear quality function and two restrictions. For solving the Sequential Linear Programming method is offered. The ability of the satellite oscillations damping with fuel optimal control is demonstrated by numerical examples.

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U2 - 10.1109/STAB.2016.7541157

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M3 - Conference contribution

BT - Proceedings of 2016 International Conference "Stability and Oscillations of Nonlinear Control Systems" (Pyatnitskiy's Conference), STAB 2016

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PB - Institute of Electrical and Electronics Engineers Inc.

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Alesova I, Babadzanjanz L, Pototskaya I, Saakyan A. Fuel optimal control of non-linear oscillations of a satellite on elliptical orbit. In Tkhai VN, editor, Proceedings of 2016 International Conference "Stability and Oscillations of Nonlinear Control Systems" (Pyatnitskiy's Conference), STAB 2016. Institute of Electrical and Electronics Engineers Inc. 2016. 7541157 https://doi.org/10.1109/STAB.2016.7541157