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Modeling and co-simulating of a large flexible satellites with three reaction wheels in ADAMS and MATLAB

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Abstract

In this paper, a simple, accurate, and quick approach for modeling and controlling a large flexible satellite is presented. A satellite including three reaction wheels and two large flexible panels is modeled with the use of ADAMS. To increase the accuracy of the model, flexible panels are built by PATRAN/NASTRAN regarding to its accuracy in meshing and then are imported to ADAMS. Designed model is compared with a nonlinear analytical model derived by Euler–Lagrange’s method using co-simulation in ADAMS and MATLAB. For the purpose of verification of the ADAMS model, a PID controller is designed. The co-simulation results indicate that the ADAMS model efficiently could be used instead of the analytical model to avoid solving the complex dynamic equations of the flexible satellite for controlling purposes.

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Authors and Affiliations

  1. School of Electrical Engineering, Iran University of Science and Technology, Tehran, Iran

    Mahmoud Tahmasebi & Seyed Majid Esmailzadeh

Authors
  1. Mahmoud Tahmasebi
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  2. Seyed Majid Esmailzadeh
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Correspondence to Mahmoud Tahmasebi.

Appendix

Appendix

$$\begin{aligned} M_1^{c_1 }= & {} \left[ {{\begin{array}{l@{\quad }l@{\quad }l} {-0.2329}&{} {-0.1291}&{} {-0.07557} \\ {-1755}&{} {-371.9}&{} {-162.4} \\ 0&{} 0&{} 0 \\ \end{array} }} \right] ,\\ M_2^{c_1 }= & {} \left[ {{\begin{array}{l@{\quad }l@{\quad }l} {-0.2329}&{} {-0.1291}&{} {-0.07557} \\ {1755}&{} {371.9}&{} {162.4} \\ 0&{} 0&{} 0 \\ \end{array} }} \right] . \\ M_{11}^{c_2 }= & {} M_{22}^{c_2 } =\left[ {{\begin{array}{l@{\quad }l@{\quad }l} {271.7}&{} {-14.29}&{} {-8.377} \\ {-14.29}&{} {289.5}&{} {-4.642} \\ {-8.377}&{} {-4.642}&{} {294.7} \\ \end{array} }} \right] ,\\ M_{12}^{c_2 }= & {} M_{21}^{c_2 } =\left[ {{\begin{array}{l@{\quad }l@{\quad }l} {-25.78}&{} {-14.29}&{} {-8.377} \\ {-14.29}&{} {-7.918}&{} {-4.642} \\ {-8.377}&{} {-4.642}&{} {-2.722} \\ \end{array} }} \right] ,\\ K_1= & {} K_2 = \left[ {{\begin{array}{l@{\quad }l@{\quad }l} {283.436}&{} 0&{} 0 \\ 0&{} {11131.65}&{} 0 \\ 0&{} 0&{} {87273.96} \\ \end{array} }} \right] . \\ \end{aligned}$$

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Tahmasebi, M., Esmailzadeh, S.M. Modeling and co-simulating of a large flexible satellites with three reaction wheels in ADAMS and MATLAB. Int. J. Dynam. Control 6, 79–88 (2018). https://doi.org/10.1007/s40435-016-0300-8

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  • DOI: https://doi.org/10.1007/s40435-016-0300-8

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