Satellite Transfer Function Using MATLAB
1. Find the transfer function between the input $F_c$ and the satellite attitude $θ$ in Example 2.3 and
2. Determine the response of the system to a $25-N$ pulse of $0.1$ sec duration, starting at $t = 5$ sec. Let $d = 1 \ m$ and $I = 5000 \ kg-m^2.$

Question

Satellite Transfer Function Using MATLAB
1. Find the transfer function between the input [latex] F_c [/latex] and the satellite attitude [latex] θ [/latex] in Example 2.3 and
2. Determine the response of the system to a [latex] 25-N[/latex] pulse of [latex] 0.1 [/latex] sec duration, starting at [latex] t = 5 [/latex] sec. Let [latex] d = 1 \ m [/latex] and [latex] I = 5000 \ kg-m^2.[/latex]

Accepted Answer

1. From Example 2.3, [latex] \frac{d}{ I} = \frac{1}{5000 }= 0.0002 \left[\frac{m}{kg-m^2} \right] [/latex] and this means that the transfer function of the system is

[latex] H(s) = \frac{0.0002}{s^2 }, [/latex]

which can also be determined by inspection for this particular case. We may display the coefficients of the numerator polynomial as the row vector num and the denominator as the row vector den. The results for this example are

Question 3.EX.19: Satellite Transfer Function Using MATLAB 1. Find the transfe...

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