Aircraft Response Using MATLAB
The transfer function between the elevator and altitude of the Boeing 747 aircraft described in Section 10.3.2 can be approximated as
\frac{h(s)}{δe(s)} = \frac{30(s − 6)}{s(s^2 + 4s + 13)}.
1. Use MATLAB to plot the altitude time history for a 1° impulsive elevator input. Explain the response, noting the physical reasons for the nonminimum-phase nature of the response.
2. Examine the accuracy of the approximations for t_r, t_s, and M_p [Eqs. (3.60) and (3.65) and Fig. 3.23].
tr ≅ \frac{1.8}{w_n}. (3.60)
ζ \ ω_n t_s = 4.6, or t_s = \frac{4.6}{ζω_n} = \frac{4.6}{ σ} (3.65)
