ME537 Flight Dynamics: Nailing Your MATLAB State-Space Models

Published: Feb 28, 2026  |  Aerospace Engineering

The ME537 Atmospheric Flight Dynamics and Control coursework is a heavy test of both your aerospace math and your programming skills. You aren't just calculating derivatives—you are expected to produce clean, executable MATLAB code to prove it.

1. Validating the State-Space Matrices

In Exercise 2, when you move from the longitudinal derivatives to your mass matrix (M) and standard state-space form (x = Ax + Bu), the biggest mistake students make is failing to account for Z_w-dot and M_w-dot in the mass matrix inversion. Verify your A matrix outputs in MATLAB against the reference matrix immediately!

2. Identifying Phugoid and Short-Period Modes

When you run MATLAB's eig(A), you will get complex pairs. The Pro Tip: The Short-Period mode is always the complex pair with the larger imaginary part (higher frequency). Plot these carefully on your s-plane and label your constant damping ratio lines (ζ = 0.05 and 0.5).

3. Lateral-Directional Dynamics

For Exercise 5, remember that your angles must be in radians. When simulating the 1° aileron step response over 100 seconds using lsim() or step(), ensure you convert 1° to `pi/180` before feeding it into your input vector.