Solving Ordinary Differential Equations (ODEs) Solving with Matlab and Simulink

Tutorial files that present several methods to solve Ordinary Differential Equations (ODEs) with Matlab and Simulink. These files were used for Lecture 4 of the course AEROSP 470: Control of Aerospace Vehicles offered at the University of Michigan in the Winter 2021 semester. An associated video is available in this YouTube link.

Files

• lsim_Example.m : Shows how to solve an ODE using lsim.
• ode45_Example.m : Shows how to solve an ODE using ode45.
• plot_Simulink_Data_Example.m : Runs and plots the results of simulink_Comparison_Plot.slx.
• simulink_Example.slx : Shows how to solve an ODE using different methods in Simulink.
• simulink_Comparison_Plot.slx : Same as simulink_Example.slx, shows how to send Simulink results to Matlab for plotting. Used by plot_Simulink_Data_Example.m.
• SS_vs_TF_Simulink.slx : Shows how to solve an ODE using Transfer Function and State Space blocks in Simulink.