MATLAB: TRYING TO SOLVE SIMPLE SYSTEM OF DIFFERENTIAL EQUATIONS

Question

Anyone knows how to stabilize the Systems of Differential Equations attached?? Breaking my head trying to figure it out but can't find the problem.

The equations are the ones corresponding to a very very simplified dynamic model of a motorcycle. Basically what I am trying to do its include a simple PID controller to simulate a "pseudo" virtual rider and hopefully solve the problem with that, as the system by itself it's naturally unstable.

Answer 1

Open the PID Controller block dialog, and press the "tune" button.You get the PID Tuner app open and it says that it could not find the stabilizing controller.

Reduce the response time by clicking on the "slower" button in the top slider twice. You get this:

Press "Update block" to apply the gains.

You get these block parameters:

Click ok, run the simulation and look at the reference and feedback signals:

Looks like controller is doing a good job.

HTH