Hi Francesco,
I understand that you are trying to create a Simscape Multibody model of a quadcopter and want to control its hovering height through a PID controller. However, when you click on the "Tune" button, you are getting extremely high values for the P, I, and D gains, leading to simulation instability.
Please note that PID tuning can be an iterative process, requiring multiple adjustments to achieve the desired control performance. Patience and careful observation of the system's behaviour during simulation can help you identify the appropriate PID gains for your quadcopter model.
Here are a few suggestions to address these issues:
- Start with small gains: Begin by setting small initial values for the P, I, and D gains. This can help prevent instability in the simulation. Gradually increase the gains as you fine-tune the controller.
- Time constants: The time constants in the PID controller can affect its response. Experiment with tuning the time constants to find a balance between responsiveness and stability. Increase the derivative time constant (D) to dampen oscillations and adjust the integral time constant (I) to address steady-state errors.
- Analyze the system dynamics: Check for any inherent instabilities or limitations in the quadcopter model. Ensure that the model accurately represents the physical dynamics of the quadcopter, including factors such as inertia, aerodynamics, and motor characteristics.
- Implement techniques like anti-windup and MPC (model predictive control): To prevent integral windup, which can lead to instability, consider implementing anti-windup techniques in your PID controller. These techniques can help limit the effect of integrator windup during large control errors.
Please refer to the following MathWorks documentation links for more information on PID controllers, “anti-windup”, and “MPC”:
Hope this helps!
