Sure! Here are some examples of use cases where MPC might be chosen over PID, or vice versa:

MPC:
- Chemical processes with constraints on state variables, such as temperature or pressure, where traditional feedback controllers like PID may not be able to handle constraints effectively.
- Autonomous vehicles, where predictive control is needed to plan optimal trajectories while avoiding obstacles and following traffic rules.
- Power system control, where the objective is to optimize the power generation and distribution while maintaining stability and adhering to physical constraints.

PID:
- Temperature control in industrial processes, where PID control is often used due to its simplicity and ease of implementation.
- Basic servo control applications, where fast response and stability are the primary requirements.
- Motion control of robotic systems, where PID control can provide sufficient performance and robustness.

These are just a few examples, and the choice between MPC and PID ultimately depends on the specific requirements and characteristics of the system being controlled.
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