It's just a well understood model that can handle certain physical phenomena reasonably well.
Let's say you're doing motion control. You have a linear motor, an encoder, and a load, and you want to control its position and velocity. The command signal is current. How do you approach that with a "simple explicit control logic" that will outpeform some flavour of PID (which most commercial motion controllers use).
Let's say you're doing motion control. You have a linear motor, an encoder, and a load, and you want to control its position and velocity. The command signal is current. How do you approach that with a "simple explicit control logic" that will outpeform some flavour of PID (which most commercial motion controllers use).