Stabilization problem: Given a plant, select a sensor and an actuator, and design a controller so that the output of the closed-loop system has good stability.

If we take a closer look at a human feedback system when driving a car, we can see that the human actually has to perform several subtasks:

  • Sensing: Observe the car position.
    • In general, a sensor measures a physical variable that can be used to deduce the behavior of the concerned output, such as the deviation of the car position, and turn it into a signal, usually an electrical signal, that the controller can read. The controller, often a computer or an electric circuit, takes the reading from the sensor, determines the action needed to correct the car position, and sends the decision to an actuator.
  • Control: Make decisions regarding which actions to take
    • The controller is typically a computer or an electric circuit that the reading from the sensor, determines the action needed to correct the car position, and sends the decision to an actuator.
  • Actuation: Exercise his/her decision and influence the motion of the car.
    • The actuator then generates the quantity which influences the plant.