In a typical closed loop system, the element that realizes the control input calculated by the controller and applies it to the plant is called as the plant controller actuator sensor

In a typical closed loop system, the element that realizes the control input calculated by the controller and applies it to the plant is called the Actuator.

Here's a step-by-step breakdown:

1. The Controller: This is the part of the system that calculates the necessary control input. It does this by comparing the desired output (set point) with the actual output (process variable). The difference between these two values is the error, which the controller uses to calculate the control input.

2. The Actuator: This is the part of the system that realizes the control input calculated by the controller. It takes the control input and converts it into a physical action that can be applied to the plant. For example, if the control input is a signal to increase the temperature, the actuator might be a heater that can increase the temperature of the plant.

3. The Plant: This is the process or system that is being controlled. It could be a physical system like a motor or a chemical process.

4. The Sensor: This is the part of the system that measures the actual output of the plant. It sends this information back to the controller, completing the feedback loop.

So, in summary, the actuator is the element that realizes the control input calculated by the controller and applies it to the plant in a typical closed loop system.