2. Imagine that you are designing a controller for the fan in a wind tunnel, with the goal of achieving a desired air speed in the test section of the tunnel. You have a pitot tube that can measure the velocity of the air. Your controller compares the measured velocity to the desired velocity and adjusts the fan speed up or down as needed to achieve and maintain the target velocity. Because you will need to be making precise measurements in the tunnel, it is important that your system achieves and maintains the target speed as accurately as possible to ensure reliable experimentation results. You start by adding a simple proportional controller with the intention of changing your controller architecture based on your observations of the system behavior. With this system in mind, answer the following questions, assuming you are using a PID-type controller. You should need 3 sentences or less to fully answer these questions. a. On your first test of your system, you notice that the speed of the wind tunnel always settles to a final speed that is about 5% below your target speed. What design criteria is your system having trouble meeting? b. What kind of controller element would you add to fix this issue and why? C. After adding the controller element you identified in b, you observe that you have fixed your initial problem. However, the wind tunnel now speeds up to a velocity that is about 130% of your target speed and then oscillates at a decreasing amplitude around the target speed for about 65 seconds before maintaining the target velocity. What design criteria are now creating a problem? d. What kind of controller element would you add to fix this issue and why?