Assignment
1.) Assume that Figure 11.25(a) is the response curve of a control system to a step function. Determine the following parameters: rise time, overshoot, and settling time.
2.) A robot arm was commanded to go to a new position. Its response was recorded and is shown in Figure 11.41. Determine the rise time, overshoot, settling time, and steady-state error of the response, approximately.
3.) In your own words, explain the principle of proportional control
4.) A proportional controller for a rotating antenna has a gain KP of 5 in · oz/deg. The antenna was initially pointing due south but was then commanded to point southeast.
a.) Find the initial torque supplied to the antenna.
b.) What is the torque when the antenna gets to within 5° of its set point?
5.) A proportional control system is to be used to control the wing flaps of a jet airplane. The wind load is expected to cause as much as 600 in · lb of torque. The system should be able to keep the flaps to within 5° of the set point. Find the gain KP necessary to meet the requirements.
6.) Explain how the addition of integral feedback in a proportional control system eliminates steady-state error.
7.) Explain how derivative feedback makes a control system more responsive to rapid change and how it reduces overshoot.