Reference no: EM13865199
1. Objective:
Design a discrete (Z-domain) proportional plus integral plus derivatives (PID) controller for the type-1 plant derived from Lab 2. The controller should satisfy the following specifications:
1. Steady-state error to a step input = 0
2. Percentage overshoot to a step input less than 5%
3. Setting time less than 1 second
Also the following specifications are required as they are good control system practice:
Gain margin greater than 15 dB
Phase margin greater than 45 degrees
2. Procedure:
Using continues plant model for the typw-1 system, design a discrete PID controller to meet the previous specifications. Begin by discretizing the plant (with the ZOH). Next, using pole-zero cancellation, select and place new poles and stimulate your responses with the controller designed. If the design specifications are not met, tweak the controller.
3. Requirement:
Pre-laboratory assignments should be typed and not handwritten. Also, provide justification of your design with figures and charts. The first step should be to show the response of the uncontrolled plant to a step input. From there, examine the dynamics and justify why a controller is needed. In this case, the system is type-1 but a PID controller is chosen to drive any steady-state error that may exist to zero.
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