Stony Brook University MEC 411 fnukarmanorbu

MEC 411 Lab # 2 Digital PID Speed Control of a Turntable Sung Min Park ID 107047894 Jae Young Jang ID 108887378 Ki-Hoon Kim ID 106750344 Group 20 Department of Mechanical Engineering Stony Brook University Oct ...

MEC 411 Lab # 2 Digital PID Speed Control of a Turntable Sung Min Park ID 107047894 Jae Young Jang ID 108887378 Ki-Hoon Kim ID 106750344 Group 20 Department of Mechanical Engineering Stony Brook University October 2, 2013 Table of Contents 1 | P a g e Abstract 2 | P a g e Introduction 3 | P a g e Origin of PID Controller Closed Loop Feedback Transfer Function PID Turntable Speed Control system and the PID Transfer Functions Derivations of the transfer functions for each component of PID analog circuit Experimental Procedure 20 | P a g e Results 22 | P a g e Discussion 30 | P a g e Conclusions 35 | P a g e Reference 36 | P a g e Appendix 37 | P a g e Abstract MEC411 Laboratory Experiment 2 PID Speed control of a Turntable Fall 2013, Stony Brook University 2 | P a g e In this laboratory experiment, an implementation of PID turntable speed control system that satisfies certain performance specifications has been studied and approached. The targeted objective specifications in the design are: Percentage overshoot is to be less than 10%, settling time to within 2% of the final value is to be less than 500ms, and Rise time is to be less than 200ms. To satisfy such specification, the input gain parameters, Kp, Ki, and kd, (proportional, integral, and derivative parameters) in the form of the resistance values (altering the resistance values of the trimmers), were adjusted manually to achieve the targeted state. This system implementation required a building of an analog circuit of the PID controller connected to a waveform generator and the DC motor with tachometer. Then, the actual speed of the turntable was measured by the tachometer, which then its data was collected via oscilloscope and to the computer. In the experiment, Rp2, Ri, and Rd1 (of PID controller) were tuned to 6.826 K Ω , 337 Ω , and 2.433 K Ω respectively, and obtained 0.0325 seconds (Rise Time), 0.048 seconds (Settling Time), 7.8% (Overshoot), and 1.078 volt (Peak Voltage). Finally, the experimental data through manual controlling was observed and compared to the theoretical values produced by MATLAB simulation code (Appendix B.1).