MEC 411 Lab # 3
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
Dec
...
MEC 411 Lab # 3
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
December 5th, 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
Data Acquisition System (DAQ) and LABVIEW programming
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 design experiment, an implementation of PID turntable speed control
system that satisfies certain performance specifications has been thoroughly
studied and approached. Our final design will then be submitted for a new contract
for a turntable speed control system that satisfies given performance and feature
specifications. 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, the Rise time is to be less than 200ms, and a combination of
self-authored software with a Data Acquisition (DAQ) interface. 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 results obtained
experimentally was compared to theoretical results obtained using MATLAB
(Appendix B.1), and to experimental results from the previous investigations so as
to demonstrate the efficiency of our design.
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