Designing a PID Controller Using the Root Locus Method

In this video we discuss how to use the root locus method to design a PID controller. In addition to discussing the theory, we look at Matlab tools to enable this workflow. In addition, we demonstrate the effectiveness of the resulting controller on a real system. Finally, we discuss how this approach is generalizable to designing any linear controller.

Please ensure you have watched the following videos before this lecture:
-Introduction to Proportional, Integral, Derivative (PID) Control (TBD)
-Practical Implementation Issues with a PID Controller (https://youtu.be/yr6om0e0oAQ)
-Understanding and Sketching the Root Locus (https://youtu.be/gA-KOk3SAb0)
-Using the Control System Designer in Matlab (https://youtu.be/RPzFLzKkQGs)
-Designing a PID Controller Using the Ziegler-Nichols Method (https://youtu.be/n829SwSUZ_c)

Topics and time stamps:
0:00 – Introduction.
3:27 – Designing a PI controller.
12:34 – Proportional only controller on a real DC motor.
15:04 – Using the Control System Designer to design a PI controller.
28:51 – PI controller on a real DC motor.
31:31 – Designing a PID controller.
37:52 – Designing a P, I, Pseudo-D controller.
49:50 – Using the Control System Designer to design a P, I, Pseudo-D controller.
58:35 – P, I, Pseudo-D controller on a real DC motor.
1:00:24 – Generalization to general linear controller design.

Download the ExtractPIDGainsFromSecondOrderTransferFunction.m function at
http://faculty.washington.edu/lum/EducationalVideoFiles/Controls19/ExtractPIDGainsFromSecondOrderTransferFunction.m

Additional videos in this series:
-Using the Control System Designer in Matlab (https://youtu.be/RPzFLzKkQGs)
-Understanding and Sketching the Root Locus (https://youtu.be/gA-KOk3SAb0)
-The Routh-Hurwitz Stability Criterion (https://youtu.be/QWb9sq35cNk)
- Modeling a DC Motor with Ordinary Differential Equations (TBD)
-Introduction to Proportional, Integral, Derivative (PID) Control (TBD)
-Practical Implementation Issues with a PID Controller (https://youtu.be/yr6om0e0oAQ)
-Designing a PID Controller Using the Ziegler-Nichols Method (https://youtu.be/n829SwSUZ_c)
-Designing a PID Controller Using the Root Locus Method (https://youtu.be/Hk6YBO_A_PU)

Overview of engineering videos and curriculum located at http://faculty.washington.edu/lum/EducationalVideos.htm

Errata:
40:58 – I should have written a real pole, not real zero

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Видео Designing a PID Controller Using the Root Locus Method канала Christopher Lum