This is Ray Phan's free video lecture page for lectures on Electrical & Computer Engineering and related topics. Videos will be placed on this website as I teach courses, or when I TA courses where it merits video capture. The courses that I have taught and are available online on my website so far are: - ELE 635 - Communication Systems: Winter 2009 - ELE 639 - Control Systems: Spring 2009, Spring 2010, Spring 2011 - MTH 820 - Image Analysis: Winter 2010, Winter 2011. Ray Phan is a Ph.D. candidate with the Department of Electrical and Computer Engineering at Ryerson University in Toronto, Ontario, Canada. He is currently a Vanier Canada Graduate Scholar, the most prestigious and highest valued Ph.D. scholarship to be awarded for Ph.D. study in Canada. For more information about myself, please see: http://www.ee.ryerson.ca/~rphan/RayCV.pdf
In this next part, I go through examples on how to determine the second-order underdamped model using the closed-loop Bode plot, Gain and Phase Margin analysis, and solving for the lead and lag compensator parameters for a control system.
In this first part of the final exam review, I go through two detailed examples on how to sketch a Root Locus plot, as well as determining the right gain required to move a particular pole to a desired location along the root loci.
In this final part of the course, I go through examples of how to calculate the parameters for a lag compensator, for both the simplified and analytical method. I end the course with the design of a lead-lag compensator, using only the simplified method. Analytical methods do not apply for lead-lag, as analytical is only designed for one controller at a time, and not two.
In this lecture, I go through how to design a lead compensator using the analytical method, followed by a couple of examples, as well as covering how to design a lag compensator using the simplified and analytical method. Examples are in the next video.
In this part, I introduce designing controllers in the frequency domain, which are more powerful tools in getting the right response of a control system than the time-domain based methods that we've covered so far. I go into detail regarding the Lead Compensator design philosophy, specifically the simplified method.
In this lecture, I derive the analytical equation for determining the phase margin of the Second-Order Underdamped Model. After, I go through how to calculate the second-order underdamped parameters using only the open-loop Bode plot, followed by examples.
In this next part, I go through a couple more examples on calculating Gain and Phase Margin, then do a few more examples on how to calculate Second-Order Underdamped Model parameters using the closed-loop Bode / frequency domain plots of an unknown control system.
In this lecture, I go through the definitions of Gain Margin and Phase Margin, and how they relate to the frequency response of a control system. I then go through a couple of examples on how to calculate values from the open-loop frequency domain / Bode plot. These concepts are useful for later on in the course, when we start designing controllers in the frequency domain.
In this part, I cover the rest of the basic building blocks for frequency domain plots, and then do a couple of examples. Specifically, I sketch the Bode plot of a given transfer function, as well as determining the second-order underdamped model parameters from a magnitude plot.
NOTE: There was no lecture this morning, as the midterm exam took place. In this class, we go through the basics of frequency response plots, and Bode plots, which are the linear approximation to these. I go through an introduction, as well as starting on some mathematical analysis on some of the basic building blocks.