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welcome back to control system lectures in this video were going to cover gain and phase margins or sometimes referred to as just stability margins now youve probably heard the term gain and phase margin before may have been confused by one part of it or another I know I didnt really understand the topic when I was first taught it and I think it was because all of the important parts were spread out over multiple lectures and it was left up to me to tie it all together well Ill try to tie it all together here so that hopefully youll get the whole picture and in doing so youll understand why we use them before we can understand gain and phase margin we first need to understand gain and phase now I cover this in the first few minutes of the introduction to bode plots video but Ill sum it up here for completeness let me draw a linear time-invariant system G of S which acts on an input and generates an output when a sine wave is played through it its distorted based on the properti