The classical notions of gain margin and phase margin (Gm and Pm) which are among the fundamental topics in undergraduate control education have some confusing subtleties especially for students. These subtleties are in part due to the inherent shortcomings of the traditional definitions, and in part due to false guidelines provided by some classical texts. In this work these problems are discussed and settled. In particular, a new definition of Gm is proposed to better capture the underlying philosophy of being a measure of robustness. The false guidelines and claims are also revisited and rectified. The arguments are supported by several instructive NMP examples which are missing in the classical texts. KeywordsControl Engineering Education; Gain Margin; Phase Margin; MATLAB
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