Why is Gain = 1 at phase shift of 180deg drive a system to unstable state?

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I know the transfer function of feedback system, when loop gain become negative 1, denominator becomes zero, and the gain shoots up to infinity. All nice and simple on paper but I need a intuitive explanation for this thing (i.e., Barkhausen criterion ).
If any control, electronics engineers or hobbyist help to grasp the concept.
Thanks in advance 🙂

In: Engineering

3 Answers

Anonymous 0 Comments

Consider (10-s)/s(s+2) vs 0.1/(s-0.01)^2 +0.09. Both are second order gain functions one has infinite gain and unbound step response, the other has non-infinite gain and unstable step response.

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