Gain, poles, and stability

Unity negative feedback · ME 545 Lecture 10

T(s) = K / (s³ + 18s² + 77s + K)

K = 1000Time

Routh first column

Python / SciPy unit-step simulations, zero initial conditions. Gain grid: −100 to 2400 in steps of 20, plus the exact boundary 1386. Time changes the displayed window. Plot axes rescale with gain.