What method was introduced by W.R. Evans in 1948 for analyzing the stability of control systems?

Root locus method

Fill in the blank: The stability of a system depends on the location of ______ in the s-plane.

Closed-loop poles

True or False: The Routh-Hurwitz criteria state that a system is stable if all terms in the first column of the Routh table are positive.

True

Riddle: I change with the gain of the system, affecting the poles' positions in the s-plane. What am I?

System gain (K)

Which plot helps in determining the gain margin, relative stability, and settling time of a control system?

Root locus plot

Fill in the blank: The angle condition for root locus states that the angle of G(s)H(s) must equal ______.

±(2q + 1)180°

True or False: The root locus is not symmetric about the real axis.

False. The root locus is symmetric about the real axis.

What do the branches of the root locus represent in relation to poles and zeros?

Branches start at open-loop poles and end at finite zeros or infinity.

Riddle: I am the point where asymptotes meet, guiding the path of root locus in the s-plane. What am I?

Centroid

Fill in the blank: The number of branches in the root locus equals the number of ______.

Open-loop poles