GATE 2023 Control system Quiz 62

The closed loop transfer function of a system is

The number of poles having positive real part is

Find the number of poles in the left half plane (LHP), the right half plane (RHP) and on the jw-axis for the feedback control system as shown. Is the system stable?

The characteristic polynomial of a feedback control system is given by

R(s) = s⁵ + 2s⁴ + 2s³ + 4s² + 11s + 10

For this system, the numbers of roots that lie in the left hand and right hand s-plane respectively, are

The forward-path transfer function of a unity feedback system is

The range of K, that will make the system stable, is

Characteristic equation is S⁴ + 2S² + 1 = 0. The number of right hand poles, left hand poles and poles on jω axis are respectively