GATE 2023 Control Systems Quiz 14

For a control system given by characteristic equation, s³ + Ks² + (2K + aK – 1)s + 2aK = 0. The condition for stability is

If the plot shown represents the pole-zero plot of open loop transfer function H(s). The value of H(s) at s = 1 is 10. The unity negative feedback closed loop transfer function is

DC gain of a transfer function of a system is:

A polynomial, s³ + 2s² – 2s + 4. The number of roots of the polynomial on the open left half of complex s-plane is-

The Routh – Hurwitz array is given for a third order characteristic equation as follows

The values of a, b, c, d are respectively, for which the system should be marginally stable

The characteristic equation of a system is given as s³ + 9s² + 4s + k = 0

If the system is marginally stable then