Control System MCQs

The transfer function of a phase-lead compensator is given by 1+ 3Ts 1+Ts where T > 0 The maximum phase-shift provided by such a compensator is It

Consider a unity-gain feedback control system whose open-loop transfer function is as +1 G(s) = s2 The value of 'a' so that the system has a phase-margin equal to ? is approximately equal to

Consider a unity-gain feedback control system whose open-loop transfer function is as +1 G(s) = s2 With the value of 'a' set for a phase-margin of ?, the value of unit-4 K(s + 1)(s3 + as2 + 2s + 1) impulse response of the open-loop system at t = 1 second is equal to

Which one of the following function is strictly bounded?

Four the function approximation around

If the closed-loop transfer function of a control system is given as s- 5 T(s) = , then it is (s + 2)(s + 3)

Consider the function f(x) = x2 - x -2. The maximum value off(x) in the closed interval 1-4, 41 is

The solution of the differential equation 2 d2Yk --2- = y - y2 under the boundary dx conditions (i) y = yi at x = 0 and (ii) y = y2 at x = 00, where k, y1 and y2 are constants, is

The transfer function of a plant is T(s) 5 . The second-order (s+5)(s2 +s+1) approximation of T(s) using dominant pole concept is `(a) (s+ 5)(s + I)