Control Systems Objective Questions & Answers – Set 7

The open loop transfer function of non unity negative feedback system is G(s) = ks/((s+1)(s+2)), then the number of root locus branches equal to

If the magnitude of G(jω)H(jω) at phase crossover frequency is 0.5. Find the gain margin of the given system?

A second order system has peak over shoot = 50% and period of oscillations 0.2 seconds. Find the resonant frequency?

The open loop transfer function of a unity feedback control system is G(s) = 1/((s(s+0.1s)(s+1)). The value of damping factor for which the resonant peek is equal to 1.4 is

The value of 'a' to give phase margin = 45° will be G(s) = (as+1)/s²

Which of the following is the correct expression for the transfer function of an electrical RC phase lag compensating network?

The magnitude of a transfer function G(jω)H(jω) at gain cross over frequency is

In frequency response analysis of second order system, the error at corner frequency is

For a second order under damped system subjected to unit step input the time response has first peak value to be 4 times the second over shoot. Determine the damping ratio ξ ?

Which of the following represents the value of resonant frequency (ω_r)?

the closed loop transfer function of a unity feedback control system is 9/(s² + 3s + 9), then the type of the system is

The lag compensator

A property of phase lead compensation is that the

Negative feedback in a closed loop control system

Resonant peak of a marginally stable system is

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

Find the relation of damped natural frequency (ω_d)

The closed loop transfer function of a system is 25/(s² + 25). The settling time of the system is

A second order under damped system has damping ratio of 0.3. Find the phase margin of the system?

A unity feedback control system has forward loop transfer function as e^-Ts/s(s+1). Its phase value will be zero at frequency ω1. Which of the following equations should be satisfied by ω₁?

The Laplace transform of a transportation lag of 5 seconds is e^-5s

If the bandwidth of the system is very large, the system response is

The phase margin of a system having the loop transfer function G(s)H(s) = 2√3/s(s+1) is

Find the conditions for the system to be stable?

In polar plots if the critical point '-1+j0' is enclosed then the system is --------

The characteristic equation for closed loop system is given as s³ + 2s² + 4s + k = 0. The value of k for which the system becomes just stable is

A transfer function is given as G(s) = (s²+9)(s+2)/(s+4)(s+3)(s+9) The steady state sinusoidal response will become zero at a frequency response is

A second order system has F(jω) = 100/(100 - ω² + 10√2 jω). Find the resonant peak?

A system has poles at 0.01 Hz, 1 Hz and 80 Hz; zeros at 5 Hz, 100 Hz and 200 Hz. The approximate phase of the system response at 20 Hz is

Find the bandwidth of the system, when rise time of the system is give as 1msec?