19951qctrl
Bode diagrams are generated from output response of the system subjected to which of the following input
19951tctrl
According to Bode stability criterion, a system is unstable if the open loop frequency response exhibits an amplitude ratio exceeding unity at frequency for which phase lag is
1998124ctrl
A first order system with a time constant of 1 min is subjected to frequency response analysis. At an input frequency of 1 radian/min, the phase shift is
1999127ctrl
A sinusoidal variation in the input passing through a linear firstorder system
2000127ctrl
2000128ctrl
2002115ctrl
A first order system with unity gain and time constant \(\tau\) is subjected to a sinusoidal input of frequency \(\omega=1/\tau\). The amplitude ratio for this system is
2002216ctrl
The frequency response of a first order system, has a phase shift with lower and upper bounds given by
201024ctrl
The transfer function, \(G(s)\), whose asymptotic Bode diagram is shown below, is
201225ctrl
199219bctrl
For the loop above, determine:
(i) The maximum gain for stable operation.
{#1}
(ii) The corresponding frequency of oscillation (rad/min).
{#2}
199726ctrl
The open loop transfer function for a process is \(\dfrac {1}{4(3s+1)^4}\), where the time constant is in minutes.
Determine:
(i) the crossover frequency (rad/min)
{#1}
(ii) the ultimate gain.
{#2}
200014ctrl
A feedback control loop with a proportional controller has an open loop transfer function \(G_L(s) = \dfrac {K_c}{s(5s+1)^2}\) where time is in minutes.
(i) The crossover frequency in radians/min = _________
{#1}
(ii)The ultimate controller gain = _________
{#2}
20068485ctrl
For the system shown below, \(G_1(s) = \dfrac {1}{\tau _1s+1}\), \(G_2(s)=\dfrac {1}{\tau _2s+1}\) and \(\tau _2=2\tau _1\).
When the system is excited by the sinusoidal input \(X(t) = \sin \omega t\), the intermediate response \(Y\) is given
by \( Y = A\sin (\omega t+\phi )\).
(i) If the response \(Y\) lags behind the input \(X\) by 45\(^\circ \) and \(\tau _1=1\), then the input frequency \(\omega \) is
{#1}
(ii) For the same input, the amplitude of the output \(Z\) will be
{#2}
1998221ctrl
The frequency response of a dynamic element shows a constant magnitude ratio at all frequencies. The element exhibits a negative phase shift at all frequencies. The absolute value of the phase shift increases linearly with frequency. The element has the
transfer function
2000223ctrl
2001218ctrl
An ideal PID controller has the transfer function \(\left[1+\dfrac{1}{0.5s} + 0.2s\right]\). The frequency at which the magnitude ratio of the controller is 1, is
200377ctrl
Find the ultimate gain and frequency for a proportional controller in the case of a process having the following transfer function
\[ G_p(s) = \frac{1}{(4s+1)(2s+1)(s+1)} \]
200480ctrl
Consider a system with openloop transfer function
\[ G(s) = \frac{1}{(s+1)(2s+1)(5s+1)} \]
Match the range of \(\omega\) (frequency) in Group I with the slope of the asymptote of the \(\log \text{AR}\) (amplitude ratio) versus \(\log \omega\) plot in Group II.
Group I  Group II 

(P) \(0 < \omega < 0.2\) 
(1) \(\quad 5\) 
(Q) \(\omega > 1\) 
(2) \(\quad 3\) 
(3) \(\quad 2\) 

(4) \(\quad 1\) 

(5) \(\quad \)zero 
200550ctrl
The value of ultimate period of oscillation \(P_u\) is 3 minutes, and that of the ultimate controller gain \(K_{cu}\) is 2. Select the correct set of tuning parameters (controller gain \(K_c\), derivative time constant \(\tau_D\) in minutes, and the integral time constant \(\tau_I\) in minutes) for a PID controller using ZieglerNichols controller settings.
200658ctrl
A process is perturbed by a sinusoidal input, \(u_t = A \sin \omega t\). The resulting process output is \(Y(s) = \dfrac{K A\omega}{(\tau s+1)(s^2+\omega^2)}\). If \(y(0) = 0\), the differential equation representing the process is
EE2013A15ctrl
The Bode plot of a transfer function \(G(s)\) is shown in the figure below.
The gain \((20\log G(s))\) is 32 dB and 8 dB at 1 rad/s and 10 rad/s respectively. The phase is negative for all \(\omega\). Then \(G(s)\) is
IN201423ctrl
201751ctrl
201844ctrl
201949ctrl
For the closed loop system shown in figure, the phase margin (in degrees) is ___________
IN201446ctrl
1999218ctrl
Each item given in the lefthand column is closely associated with a specific characteristic listed in the righthand column. Match each of the items with the corresponding characteristic.
I. Transportation lag
II. Control valve
Last Modified on: 02May2024
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