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The pole-zero plot shown below represents a

F2 Madhuri Engineering 21.07.2022 D16

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UPPSC AE Electrical 29 May 2022 Official Paper I
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  1. Lag-lead compensating network
  2. PD controller
  3. PID controller
  4. None of the above

Answer (Detailed Solution Below)

Option 1 : Lag-lead compensating network
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Concept:

The speed of response and, the steady-state error can be simultaneously improved if both phase-lag and phase-lead compensation networks are used. However, instead of using two separate lag and lead networks, a single network combining both can be used.

F2 Madhuri Engineering 21.07.2022 D17

Lag-lead compensator:

F2 Madhuri Engineering 21.07.2022 D1

In the lag-lead compensator network, the lag compensator is nearer to the origin.

Lead-lag compensator:

F2 Madhuri Engineering 21.07.2022 D2

In the lead-lag compensator network, the lead compensator is nearer to the origin.

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More Compensators Questions

Q1.The transfer function of the lead compensator is:
Q2.In a unity-gain feedback control system, the plant  \(\rm P(s)=\frac{0.001}{s(2s+1)(0.01s+1)}\) is controlled by a lag compensator \(\rm C(s)=\frac{s+10}{s+0.1}\) The slope (in dB/decade) of the asymptotic Bode magnitude plot of the loop gain at 𝜔 = 3 rad/s is ________ (in integer) 
Q3.Which of the following statements in the context of stability margins are true? a. The increase in phase margin indicates an increase in damping factor. b. A lag compensator tends to decrease the phase margin of the system. c. A lead compensator tends to increase the phase margin of a system. d. A lead compensator improves the transient response of the system.
Q4.A system with impulse response is essentially a _______ compensator and used as a ___ filter.
Q5.Which of the following is true for the network shown below -
Q6.The pole-zero plot shown below represents a
Q7.Given a badly underdamped control system, the type of cascade compensator to be used to improve its damping is
Q8.A ______ is suitable for systems with unsatisfactory transient response but it provides only a limited improvement in steady-state response.
Q9.Match the following :- 1. Sink a. Improve the steady state behavior of a system  2. Lag compensator b. Output node in the signal flow graph  3.  Cut­-off rate c.  Ratio of actual damping to critical damping 4. Damping Ratio d. The slope of the log-magnitude  curve near the cut-­off
Q10.Which of the following is/are used, when the cascade compensator does not employ pure integration?

More Controllers and Compensators Questions

Q1.Consider a unity-gain negative feedback system consisting of the plant G(s) (given below) and a proportional-integral controller. Let the proportional gain and integral gain be 3 and 1, respectively. For a unit step reference input, the final values of the controller output and the plant output, respectively, are \(\rm G(s)=\frac{1}{s-1}\)
Q2.Which of the following is considered as a controller in an automatic toaster system ?
Q3.The transfer function of the lead compensator is:
Q4.Given below are two statements: Statement I: In proportional control, the actuating signal for the control action in a control system is proportional to the error signal Statement II: It is desirable that control system be over damped for the point of view of quick response In the light of the above statements, choose the correct answer from the options given below:
Q5.In a unity-gain feedback control system, the plant  \(\rm P(s)=\frac{0.001}{s(2s+1)(0.01s+1)}\) is controlled by a lag compensator \(\rm C(s)=\frac{s+10}{s+0.1}\) The slope (in dB/decade) of the asymptotic Bode magnitude plot of the loop gain at 𝜔 = 3 rad/s is ________ (in integer) 
Q6.A proportional-integral-derivative (PID) controller is employed to stably control a plant with transfer function  \(\rm P(s)=\frac{1}{(s+1)(s+2)}\) Now, the proportional gain is increased by a factor of 2, the integral gain is increased by a factor of 3, and the derivative gain is left unchanged. Given that the closed-loop system continues to remain stable with the new gains, the steady-state error in tracking a ramp reference signal ________
Q7.In the closed loop control system, proportional integral (Pl) controller is preferred compared to proportional controller (P): 
Q8.Which of the following statements in the context of stability margins are true? a. The increase in phase margin indicates an increase in damping factor. b. A lag compensator tends to decrease the phase margin of the system. c. A lead compensator tends to increase the phase margin of a system. d. A lead compensator improves the transient response of the system.
Q9.A system with impulse response is essentially a _______ compensator and used as a ___ filter.
Q10.Which of the following is true for the network shown below -
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More Control Systems Questions

Q1.A unity feedback system is characterized by the open-loop transfer function \(G(s)=\frac{100}{s(5 s+10)(2 s+10)}\) The steady-state errors for unit-step and unit-ramp inputs are :
Q2.In the circuit shown switch is closed at t = 0. The time constant of the circuit is :
Q3.The loop transfer function of a closed-loop control system is given as : \(G(s) H(s)=\frac{k(s+1)}{s(s+2)(s+3)}\) The centroid of the asymptotes in root locus is :
Q4.For a control system having fourteen poles and two zeros, the slope in its magnitude plot for high frequency asymptote will be :
Q5.The Routh Array is as below : \(\begin{array}{lllll} \mathrm{S}^{6} & 1 & 8 & 20 & 16 \\ \mathrm{S}^{5} & 2 & 12 & 16 & \\ \mathrm{S}^{4} & 2 & 12 & 16 & \\ \mathrm{S}^{3} & 0 & 0 & & \end{array}\) The row of zero of this array will be replaced by coefficients of 
Q6.The number of roots in the left half of the s-plane for a system having characteristic equations : s3 + 5s2 + 7s + 3 = 0 is : 
Q7.Explain the pattern and trend of public expenditure on social services in the post reforms period in India. To what extent this has been in consonance with achieving objective of inclusive growth? 
Q8.The Nyquist criterion for stability states that an amplifier is unstable if the Nyquist curve encloses the -1 + j0 point, and the amplifier is stable if the curve does not enclose this point. If Aβ
Q9.The phase margin of a system with the open-loop transfer function \(G(s) H(s)=\frac{1-s}{(s+1)(s+2)}\) is
Q10.The phase margin of a system having the loop transfer function \(G(s) H(s)=\frac{2 \sqrt{3}}{s(s+1)}\) is
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