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Which of the following is/are used, when the cascade compensator does not employ pure integration?

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  1. Lead compensator only
  2. Lag compensator only
  3. Neither lead nor lag compensator
  4. Both lead and lag compensators

Answer (Detailed Solution Below)

Option 1 : Lead compensator only
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Detailed Solution

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Phase Lead Compensator:

F1 Savita Engineering 2-8-22 D21

  • A lead compensator provides a positive phase shift for increasing the value of frequencies from 0 to ∞.
  • It is also known as a differentiator circuit.
  • For a lead network, zero is nearer to the origin.
  • It is used to improve the transient response of the system.
  • It increases the damping of the system.
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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 \(\rm G(s)=\frac{1}{s-1}\)
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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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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 :
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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 
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