Important RGPV Question
EX-405 (Control System)
IV Sem, EX
UNIT 1 Modelling of Dynamic Systems
Q.1 What is a mason gain formula? Explain each component of the formula and mention its advantages over block diagram reduction techniques.
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Q.2 Obtain the overall transfer function C/R from the signal flow graph shown.
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Q.3 Determine the transfer function for the block diagram shown in Figure.
Distinguish between Open loop control system and closed loop control system.
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Q.5 Find the transfer function using Mason’s gain equation.
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Q.6 Determine the transfer function X1(s)/F(s) for the system shown below.
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Q.7 The block diagram of a unity feedback (negative) system is shown in figure. Determine the steady state error for unit ramp input when K-400. Also determine the value of K for which the steady state error to unit ramp will be 0.02.
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Q.8 What are open and closed loop transfer system? What are the components of control systems?
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Q.9 What is Mason’s gain formula? Simplify the given expression and find x5Β / x1
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Q.10 Write short notes Tacho Generators
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Q.11 State the advantages and disadvantages of closed loop system.
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Q.12 Specify the time domain specification.
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Q.13 State and explain the Mason’s gain formula.
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Q.14 Derive the transfer function and develop the block diagram of armature control DC servo motor.
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Q.15 Write short notes on (any two)
a) Servomotors
b) Potentiometer
c) Steeper motor
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UNIT 2 Time-domain Analysis of closed loop Systems
Q.1 Explain time response of first order system to unit step and unit ramp input. Find the steady state error response for both.
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Q.2 What are the standard test signals used in time domain analysis, explain each one in detail?
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Q.3 Discuss the derivative and integral control in detail.
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Q.4 Explain time response of first order system to unit step and unit ramp input. Find the steady state error response for both.Β
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Q.5 Discuss the proportional and integral control in detail.
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Q.6 A unity feedback-system has an open loop transfer function G(s)H(s) Design a phase lag compensator to achieve the followings specifications. Velocity error constants Kv = 5. Phase margin= 45Β°.
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Q.7 Derive the steady state error for type one system with unit step, ramp and parabolic inputs.
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Q.8 Consider a type I unit feedback system with an OLTF is specified that Kv = 12 sec-1Β and Ξ¦pmΒ = 40Β°. Design lead compensator to meet the specifications.
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Q.9 Obtain the steady state erroress of type-0 type-1 and type-2 systems for standard inputs.
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Q.10 Distinguish between Open loop control system and closed loop control system.
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Q.11 Name any two compensation techniques employed in the design of control systems.
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Q.12 Derive the response of second order system with unit step response.
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Q.13 What is Steady state error? Find the steady state error for a ramp input of a unity feedback control system with open loop transfer function
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Q.14 Find Kp, Kv, Ka for a system with open loop transfer function as
input is r(t)=3+t+tΒ².
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Q.15 A unity feed back system is characterized by an open loop transfer function G(s)=K/s(s+5). Determine the gain K so that the system will have a damping factor of 0.7. For this value of K determine the natural frequency of the system. It is subjected to a unity step input. Obtain the closed loop response of the system in time domain.
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Q.16 Derive the expressions for frequency domain specifications of a second order system.
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Q.17 Given the open loop transfer function of a unity feedback system G(s)=1/5(3+5)(1+2s). Draw the Bode plot and measure from the plot the frequency at which the magnitude is 0 dB.
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Q.18 What are the standard test signals used in time domain analysis?
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UNIT 3 StabilityΒ
Q.1 Comment on the stability of the system whose characteristic equation is given by s5+2s4+3s3+68Β²+25+10.
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Q.2 Sketch the root locus for a system having transfer function
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Q.3 Determine the RH stability of given characteristic equation, s4Β + 8s3Β + 18sΒ²+16s + 5=0.
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Q.4 Sketch the root locus for the unity feedback system whose open loop transfer function is
G(s)H(s) = Β K/ [s (s+4) (sΒ²+4s+20)]
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Q.5 Using Routh-Hurwitz criterion determine the relation between K and T so that unity feedback control system whose open loop transfer function given below is stable.
(ii) Determine the modified relation between K and T if all the roots of characteristic equation as determined in (i) are to lie to the left of the line S = -1 in S-plane.
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Q.6 What are the important features of open loop control system.
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Q.7 Derive the expression for steady state error of the closed loop system in terms of generalized error coefficients.
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Q.8 Define and derive the breakaway point on the root locus.
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Q.9 Explain Routh-Hurwitz stability analysis.
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Q.10 Discuss on stability of Root Locus.
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Q.11 Give basics steps for construction of Root Locus.
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Q.12 Explain the Routh’s criteria with an example. What are its limitations?
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Q.13 Determine the stability of the closed loop system whose open loop transfer is 5(2s+1)/s(s+1)(1+3s) (1+0.5s), using Routh-Hurwitz criterion.
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Q.14 What are the advantages of root locus?
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Q.15 Explain the procedure to draw root locus of a given transfer function.
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UNIT 4 FrequencyΒ
Q.1 Consider the following polar plot shown in Figure below. If now a pole at origin and a pole at s-1/T2Β are added, sketch the polar plot.
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Q.2 Sketch the bode plot for the following transfer function and determine phase margin and gain margin.
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Q.3 Draw the polar plot for open loop transfer function for unity feedback system.
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Q.4 State and explain Nyquist stability criteria.
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Q.5 Consider the following polar plot shown in Figure below. If now a pole at origin and a pole at s=-1/T2Β are added, sketch the polar plot.
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Q.6 Describe the procedure for developing the polar plot
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Q.7 Draw the Nyquist plot for the system whose open loop transfer function is
G(s)H(s) = K/[s(s+2) (s+10)] Determine the range of K for which the closed loop system is stable.
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Q.8 Sketch the bode plot for the following transfer function and determine phase margin and gain margin.
G(s) = 75 (1+0.2s)/[s (sΒ²+16s+100)]
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Q.9 Define the following terms:
i) Settling time and relative stability
ii) phase margin and gain margin.
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Q.10 Test the stability of the unity feedback system G when K=10 using Nyquist criterion and then find the range of K for stability.
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Q.11 Explain in detail about Gain and Phase Margins.
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Q.12 For a closed loop control system G(s)= 100 / s(s + 8), H(s) = 1. Determine the resonant peak and resonant frequency.
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Q.13 Draw Polar plot of
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Q.14 Write short notes Nyquist stability analysis
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Q.15 State and prove Nyquist stability theorem.
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UNIT 5 Design of Control SystemΒ
Q.1 What is lag-lead compensator? Under what conditions it is employed? Explain.
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Q.2 Obtain the solution of state equation and list the properties of state transition matrix.
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Q.3 Write a short notes on Eigen values and Eigen vectors
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Q.4 Draw the electrical circuit diagram that represents the Lead-Lag compensator and explain in detail.
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Q.5 Given the state equations below, write the transfer function for this system. Assume the output variable in the transfer function is y(t) which is equal to the state variable x1.
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Q.6 Derive an expression for peak time tp of an underdamped second order systems subjected to step input.
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Q.7 Write short notes on:
i) Need of compensator
ii) Asymptotes
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Q.8 Derive the expression of transfer function of lead compensator. What are the effects of phase lead compensation?
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Q.9 What is Lag-Lead compensator?
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Q.10 Find the state transition matrix for
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Q.11 What are Servomotors (AC and DC)?
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Q.12 What are Proportional and Derivative controller.
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Q.13 Write short notesΒ PID controllers
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Q.14 Discuss the effect of PD and PI on performance of a control system.
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— Best of Luck for Exam —
