Sl No

Year

MonthUnit

Part

Qn No

Detailed Questions

Marks

TestQn

UNIT I

12014May1A1List the advantages and disadvantages of open loop control systems.2U1 FH

22014May1A2What are the applications of synchros?2U1 SH

32013Nov1A1Define transfer function.2U1 FH

42013Nov1A2What are analogous systems?2

52013May1A1Compare closed and open loop system2

62013May1A2State the basic elements for the modeling in translational and rotational systems.2U1 SH

72012Nov1A1What are the advantages of closed loop control system?2

82012Nov1A2Define transfer function.2M2

92012May1A1Determine the type and order of the following systems

2

102012May1A2What is the difference between AC servo motor and 2 phase induction motor?2U1 SH

112011Nov1A1Give an example for open loop and closed loop control systems.2M1

122011Nov1A2Write Masons gain formula.2M1

132011May1A1What are the advantages of signal flow graph?2U1 SH

142011May1A2Why negative feedback is preferred in control system?2U1 FH

152010Nov1A1What are the three basic elements in electrical and mechanical systems?2M2

162010Nov1A2Write down Masons gain formula2

172010May1A1List out the advantages of closed loop control systems.2

182010May1A2State transfer function of a system.2

192009Nov1A1What are the 2 assumptions to be made while deriving transfer function of electrical systems?2U1 FH

202009Nov1A2Define signal flow graph.2

212014May1B11.aWrite the differential equation governing the mechanical system and draw the force current electrical analogy

16

U1 FH

11.bFor the given signal flow graph find C(s)/R(s) using Masons gain formula.

16

222013Nov1B11.a(i)Obtain the mathematical model of an accelerometer.8

(ii)Obtain the differential equations of a mechanical system as shown in fig.

8

11.b(i) Obtain the mathematical model of an armature controlled DC motor.8

(ii)Write the differential equation for the electric circuit shown in fig .hence find

8

232013May1B11.aFind the overall gain for the signal flow graph shown:

16U1 SH

11.bWrite the differential equation governing the mechanical rotational system and draw the force voltage and force current electrical analogous circuits and verify by writing mesh and node equations.

16

242012Nov1B11.aObtain the transfer function for the mechanical system shown below

16

11.b

For the system represented by the following equations find the transmission function X(s)/U(s) by signal flow graph technique.16

252012May1B11.aDetermine the transfer function C(s)/R(s) of the system shown in fig below using (i) block diagram reduction technique (ii) Masons gain formula.

16

11.bExplain the working principle of a synchro and how it works as error detector.16

U1 SH

262011Nov1B11.aObtain the transfer function of the mechanical system shown in fig. Hence draw force voltage analogous.

16

11.b(i)Using block diagram reduction technique find the transfer function C/R

8

(ii)For the given signal flow graph find C(s)/R(s) using Masons gain formula.

8M2

272011May1B11.aWrite the differential equations governing the behavior of the mechanical system shown in fig. Draw the force voltage and force current electrical analogous circuits and verify by writing mesh and node equations.

16

11.bUsing block diagram reduction technique find the transfer function C/R for the system shown in fig.and verify it by using signal flow graph method.

16

M2

282010Nov1B11.aFor the system represented by the block diagram shown in the fig evaluate the closed loop transfer function when the input R is (i) at station I (ii) at station II

16U1 FH

11.bObtain the transfer function of the following mechanical system as shown in fig.

16

M1

292010May1B11.a(i) Discuss the mathematical modeling of fundamental components of mechanical translational system.6

(ii) Obtain the mathematical model of the mechanical system shown in fig.

10

11.b(i) Using block diagram reduction technique find C(s)/R(s)

8

(ii) Write detailed notes on synchros8

302009Nov1B11.aWrite the differential equations governing the mechanical systems shown in fig. Draw the force voltage and force current electrical analogous circuits and verify by writing mesh and node equations.

16

11.bUsing block diagram reduction techniques find closed loop transfer function of the system whose block diagram shown in fig.

16

UNIT II

312014May2A3What are standard test signals used in control systems?2U2 FH

322014May2A4What is the effect of PD controllers on the performance of the system?2U2 SH

332013Nov2A3Give the transfer function G(s) of a PID controller.2U2 SH

342013Nov2A4For a unity feedback control system shown in fig, find the ratio of time constants of open loop response to closed loop response.

2

352013May2A3Find the acceleration error coefficient for 2U2 FH

362013May2A4State the effect of PI and PD controller on system performance.2

372012Nov2A3What is meant by time constant of the system?2M1

382012Nov2A4Determine the type and order of the system 2U2 FH

392012May2A3What is the effect of PD controllers on the performance of the system?2

402012May2A4Draw the unit step response of second order system for following pole locations(a) Pure imaginary(b) Complex conjugate near to imaginary axis2

412011Nov2A3What is type and order of the system?2U2 SH

422011Nov2A4What are the advantages of generalized error series?2

432011May2A3List the standard test signals used in analysis of control system.2M1

442011May2A4Define steady state error of a system.2M2

452010Nov2A3What are the difference between steady state and generalized error coefficients?2

462010Nov2A4What is meant by peak overshoot?2U2 FH

472010May2A3Distinguish between steady state and transient response of the system.2

482010May2A4Define settling time2U2 SH

492009Nov2A3Define step signal2M2

502009Nov2A4What do you mean by static error constants?2

512014May2B12.aA unity feedback system is characterized by an open loop transfer function. Determine the gain K so that the system will have damping ratio of 0.5. For this value of K determine settling time, peak overshoot, and time to peak overshoot, for a unit step input.

16

U2 FH

12.b

The open loop transfer function of a servo system with unity feedback is .Evaluate the static error constants of a system. Obtain steady state error of the system subjected to an input given by the polynomial 16U2 SH

522013Nov2B12.aDerive the time response of a typical under damped second order system for a unit step input.16

U2 FH

12.b(i) The open loop transfer function of a unity feedback control system is given by .where k and T are positive constants. By what factor should the amplifier gain be reduced so that the peak overshoot of unit step response of the closed loop system is reduced from 75% to 25%.8U2 SH

(ii)For a closed loop system with and H(s)=5, calculate the generalized error coefficients and find error series.8

532013May2B12.aA positional control system with feedback is shown in fig. Determine the response of the system for unit step input.

16

12.bExplain the effect by adding P, PI, PD and PID controllers in feedback control systems.16

542012Nov2B12.a(i) Explain the working of PID controller with a suitable equation6

(ii) The open loop transfer function of a unity feedback control system is given by . By what factor the amplifier gain A be multiplied so that the damping ratio is increased from 0.2 to 0.610

12.b

For a closed loop system whose .find the dynamic error constants and hence determine the steady state error when the system is subjected to the input 16

552012May2B12.a

The system shown in fig below uses a feedback controller. Determine the tachometer constant kt so as to obtain the damping ratio as 0.5. Calculate corresponding and .

16

12.b(i) Define PID controllers and their effects on system performance.10

(ii) Determine steady state errors of type-0, type-1 and type-2 systems for unit step, unit ramp, and unit parabolic inputs.6

562011Nov2B12.a(i)Define all the time domain specifications8

(ii)Derive the expression for rise time and peak overshoot.8

12.bDiscuss the effect of P, PI,PD, and PID controllers.16

572011May2B12.a(i)Derive the expressions for time response of a under damped second order system.8M2

(ii)A unity feedback control system has an open loop transfer function .Find the rise time, percentage overshoot, peak time, settling time, for a step input of 10 units. Also determine the peak overshoot.8M1

12.b(i)Write short notes on (1) PI controller (2) PID controller. 8M2

(ii)A unity feedback system has . The input to the system is described by . Find the generalized error coefficients and steady state error.8M1

582010Nov2B12.aA feedback system employing output-rate damping is shown in fig.(i) In the absence of derivative feedback (K0=0), determine the damping factor and natural frequency of the system. What is the steady state error resulting from unit ramp input?(ii) Determine the derivative feedback constant K0which will increase the damping factor of the system to 0.6. What is the steady state error resulting from unit ramp input with this setting of the derivative feedback constant.

16

12.b

The open loop transfer function of a servo system with unity feedback is .Obtain the steady state error when subjected to an input given by the polynomial .Also find the three error constants for this system.16

592010May2B12.a(i) Discuss the unit step response of second order system8

(ii) Obtain the unit step response and unit impulse response of the system 8

12.b(i) Write short notes on Dynamic error coefficients8

(ii) For a unity feedback second order system the open loop transfer function is calculate the generalized error coefficients and find error series.8

602009Nov2B12.aUsing generalized error series calculate the steady state error of a unity feedback system having for the following excitation.(i) r(t)=2(ii) r(t)=2t(iii) r(t)=(iv) r(t)=1+2t+16

12.b

Fig shows a unity feedback system calculate and when K=0. Also determine K when =0.616

UNIT III

612014May3A5Define the terms Resonant frequency and resonant peak.2U3 FH

622014May3A6What is constant M circle?2U3 SH

632013Nov3A5Define phase cross over frequency.2U3 SH

642013Nov3A6What is the meaning of 6dB/octave slope in a semi log sheet?2

652013May3A5Draw the polar plot for2U3 SH

662013May3A6State phase and gain margin.2U3 FH

672012Nov3A5How will you determine the closed loop stability from the open loop system?2

682012Nov3A6Define resonance frequency.2M1

692012May3A5Draw the polar plot for the following system

2

702012May3A6Write the correlation of time domain specifications and frequency domain specifications.2

712011Nov3A5Define gain margin and phase margin.2M2

722011Nov3A6What are M and N circles?2M1

732011May3A5What are the advantages of frequency response analysis?2U3 SH

742011May3A6Define gain cross over frequency.2

752010Nov3A5Mention any four frequency response specifications.2M2

762010Nov3A6How will you get closed loop frequency response from open loop response?2

772010May3A5What is cutoff frequency?2U3 FH

782010May3A6Define phase margin.2U3 FH

792009Nov3A5Define gain margin.2

802009Nov3A6What are the advantages of Bode plot?2

812014May3B13.aSketch the Bode plot Showing the magnitude in db and phase angle in degrees as a function of log frequency for the transfer function and determine gain cross over frequency.16U3 FH

13.b(i)Discuss the correlation between time and frequency response of second order sysetm8

(ii)How the closed loop frequency response is determined from the open loop frequency response using Nichols chart? Explain how the gain adjustments is carried out on Nichols chart.8

822013Nov3B13.a(i)Obtain the relations for resonance peak magnitude (Mr) and resonant frequency (wr) in terms of damping factor ()8

(ii)Determine the closed loop bandwidth, closed loop peak magnitude, gain margin and phase margin for the following system8

13.bThe open loop transfer function of a unity feedback system is given by . Draw the Bode plot and hence find the gain margin and phase margin.16M1

832013May3B13.aSketch the Bode plot for the following transfer function and determine the value of K for the gain cross over frequency of 5rad/sec 16M2

13.bSketch the Polar plot for the following transfer function and determine the gain and phase margin 16U3 SH

842012Nov3B13.aFor the following transfer function, sketch the bode magnitude and phase plot 16

13.bObtain the relationship between any three frequency domain specifications of time domain specifications.16

852012May3B13.aSketch the bode magnitude plot for the transfer function . Hence find K such that gain cross over frequency is 5rad/sec.16

13.bSketch the Bode plot for the following transfer function and determine the value of K for the gain cross over frequency of 5rad/sec 16

862011Nov3B13.aSketch the Bode plot for the following transfer function and determine gain margin and phase margin of the system 16

13.bSketch the polar plot for the following transfer function 16

872011May3B13.aSketch the Bode plot for the following transfer function and obtain gain and phase cross over frequencies 16U3 FH

13.bThe open loop transfer function of a unity feedback system is given by .Sketch the polar plot and determine the gain margin and phase margin.16

882010Nov3B13.aObtain gain margin and phase margin for the following open loop transfer function using Bode plot 16

13.bBy use of the Nyquist criterion determine whether the closed loop systems having the following open loop transfer function is stable or not. If not how many closed loop poles lie in the right half s-plane?16

892010May3B13.a(i) Explain the frequency domain specifications of a typical system.6

(ii) Draw the Bode plot of the open loop transfer function 10

13.b(i) What is the effect on polar plot if a pole at origin is added to the transfer function? Explain. Draw the polar plot of a first order system. 5

(ii) For the following system, sketch the polar plot 11

902009Nov3B13.aSketch the Bode plot for the transfer function .Find K for a gain cross over frequency of 5rad/sec.16

13.bFor a system with draw the polar plot.16U3 SH

UNIT IV

912014May4A7How are the locations of roots of characteristic equation related to stability?2U4 FH

922014May4A8State Nyquist stability criterion2U4 FH

932013Nov4A7What is the condition for the system to have a circle in its root locus?2

942013Nov4A8State Nyquist stability criterion2

952013May4A7State the necessary and sufficient condition for stability.2U4 SH

962013May4A8State Nyquist stability criterion.2

972012Nov4A7Write the expressions for gain margin and phase margin.2U4 FH

982012Nov4A8How is pole locations and stability related?2M2

992012May4A7Define phase margin.2M2

1002012May4A8Examine the stability of the system whose characteristic equation is using Routh Hurwitz criterion.2U4 SH

1012011Nov4A7What is BIBO stability criterion?2U4 FH

1022011Nov4A8What is centroid?2M1

1032011May4A7What is the effect of adding zeros?2U4 SH

1042011May4A8State Nyquist stability criterion.2M1

1052010Nov4A7Write down the statement of Nyquist stability criterion.2

1062010Nov4A8How is the value of gain K determined from root locus plot?2U4 SH

1072010May4A7State Nyquist stability criterion.2

1082010May4A8What is the correlation between phase margin and damping factor?2

1092009Nov4A7What are the conditions to be satisfied for a linear time invariant system to be stable?2

1102009Nov4A8Define root loci(RL) and root contours(RC).2

1112014May4B14.aThe open loop transfer function of a unity feedback system is given by By applying Routh criterion discuss the stability of closed loop system as a function of K .Determine the values of K which will cause sustained oscillations in the closed loop system. What are the corresponding oscillating frequencies?16U4 FH

14.bSketch the root locus of the system Whose open loop transfer function is .Find the value of K so that the damping ration is 0.516U4 FH

1122013Nov4B14.aThe open loop transfer function of a unity feedback system is given by.Draw the Nyquist plot and hence find out whether the system is stable or not.16

14.bSketch the root locus for a unity feedback system with open loop transfer function 16

1132013May4B14.aConstruct Routh array and determine stability of the system represented by the characteristic equation and comment on the location of roots(i)

(ii)

16U4 SH

14.bSketch the root locus of the system Whose open loop transfer function is .Find the value of K so that the damping ration is 0.516

1142012Nov4B14.aThe open loop transfer function of a unity negative feedback system is given by Using the Nyquist criterion or otherwise find the value of K for which the closed loop system is just stable.16

14.b

A certain unity negative feedback control system has the following open loop transfer function .Find the breakaway points and draw root locus for .16

1152012May4B14.aDraw the root locus of the unity feedback system whose open loop transfer function is 16

14.bBy use of Nyquist criterion, determine whether the closed loop system having the following open loop transfer function is stable or not. If not, how many closed loop poles lie in the right half s-plane?

16

1162011Nov4B14.a(i)Construct Routh array and determine the stability of the system whose characteristic equation is .Also determine the number of roots lying on right half of s plane, left half of s plane and on imaginary axis.12U4 SH

(ii)Discuss the difficulties encountered in Routh stability test.4U4 SH

14.bPlot the root locus for a unity feedback closed loop system whose open loop transfer function is 16M1

1172011May4B14.a(i)The characteristic equation of the feedback control system is given by (1) Determine the range of K for the system to be stable.(2) Determine the value of K which will cause sustained oscillations in the closed loop system. What are the corresponding oscillating frequencies?10

(ii)Using Routh criterion determine the stability of the system represented by the characteristic equations .Comment on the location of the roots of characteristic equation.6

14.bSketch the root locus of the system whose open loop transfer function is .Determine the value of K for damping ratio equal to 0.516

1182010Nov4B14.aConsider the open loop transfer function of a unity feedback control system .Using Routh criterion find the range of K that correspond to a stable system. Note that K is a positive real constant. 16

14.bA unity feedback control system has an open loop transfer function . Sketch the root locus plot of the system.16M2

1192010May4B14.aFor each of the characteristic equation of feedback control system given, determine the range of K for stability. Determine the value of K so that the system is marginally stable and the frequency of sustained oscillations.

16

14.b(i) Write short notes on root locus construction6

(ii) Sketch the Nyquist plot for the open loop transfer function 10

1202009Nov4B14.aWrite the characteristic equation and construct Routh array for the control system shown in fig. It is stable for (i) Kc=9.5 (ii) Kc=11 (iii) Kc=12

16

14.bFor sketch the Nyquist plot and determine the stability of the system.16

UNIT V

1212014May5A9What is the necessity of compensation in feedback control system?2U5 FH

1222014May5A10Write the transfer function of lag lead compensator.2U5 SH

1232013Nov5A9What are the primary advantages of the frequency domain design control system?2

1242013Nov5A10Draw the bode plot of a typical lag compensator.2U5 FH

1252013May5A9Define compensator and list the types of compensators.2U5 FH

1262013May5A10Write the transfer function of lag compensator and draw its pole zero plot.2

1272012Nov5A9Draw the frequency response of lead compensator.2

1282012Nov5A10Why is lag compensator not suitable for higher type systems?2U5 SH

1292012May5A9What is the effect of lead compensator on system response?2U5 FH

1302012May5A10Draw the pole zero location of a lead compensator.2

1312011Nov5A9What is the need for compensator?2M2

1322011Nov5A10Sketch the electrical circuit of a lag lead compensator.2

1332011May5A9What is the need for compensation in feedback control system?2

1342011May5A10What is the transfer function of lead compensator and draw its pole-zero plot?2

1352010Nov5A9What is the need of compensator?2U5 SH

1362010Nov5A10Draw the circuit of lag compensator and write its transfer function.2

1372010May5A9

What is the relation between and ?2M1

1382010May5A10What type of compensator suitable for high frequency noisy environment?2M1

1392009Nov5A9What are the different types of compensating network?2M2

1402009Nov5A10What is the function of a controller?2U5 SH

1412014May5B15.aExplain the electric network realization of a lead compensator and also its frequency response characteristics.16

15.bDescribe the procedure for designing a lag compensator using Bode plot.16

1422013Nov5B15.aThe open loop transfer function of the uncompensated system is . Design a suitable compensator for the system so that the static velocity error constant Kv is 20/sec, the phase margin is atleast 550 and the gain margin is atleast 12dB.16U5 FH

15.bThe open loop transfer function of the uncompensated system is . Compensate the system by cascading suitable lag lead compensator so that the compensated system has the static velocity error constant of 10/sec, phase margin of 450 and gain margin of 10dB or more. 16M1

1432013May5B15.a

Design a lead compensator for a unity feedback system with open loop transfer function to satisfy the following specifications Kv 50

Phase margin20016U5 SH

15.b(i) Describe the procedure for designing a lag compensator (ii) Describe the procedure for designing a lag-lead compensator16

1442012Nov5B15.aThe forward path transfer function is .It is desired to have the peak overshoot limited to 9.5% and the natural frequency of oscillation to 12rad/sec. Design a suitable lead compensator.16

15.bThe forward path transfer function of a certain unity feedback system is given by .The system is to satisfy the following design specifications:(i) % overshoot 16% for unit step input(ii) Steady state error for unit ramp input (2/15) radians. Design a suitable lag network using root locus technique.16

1452012May5B15.aExplain the concept frequency of lead compensator and write steps to design a lead compensator16U5 FH

15.bDesign a lag compensator for the system to have velocity error coefficient 10 and phase margin at least 450.16

1462011Nov5B15.aExplain the design procedure of a lead compensator with a suitable example.16

15.b

The open loop transfer function of a system is given as Design a suitable lag compensator to satisfy the following specifications phase margin = 430; Band width=1.02rad/sec; Velocity error constant Kv5sec-1.

16U5 SH

1472011May5B15.aDesign a lead compensator with an open loop transfer function to satisfy the following specifications:

Velocity error constant Kv 50

Phase margin20016

15.bWrite the design procedure for lag lead compensator using Bode plot. Derive the transfer function of a lag lead compensator based on electrical network.16

1482010Nov5B15.aA unity feedback system has an open loop transfer function of .Design a suitable compensator such that a phase margin of 450 is achieved without sacrificing system velocity error constant.16

15.bConsider the system as shown in fig. Design a lead compensator for the system to meet the following specifications:

Damping ratio =0.7 ; Settling time ts=1.4sec ; Velocity error constant Kv=2sec-1.

16M2

1492010May5B15.a(i) List out the characteristics of lag compensator4

(ii)The open loop transfer function of the uncompensated system is .Design a suitable lag compensator for the system so that the static velocity error constant Kv is 20sec-1, the phase margin is atleast 550and the gain margin is atleast 12db12

15.b(i) Draw the Bode plot of a typical lag lead compensator4

(ii)Design a lead compensator for a type-2 system with an open loop transfer function .Assume that the system is required to be compensated to meet the following specifications:(1) Acceleration error constant Ka=10(2) Phase margin=35012

1502009Nov5B15.aA open loop transfer function of a unity feedback system is .It is desired to have the velocity error constant Kv=12sec-1 and phase margin as 400. Design a lead compensator to meet the above specifications.16

15.b

For design a lag compensator given phase margin 350 and Kv20.16