unit 5RMK COLLEGE OF ENGINEERING AND TECHNOLOGYNo. of times asked in University ExamsNo. of times asked in University ExamsNo. of times asked in University ExamsRSM NAGAR, PUDUVOYAL-601 206SEM: IVDEPT: ECESUBJECT CODE: EC 6405SUBJECT NAME: CONTROL SYSTEMS2 MARKS8 MARKS16 MARKSWhat is sampled data control system?2Explain state space representation for discrete time system.Discuss the advantage of state space techniques over the transfer function techniques of analyzing the control system .State (Shanons) sampling theorem.1Explain the importance of controllability and observability of the control system model in the design of the control system.Explain the solution for state equation for discrete time system.What is periodic sampling?Write the following differential equation in state equation format.1Explain sampling theorem and Sample & Hold operation briefly.1What are hold circuits?2What are the problems encountered in a practical hold circuits?The transfer function of a control system is given by Check for controllability1Explain the procedure of deriving the state space representation of a system whosedynamics has been expressed in the form of a differential equation.What are the methods available for the stability analysis of sampled data control system.Explain state space representation for continuous time system.Explain the solution for state equation for discrete time system.What are state variables?21What is the state space?2What are phase variables?1What is a state vector?1Given 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 x1.1-10Define Acquisition time.11Explain the procedure of deriving the state space representation of a system whose dynamics has been expressed in the form of a differential equation.Explain the procedure of deriving the state space representation of a system whose dynamics has been expressed in the form of a differential equation.) Test the controllability & observability of the system whose state space representation is given as X1 = 2 x1+ x2 +u1, X2 = -x1+ 2x2 +u2 , Y1 = x1 , Y2 = x2 .1111

unit2RMK COLLEGE OF ENGINEERING AND TECHNOLOGYNo. of times asked in University ExamsNo. of times asked in University ExamsNo. of times asked in University ExamsRSM NAGAR, PUDUVOYAL-601 206SEM: IVDEPT: ECESUBJECT CODE: EC 6405SUBJECT NAME: CONTROL SYSTEMS2 MARKS8 MARKS16 MARKSWhat is Proportional controller and what are its advantages?Derive the expressions and draw the response of first order system for unit step input.What is the drawback in P-controller?Derive an expression to nd steady state error of a closed loop control system.1Draw the response of second order system for critically damped case and when input is unit step.1What is integral control action?Derive the expressions for Rise time, Peak time, and Peak overshoot.What is the advantage and disadvantage in integral controller?A unity feedback system G(s)=10/s(s+1)(s+2).Find the steady state error when it is subjected to the i/p r(t)=1+2t+1.5t21A potential control system with velocity feedback is shown in fig. What is the response of the system for unit step input?What is PI controller?111What is PD controller?1What is PID controller?What is time response?What is transient and steady state response?3What is the importance of test signals?Name the test signals used in control system.1Define Step signal:Define Ramp signal:Define parabolic signal:What is an impulse signal?What is the order of a system?Measurements conducted on a Servomechanism show the system response to beDefine Damping ratio.c(t)=1+0.2 60t-1.2 10 t. when subjected to a unit step. Obtain an expression forGive the expression for damping ratio of mechanical and electrical system.closed loop transfer function.How the system is classified depending on the value of damping?1A positional control system with velocity feedback is shown in fig. What is the response c(t) to the unit step input. Given that zeta =0.5.and also calculate rise time,peak time, Maximum overshoot and settling time.1What will be the nature of response of a second order system with different types ofA unity feedback control system has an open loop transfer function G(S)=10/S(S+2). Find the rise time, percentage over shoot, peak time and settling Time.damping?1Sketch the response of a second order under damped system.What is damped frequency of oscillation?List the time domain specifications:Define Delay time.Define rise time.1Define Peak time.1Define Peak overshoot.1Define settling time.What is type number of a system? What is its significance?1Distinguish between type and order of a system:1What is steady state error?Define acceleration error constant:What are generalized error coefficients?Give the relation between generalized and static error coefficients:1For a unity feedback control system the open loop transfer function G(S) = 10(S+2)/ S2 (S+1). Find (a) Position, velocity and acceleration error constants.(b)The steady state error when the input is R(S) where R(S) =3/S 2/S2 +1/3S3.1Mention two advantages of generalized error constants over static error constants.1The open loop transfer function of a servo system with unity feedback system is G(S) = 10/ S(0.1S+1).Evaluate the static error constants of the system. Obtain the steady state error of the system when subjected to an input given by the polynomial r(t) = a0+a1t +a2 /2 t2 .1How control is defined depend upon damping ratio?1The closed loop transfer function of a second order system i s given by T(s) = 100 / S2+ 10s + 100. Determine t he damping ratio, natural frequency of oscillations, rise time, settling time and peak overshoot.1Why derivative control is not used in control system?1The overall transfer function G(s)=K/s(sT+1) where K&T are positive constant. (i) By what factor should the amplifier gain K be reduced, so the peak overshoot of unit response of system is reduced from 75% to25% (ii) By what factor K should be multiplied to increase damping ratio from 0.2 to 0.8.(iii) By what factor K should be multiplied to reduce overshoot from 60% to 20%.1What is meant by steady state error? Determine the steady state error for unit ramp input when k=400 in the figure below. Also determine value of k for which the steady state error to a unit ramp will be 0.02.1

unit3RMK COLLEGE OF ENGINEERING AND TECHNOLOGYNo. of times asked in University ExamsNo. of times asked in University ExamsNo. of times asked in University ExamsRSM NAGAR, PUDUVOYAL-601 206SEM: IVDEPT: ECESUBJECT CODE: EC 6405SUBJECT NAME: CONTROL SYSTEMS2 MARKS8 MARKS16 MARKSWhat is frequency response?Write short notes on correlation between the time and frequency response?Plot the Bode diagram for the following transfer function and obtain the gain and Phasecross over frequencies: G(S) = 10/ S(1+0.4S) (1+0.1S)1What are advantages of frequency response analysis?1What is compensation? Why it is needed for control system? Explain the types of Compensation.1The open loop transfer function of a unity feedback system is G(S) = 1/ S (1+S) (1+2S) Sketch the Polar plot and determine the Gain margin and Phase marginWhat are frequency domain specifications?Realize the basic compensators using electrical network and obtain the transfer function.Sketch the Bode plot and hence find Gain cross over frequency, Phase cross over Frequency,Gain margin and Phase margin. G(S) = 10(S+3) / S(S+2) (S2+4S+100).1Define Resonant Peak.1Explain the procedure for lead compensation and lag compensation.1Sketch the Bode plot and hence find Gain cross over frequency, Phase cross over frequency, Gain margin and Phase margin. G(S) = 0.75(1+0.2S)/ S(1+0.5S)(1+0.1S)1What is resonant frequency?1Explain the design procedure for lag-lead compensation.1Construct the polar plot for the function GH(S) =2(S+1)/ S2. Find Gain cross over frequency, Phase cross over frequency, Gain margin and Phase margin.Define Bandwidth.1Consider a type 1 unity feedback system with an OLTF G(S) =K/S (S+1) (S+4).The system is to be compensated to meet the following specifications Kv > 5sec and PM>43 deg. Design suitable lag compensators.Plot the Bode diagram for the following transfer function and obtain the gain and phase cross over frequencies. G(S) =KS2 / (1+0.2S) (1+0.02S). Determine the value of K for a gain cross over frequency of 20 rad/sec.What is cut-off rate?1Sketch the polar plot for the following transfer function and find Gain cross ove frequency, Phase cross over frequency, Gain margin and Phase margin.G(S) = 400/ S (S+2) (S+10).1Define gain margin.1A unity feedback system has open loop transfer function G(S) = 20/ S(S+2) (S+5).Using Nichols chart determine the closed loop frequency Response and estimate all the frequency domain specifications.Define phase margin.1Sketch the Bode plot and hence find Gain cross over frequency, Phase cross over frequency,Gain margin and Phase margin: G(S) = 10(1+0.1S)/ S (1+0.01S) (1+S).1What is phase and Gain cross-over frequency?1Design a suitable lead compensators for a system with unity feedback and having open loop transfer function G(S)= K/ S(S+1) (S+4) to meet the specifications. (i)Damping ratio=0.5 (ii) Undamped natural frequency n =2 rad/sec.What is Bode plot?1A unity feedback system has an open loop transfer function G(S) = K/ S(S+1) (0.2S+1).Design a suitable phase lag compensators to achieve the following specifications Kv= 8 and Phase margin 40 deg with usual notation.1Define corner frequency.A servomechanism has an open loop transfer function of G(s) = 75(1+0.2s) / s(s2+16s+100).Draw the Bode plot and determine the phase and gain margin2What are the advantages of Bode Plot?Give polar sketch for the transfer function G(s) = K / s(1+0.5s)(1+4s) Find k when (i)GM=20db,(ii)PM=30deg1What is a Nichols plot?What are M and N circles?2What is Nichols chart?What are the advantages of Nichols chart?What is polar plot?What is minimum phase system?What are All-Pass systems?

unit4RMK COLLEGE OF ENGINEERING AND TECHNOLOGYNo. of times asked in University ExamsNo. of times asked in University ExamsNo. of times asked in University ExamsRSM NAGAR, PUDUVOYAL-601 206SEM: IVDEPT: ECESUBJECT CODE: EC 6405SUBJECT NAME: CONTROL SYSTEMS2 MARKS8 MARKS16 MARKSDefine stability.1List the advantages of Rouths array method of examining stability of control systems.1 Determine the range of k for stability of unity feedback system whose open loop transfer function is G(s) = K/s(s+2)(s+1) using routh stability criterion.1What is nyquist contourState the rules for constructing root locus for a feedback control systems.Apply Routh criterion to check the stability of S6+ 9S5+ 20S4+ 12S3+ 8S2 + 16S+16 = 01State Nyquist stability criterion.2What are the procedures for constructing root locus.1For K = 2, determine whether the following unity feedback system is stable.Use Routh criterion. G(S) = K (1+2S) (1+4S) /S2(S2+ 2S + 10)1Define Relative stability1Find the range of K for stability of s4+2s3+ 2s2 + (3+K)s + K = 0 ,for k>0What will be the nature of impulse response when the roots of characteristic equation are lying on imaginary axis?11What is the relationship between Stability and coefficient of characteristic polynomial?What is Routh stability criterion?21Draw the approximate root locus diagram for a closed loop system whose transfer function is given by G(s)H(s) = k/ s(s+5)(s+10). Comment on the stability.What is limitedly stable system?A certain unity negative feedback control system has the following open loop transfer function G(s)H(s) = k/ s(s+2)(S2+2S+5). Find the break away points and draw root locus for 0w.In routh array what conclusion you can make when there is a row of all zeros?A unity feedback control system has an open loop transfer function G(S) = K / S (S2+4S+13).Sketch the root locus.What is a principle of argument?Sketch the root locus of the system whose open loop transfer function is G(S) = K / S (S+2) (S+4). Find the value of K so that the damping ratio of the closed loop system is 0.5.What are the two segments of Nyquist contour?A unity feedback control system has an open loop transfer function G(S) = K (S+9) / S (S2+4S+11). Sketch the root locus.What are root loci?Sketch the root locus of the system whose open loop transfer function is G(S) = K / S (S+4) (S2+4S+20).1What is a dominant pole?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 closed loop system is stable.1What are the main significances of root locus?1Construct Nyquist plot for a feedback control system whose open loop transfer function is given by G(S)H(S) =5/ S(1-S).comment on the stability of open loop and closed loop transfer function.What are break away and break in points?2Sketch the Nyquist plot for a system with the open loop transfer functionG(S)H(S)=K(1+0.5S) (1+S) / (1+10S) (S-1).determine the range of values of K for which the system is stable.1What are asymptotes? How will you find angle of asymptotes?1Sketch the root loci for the system shown in Figure.1What is centroid?What is magnitude criterion?What is angle criterion?A unity feedback is characterized by the open-loop transfer function, G(s) = k/ (s+2)(s+4)(s2+ 6s+25). Using routh-stability criterion, calculate the range of values of k for system to be stable. Determine the value of K, which will cause sustained oscillations in the closed loop system. Also determine the frequency of sustained oscillations.How will you find the root locus on real axis?What is characteristic equation?What is auxiliary polynomial?2What are the requirements for BIBO Stability?What is the necessary condition for stability?1How the roots of characteristic are related to stability?21

UNIT 1 RMK COLLEGE OF ENGINEERING AND TECHNOLOGYNo. of times asked in University ExamsNo. of times asked in University ExamsNo. of times asked in University ExamsRSM NAGAR, PUDUVOYAL-601 206SEM: IVDEPT: ECESUBJECT CODE: EC 6405SUBJECT NAME: CONTROL SYSTEMS2 MARKS8 MARKS16 MARKSWhat is control system?Obtain the closed loop transfer function C(S)/R(S) of the system whose blockWrite the differential equations governing the Mechanical system shown in fig.and determine the transfer function.Define transfer function.3List the two major types of control systems?Define open loop and closed loop systems.3What is a signal flow graph?Write the analogous electrical elements in force voltage analogy for the elements of mechanical translational system.1Determine the transfer function of the given systemWrite the transfer function of given block diagram2Determine the transfer function of given block diagram11Find the transfer function of the given network.1Determine the transfer function of given block diagram1Determine the transfer function of the system shown in fig1What is feedback?Why is negative feedback invariably preferred in a closed loop systems?Consider the mechanical system shown below. Identify the variables and write the differential equation2What are the components of feedback control system?Write the differential equations governing the mechanical rotational system shown in fig. draw the torque voltage and Torque-current electrical analogous circuits.1Write the force voltage analogous equation relating mechanical and electrical systems for simple mass, spring, damper system.1Obtain the transfer function of the system2What are the characteristics of negative feedback?2Define non-touching loop.construct the signal flowgraph using mason's gain formula.1Draw a signal flow graph and find the closed loop transfer function for the block diagram shown in fig.1Distinguish between open loop and closed loop system.Define linear system.What is time invariant system?Find the overall gain of the system whose signal flow graph is shown in fig.1What is transmittance?For the given block diagram find the output C due to R and disturbance D.2What is source and sink?What is block diagram? (Nov-07)What is the basis for framing the rules of block diagram reduction technique?Reduce the given block diagramDraw a signal flow graph and evaluate the closed loop transfer function of a system1What is servomechanism?11Write the force balance equation of ideal mass element.Using force voltage, determine analogous electrical system for the given mechanical systemWrite the force balance equation of ideal dashpot.1(a) Reduce the block diagram using block diagram reduction techniques.1Write the force balance equation of ideal spring.(b) Convert the block diagram to signal flow diagram and use mason's formula to find transfer function.Give the Advantages of signal flow graph?1What are the basic properties of signal flow graph?1What are the basic elements used for modeling mechanical rotational system?State mason's gain formula.3Obtain analogous electrical network using force voltage analogy.1Determine the transfer function of given signal flow graph1Using Mason's gain formula determine the transfer function.1Determine the transfer function of the given block diagram.1Determine the transfer function1For the signal flow graph shown below find the transfer function using mason's gain formula.1Name any two dynamic models used to represent control system.1What are the advantages of closed loop control system1What is meant by the block diagram of the control system? What are the basic components of block diagram?1What are the basic elements of modelling mechanical system.1Consider the mechanical system shown, write the differential equations describing the dynamics of the system and also draw the electrical anlogous of the system1Find the transfer function using mason's gain formula1Give the step by step procedure of determining transfer function using signal flow graph method.1Find the transfer function using signal flow graph method1Write down the differential equation governing mechanical rotational system and derive torque voltage, torque current network.1Write the torque equation of the rotational system and derive the transfer function 1(s)/T(s)1Find the transfer function of the system.1Find the transfer function.1

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