III B.Tech I Semester Supplimentary Examinations,Nov/Dec 2009 CONTROL SYSTEMS Aeronautical Engineering Time: 3 hours Max Marks: 80 Answer any FIVE Questions All Questions carry equal marks ????? 1. (a) Explain the advantages of signal flow graph over block diagram reduction process? Node Branch Forward path gain Loop gain.
2. (a) Define i. Minimum phase tf ii. Non minimum phase tf
[8+8]
or
i. ii. iii. iv.
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(b) Expalin the following terms related to signal flow graph:
(b) Enlist the steps for the construction of Bode plots
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(c) Explain the procedure for determination of transfer function from Bode plots. [4+4+8] 3. (a) State Nyquist Stability Criterion.
(b) Explain the use of Nyquist Stability Criterion in the assessment of relative stability of a system. (c) Enlist the step-by-step procedure for the construction of Nyquist plots.[2+6+8]
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4. Explain the stability of the system from the root locus plot in the following situations with suitable examples? (a) addition of open loop poles
(b) addition of open loop zeros.
[16]
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5. (a) Explain the following terms w.r.t closed loop control systems i. ii. iii. iv. v.
Plant Reference input Error detector Feedback path elements Controller.
(b) What is servomechanism?
[12+4]
6. (a) Establish the relation relation between ξ and Mp for a step response of a second order system? 1
Code No: 35051
R05
Set No - 1 2
(b) A system is given by differential equation ddt2y +4 dy +8y = 8x, where y=output dt x= input. Determine all the time domain specifications and obtain output response for unit step input ? [3+13] 7. The open loop transfer function of unity feedback system is G(s) =
K . S(S+1)
in
It is desired to have the velocity error constant KV = 12 Sec−1 and phase margin as 400 Design lead compensator to meet the above specifications. [16]
or
(b) A system is describedby −1 −4 −1 x1 0 x2 + 1 u x˙ = −1 −6 −2 x3 1 −1 −2 −3 y = 1 1 1 [x] Find the transfer function?.
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8. (a) A control system has a transfer function given by S+3 G (s) = (S+1)(S+2) 2 . Obtain the canonical state variable representation.
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2
[8+8]
Code No: 35051
R05
Set No - 2
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III B.Tech I Semester Supplimentary Examinations,Nov/Dec 2009 CONTROL SYSTEMS Aeronautical Engineering Time: 3 hours Max Marks: 80 Answer any FIVE Questions All Questions carry equal marks ?????
ld .
1. (a) Explain how the type of a system determines the shape of polar plot (b) Write a note on Nyquist criterion for minimum phase & non minimum phase transfer functions. [8+8]
or
2. (a) What are generalized error constants? State the advantages of generalized error coefficients? (b) For a first order system, find out the output of the system when the input applied to the system is unit ramp input? Sketch the r(t) and c(t) and show the steady state error. [8+8] 3. (a) Derive the transfer function of an a.c. servomotor and draw its characteristics. (b) Explain the Synchro error detector with circuit diagram. [8+8]
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4. (a) What is compensation? what are the different types of compensators? (b) What is a lag compensator, obtain the transfer function of lag compensator and draw pole-zero plot? (c) Explain the different steps to be followed for the design of compensator using Bode plot? [3+3+10]
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5. (a) By means of relevant diagrams explain the working principles of a practical closed loop control systems. [8+8] (b) Find the transfer function for the following electrical network Figure 5b.
Figure 5b 3
Code No: 35051
Set No - 2
R05
6. (a) Obtain the state-space representation of the system given by the transfer function. (Conanical form of state space model) Y (S) 1 = T (S) = (S+1)(S+2)(S+3) U (S)
[8+8]
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7. Sketch the Bode plots for a system G(s) = s(s215(s+5) +16s+100) Hence determine the stability of the system.
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(b) A system is characterized by the following state space equation. x˙ 1 (t) −3 1 x1 0 = + u. t > 0. x˙ 2 (t) −2 0 x 1 2 x1 y= 1 0 x2 Compute state transition matrix.
8. Open loop T.F. of a unity feed ?back system is G(s) =
[16]
K(s+a) s(s+b)
or
(a) Prove that break-away and break-in points will exist only when |a| > |b|
(b) Prove that the √ complex points on the root locus form a circle with center (-a,0) [16] and radius a2 − ab.
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nt
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?????
4
Code No: 35051
R05
Set No - 3
in
III B.Tech I Semester Supplimentary Examinations,Nov/Dec 2009 CONTROL SYSTEMS Aeronautical Engineering Time: 3 hours Max Marks: 80 Answer any FIVE Questions All Questions carry equal marks ?????
i. ii. iii. iv.
Steady-state error Settling time Peak overshoot type and order of a control system.
ld .
1. (a) Define the following terms:
(b) Sketch the transient response of a second order system and derive the expression for rise time and peak overshoot? [8+8]
or
2. (a) Explain the classification of control systems?
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(b) Find the transfer function relating displacement ‘y’ and ‘x’ for the following system. Shown in figure 2b. [6+10]
250 s(s+1)(s+10)
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3. A system is given by G(s)H(s) =
Figure 2b
(a) Draw Bode plots
(b) Find GM & PM
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(c) Hence determine the closed loop stability of the system.
[16]
4. (a) Define the following terms i. Stable system ii. Critically stable system iii. Conditionally stable system.
(b) For the system having characteristic equation 2S 4 + 4S 2 + 1 = 0, find the following i. the no. of roots in the left half of s-plane ii. the no. of roots in the right half of s-plane 5
Code No: 35051
R05
Set No - 3
iii. the no. of roots on the imaginary axis.
[6+10]
Use the RH stability criterion 5. (a) What is compensation? What are the different types of compensator? (b) What is lag-lead compensator, obtain the transfer function of lag-lead compensator and draw it’s pole-zero plot?
0.5 (s+1)(s+0.5)
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6. Sketch the polar plot of a system given by G(s) =
in
(c) Explain the different steps to be followed for the design of lag lead compensator using Bode plot? [3+3+10]
A pole at origin is added to this system. Sketch the polar plot of the new system & comment on how the stability of the system is affected as a result of this change. [16]
or
7. (a) The state equation of a linear time system is given by invariant x1 (t) 0 1 x1 0 = + r (t) x2 (t) −1 −2 x2 1 Find the transistion matrix ft and the characteristic equation of the system.
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(b) Obtain the phase variable form of state model for the given system whose differential equation is given below. 2 d3 y + 6 ddt2y + 11 dy + 6y = 6u (t). [10+6] dt3 dt 8. Represent the following set of equation by a signal flow graph and determine the overall gain relating x5 and x1 . [16] = ax1 + f x2 = bx2 + ex4 = cx3 + hx5 = dx4 + gx2
?????
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x2 x3 x4 x5
6
Code No: 35051
R05
Set No - 4
in
III B.Tech I Semester Supplimentary Examinations,Nov/Dec 2009 CONTROL SYSTEMS Aeronautical Engineering Time: 3 hours Max Marks: 80 Answer any FIVE Questions All Questions carry equal marks ????? 1. (a) Explain the linearizing effect of feedback.
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(b) The dynamic behaviour of the system is described by the equation, dC + 10C = 40e, where ‘e’ is the input and ‘C’ is the output. Determine the dt transfer function of the system. [10+6] 2. (a) State and explain mason’s gain formula for the signal flow graph.
(b) What are differences between block diagram reduction and signal flow graph reduction? [8+8]
or
3. (a) How steady state error of a control system is determined? How it can be reduced? (b) Determine the error coefficients and static error for G(s) = H(s) = s + 2.
1 , s(s+1)(s+10)
[8+8]
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4. (a) Explain stability analysis with Nyquist plots.
(b) Can the stability of a non minimum phase system be determined using Nyquist plots? Elaborate. [8+8] 5. For a unity feedback system having forward path transfer function K G(S) = s(1+0.6S)(1+0.4S) . Determine (a) The range of values of K
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(b) Marginal value of K
(c) Frequency of sustained oscillations.
[16]
6. (a) What is compensation? What are the different types of compensators?
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(b) What is a lead compensator, obtain the transfer function of lead compensator and draw pole-zero plot? (c) Explain the different steps to be followed for the design of lead compensator using Bode plot? [3+3+10]
7. (a) Solve the following differential equation by converting it into state variable 2 form ddt2y + dy − 2y = u (t) e−t Where y(0)=0, y˙ (0) = 0; u(t)=unit step input dt (b) The state equation of a linear time invariant system is given by x1 (t) 0 1 x1 (t) 0 = + r (t) x2 (t) −1 −2 x2 (t) 1 Find the state transistion matrix φf(t). 7
8. The following test data were obtained for the forward path elements of a unity feed back control system. Plot the data on a semilog graph sheet and determine the transfer function of the forward path, using asymptotic approximation. What is the type of the system? [16]
Code No: 35051. R05. Set No - 2. 6. (a) Obtain the state-space representation of the system given by the transfer func- · tion. (Conanical form of state space model) · Y (S) · U(S) · = T (S) = · 1 · (S+1)(S+2)(S+3) · (b) A system is characterized by the following state space equation. [ Ëx1 (t) · Ëx2 (t) · ] · = · [ â3 1 · â2 0 · ][ x1.
(b) Fretting corrosion. [8+8] · 4. Explain vapor phase inhibitors. [16] · 5. (a) Discuss various corrosion rate expressions with their merits and demerits. (b) Iron is ...
6. (a) Explain the various functions and tables associated with Ring station and · Source routing group of RMON token ring. (b) Explain the different alarms and ...
where you are studying. Write CSS rule such that there are three different para- · graph styles p1, p2 and p3. p1 style must use left and right margins of 20 pixels, ...
heit (oF),converts in to an absolute temperature in kelvins · T(oK) = 5/9[t(oF)-32.0]+273. [16] · 6. Sketch an inverse Nyquist plot for a system with g(s) =.
(b) How fast can the output of an Op-amp change by 10V, if its slew rate is · 1V/µs? .... (b) Explain the application of 555 timer as Linear ramp generator. [8+8].
How can you find virus concentration both directly and indirectly by particle counts · and measurement of infectious unit concentration. Define plaque forming ...
(b) Explain with a neat block diagram the operation of a continuously variable .... (a) Draw the block diagram of band pass binary data transmission system and.
(b) Describe the effect of lack of fusion in butt, fillet and lap welded joints. ... 8. (a) Describe the process of welding dissimilar metals by fusion welding technique?
[16] · 4. A chemical process is represented by the following set of equations : f1(x3,x4)=0 · ; f2(x5,x2) =0 ; f3(x6) = 0 ; f4(x6,x1) = 0 ; f5(x3,x2) = 0 & f6 (x4,x5,x1) =0.
Explain. [8+8] · 2. Describe the different databases available for storage of protein resources. [16] ... acid sequence as query. The only reported match has an E ...
A steel bolt of 650 sq.mm C.S.A passes centrally through a copper tube of .... 6. A wagon of weight 25 k N, attached to a wire rope, is moving at speed of 4 km.
Explain in detail how transposable elements could be used to clone the genes. [16] · 7. Write in detail about ISSR molecular markers and its applications. [16].
(a) With a neat sketch explain the generation of action potentials. (b) List out different bio electric potentials. (c) Explain how bio electric potentials are measured.
(b) Break-Even Point in Rupees,. (c) Margin of Safety. (d) It is proposed to reduce the selling price by 20%. What extra units should be sold to obtain the same ...
(b) Explain briefly about the threat's to data integrity and confidentiality. [8+8] · 5. Describe different clinical applications of computers in nuclear medicine. [16].
(b) Evaluate. â. â«. 0 dx. (1+x2)2 using residue theorem. [8+8]. 8. (a) Evaluate using Cauchy's Integral Formula â«. C. (z+1) dz. (z3â4z) where C is |z + 2| = 3. 2.
[16] · 4. What are channel,circuit and half circuit in the context of satellite telemetry sys- .... 3. Describe the conditions for total internal reflection within a fibre. [16].
(b) Describe a DC Servo Motor with a neat sketch. [8+8] · 4. (a) What is a timing belt? Discuss the use of Timing belts in power transmission? (b) Discuss various ...
(b) Consider any two networks of your choice which support Circuit switching or ... (b) Which is more efficient, circuit switching or packet switching? Why?
(a) What is the difference between logical I/O and device I/O? (b) Explain feed back scheduling policy. [8+8] · 2. (a) How can logical address space be ...
kerosene, and fuel oil must be limited as also shown in this table. There are no ... equipment is a function of x, the size (horsepower ) of the motor, namely.
