STUPIDSID
1 (a)
Derive transfer function of room heating system with usual notations.
7 M
1 (b)
Draw the analogous electric circuit considering Force-Voltage analogy for the mechanical system shown in figure 1 where xi is the input displacement, x0 is the output displacement, y is the displacement of the spring, D1, D2 are the viscous damping coefficients and K1, K2 are the compliances of the springs. Also obtain the transfer function for this mechanical system.
7 M
2 (a)
Derive unit-step response for first-order control system. Discuss salient features of the response curve and error curve with a neat sketch.
7 M
Solve any one question from Q2(b) & Q2(c)
2 (b)
Determine the overall transfer function for the block diagram shown in figure 2 using block diagram reduction.
7 M
2 (c)
Determine the transfer function by the Mason's Gain formula for the Signal Flow Graph shown in figure 3.
7 M
Solve any two question from Q3(a), Q3(b) & Q3(c), Q3(d)
3 (a)
For the system shown in figure 4, determine the value of gain K and velocity- feedback constant Kh so that the maximum overshoot in the unit-step response is 0.2 and the peak time is 1 sec. With these values of K and Kh, obtain the rise time and settling time for 2% criterion. Assume that J = 1kg- m2 and B = 1 N-m/rad/sec.
7 M
3 (b)
Determine the stability of a system whose overall transfer function is given below:
If the system is found unstable, how many roots it has with positive real part? \[ \dfrac{C(s)}{R(s)}= \dfrac {2s+5}{s^5 + 1.5s^4 + 2s^3 + 4s^2 + 5s+10} \]
If the system is found unstable, how many roots it has with positive real part? \[ \dfrac{C(s)}{R(s)}= \dfrac {2s+5}{s^5 + 1.5s^4 + 2s^3 + 4s^2 + 5s+10} \]
7 M
3 (c)
Derive unit impulse response for a generalized second order system for underdamped, critically damped and overdamped cases with usual notations. Also derive the relation of maximum overshoot (for underdamped case).
7 M
3 (d)
Discuss stepwise procedure of plotting the root-locus for a given open-loop transfer function.
7 M
Solve any two question from Q4(a), Q4(b) & Q4(c), Q4(d)
4 (a)
Explain the schematics to achieve Hydraulic Proportional-Plus-Derivative
Control action with a neat sketch in brief. Draw block diagram and obtain
transfer function for the same.
7 M
4 (b)
Explain Force-Distance type Pneumatic Proportional controller and derive transfer function for it.
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4 (c)
Draw a neat sketch of generalized hydraulic control system. Explain the
elements of hydraulic control system in brief.
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4 (d)
Explain working of schematics to achieve Pneumatic PID controller in brief with a neat sketch. Draw block diagram and obtain transfer function for the
same.
7 M
Solve any two question from Q5(a), Q5(b) & Q5(c), Q5(d)
5 (a)
Explain the concept of state used in modern control theory and briefly
explain the state space representation of Mechanical system.
7 M
5 (b)
Explain the terms Gain Margin and Phase Margin related to Frequency response analysis of Control Systems.
7 M
5 (c)
Discuss the advantages of State Space analysis over Classical Technique
used for control systems analysis. Also explain the state space representation
of second order differential equation.
7 M
5 (d)
Briefly discuss performance specifications of frequency response analysis for
linear controls systems.
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