Solve any one question from Q.1(a,b) &Q.2(a,b)

1(a)
Obtain the transfer function of system represented by the signal flow graph shown in figure no. 1.

!mage

!mage

6 M

1(b)
For the system with closed loop transfer function \(G(s)=\frac{25}{s^{2}+8s+25} \)/ determine damping factor, undamped natural frequency, rise time, peak time, peak overshoot and settling time with 2% tolerance band.

6 M

2(a)
Obtain the transfer function of system represented by the block diagram shown in Figure No. 2.

!mage

!mage

6 M

2(b)
For the unity beedback system with open loop transfer function \[G(s)=\frac{100\left ( s+2 \right )}{s\left ( s+5 \right )\left ( s+10 \right )}\] determine static error constants and steady state error if input is r(t) = 1 + t.

6 M

Solve any one question from Q.3(a,b) &Q.4(a,b)

3(a)
Investigate the stability of a system having closed loop characteristics equation: \[Q(s)=s^{3}+7s^{2}+10s+k=0 \ \text{and}\ \ \text{find} \ K_{mar}\ \text{and} \ W_{mar^{.}}\]

4 M

3(b)
For the unity feedback system with open loop transfer function \( G(s)= \frac{20}{s\left ( s+1\right )\left ( s+10 \right ),} \)/

sketch Nyquist plot and investigate stability.

sketch Nyquist plot and investigate stability.

8 M

4(a)
Determine damping factor, undamped natrural frequency, resonant peak and resonant frequency for the system with closed loop transfer function:\[G(s)= \frac{100}{s^{2}+10s+100}\]

4 M

4(b)
Sketch root locus of a system wih open loop transfer function \[G(s)H(s)= \frac{K}{s\left ( s+4\right )\left ( s+6 \right ).}\]

8 M

Solve any one question from Q.5(a,b) &Q.6(a,b)

5(a)
Obtain controllable canonical and obserable canonical state models for the system with transfer function:\[G(s)= \frac{s^{2}+3s+5}{s^{3}+5s^{2}+9}\]

6 M

5(b)
Investigate for complete state controllability and state observability of system with state space model matrices:

!mage

!mage

7 M

6(a)
Derive formula of state transition matrix and state any four properties.

7 M

6(b)
Obtain physical variable state model of the system shown in Figure No.3.

!mage

!mage

6 M

Solve any one question from Q.7(a,b) &Q.8(a,b)

7(a)
Determine pulse transfer function of a system shown in Figure No.4, using first principle (starred Laplace transform)

!mage

!mage

7 M

7(b)
Sketch step and ramp reponses of P, PI & PID control actions.

6 M

8(a)
Determine pulse transfer function shown in Figure No.5.

!mage

!mage

7 M

8(b)
Obtain ladder diagram for a 3-input two output system with boolean expressions: \[\begin{align*} Y_{1}=A\bar{B}C+A\ B\ \bar{C}\\
Y_{2}=\bar{A}\ \bar{B}\ \bar{C}+ A\ B.\end{align*}\]

6 M

More question papers from Control Systems