B.TECH - Semester 6 control systems Question Paper 2020 (sep)
Practice authentic previous year university questions for better exam preparation.
Sample Questions
- Define branch, node, loop, forward path and non overlapping loops of signal flow graph.
- Explain how second order systems are classified according to the values of the damping factor.
- Explain gain margin and phase margin. Discuss how these are used to determine stability of a system.
- What is Zero order hold? Derive its transfer function.
- Using Routh-Hurwitz criterion, check the stability of the system with following characteristic equation : $$ s^{6}+s^{5}+3 s^{4}+2 s^{3}+s^{2}+2 s+1=0 $$
- Explain Jury's test. What are the conditions for checking the stability using Jury's table?
- Explain the principle of operation of a lag compensator.
- Find the transfer function of the following system
- What is steady state error? Derive its equation for a closed loop system with unity feedback.
- Discuss the Nyquist criterion for the assessment of stability of a system. ( $\mathbf{1 0} \boldsymbol{\times} \mathbf{4} \boldsymbol{=} \mathbf{4 0}$ Marks) Answer any two questions from each Module.
- For the given signal flow graph find the transfer function $\frac{Y(s)}{X(s)}$ using Mason's formula.
- Determine the transfer function of the mechanical system shown in figure
- Using Block diagram reduction method find $\frac{C(s)}{R(s)}$ of the following block diagram 10
- Find the range of $k$ values for stability using the root-locus for the system. Sketch the root locus for $0 \leq k \geq \infty G(s)=\frac{k}{s(s+3)\left(s^{2}+5 s+25\right)}$ unity feedback.
- Construct the Bode plot for the unity feedback control system with the gain function $G(s)=\frac{5(s+10)}{s(s+3)(s+6)}$. Find its gain margin and phase margin.
- A system is given by $G(s)=\frac{(1+3 s)}{s^{2}(s+2)(s+3)}$. Sketch the Nyquist plot and determine the stability of the system.
- Check the stability of the system using Jury's test 10 (a) $\quad F(z)=Z^{3}-0.3 z^{2}-0.4 z+0.5$
- Check the stability of the system using Jury's test 10 (b) $\quad F(z)=5 z^{3}-2 z^{2}+z-2$
- Design a lead compensator for $G(s)=\frac{10}{s(s+1)}$ unit feedback system for $k_{v}=20$, phase margin $\geq 50^{\circ}$ and gain margin $\geq 10 \mathrm{db}$. 10
- Find the pulse transfer function for the sampled system shown in the figure $\mathbf{1 0}$ ( $\mathbf{6} \boldsymbol{\times} \mathbf{1 0} \boldsymbol{=} \mathbf{6 0}$ Marks)