B.TECH - Semester 6 control systems Question Paper 2019 (jun)
Practice authentic previous year university questions for better exam preparation.
Sample Questions
- 603 : CONTROL SYSTEMS (T) (2008 Scheme) T T Max. Marks : 100 Answer all questions : Each question carries 4 marks.
- What are the advantages and disadvantages of open loop closed loop systems?
- Using Routh-Hurwitz criterion, check the stability of the system with the following characteristic equation. $$ s^{5}+5 s^{4}+3 s^{3}+s^{2}+2 s+1=0 $$
- The closed loop transfer function of a second order system is given by $\frac{150}{s^{2}+10 s+100}$. Determine the damping ratio and natural frequency of oscillation.
- Using Mason's gain formula calculate $C(s) / R(s)$.
- Explain how stability is checked using Nyquist criterion.
- Explain two principle of lag-lead compensator. P.T.O.
- Define gain margin and phase margin using bode plot diagrams.
- Write two different properties of state transition matrix.
- What is controllability and observability? Explain.
- Find the eigen values of the system with the following matrix. $$ A=\left[\begin{array}{ccc} 0 & 1 & 1 \\ 1 & 1 & 1 \\ -2 & -2 & -2 \end{array}\right] $$ Answer any two questions from each Module.
- Obtain the transfer function of the mechanical system shown in figure.
- For the given block diagram find $C(s) / R(s)$ using block diagram reduction method. 2
- For a standard second order system derive the time response for a unit step input (under damped conditions). Plot the time response and mark the important specifications.
- Construct the Bode plot for the unity feed back control system with following transfer function $G(s)=\frac{50(s+3)}{s(s+7)(s+20)}$. Find its gain margin and phase margin.
- Plot the root locus of the system given by $G(s) H(s)=\frac{K(s+2)}{s(s+5)(s+7)}$. Determine the values of $k$ for which system is stable.
- Check the stability of the system with open loop transfer function $G(s) H(s)=\frac{5(s+2)}{s(s+5)}$ using Nyquist stability criterion.
- For the given system $G(s)=\frac{k}{s(s+12)(s+25)}$ design a lag compensator which gives a phase margin $\geq 40^{\circ}$ and $k_{v}<15$.
- Check the stability of the system using Jury's test (a) $\quad F(z)=z^{3}-0.2 z^{2}-0.8 z-0.3$
- Check the stability of the system using Jury's test (b) $\quad F(z)=z^{2}+0.3 z-0.5$
- Find the pulse transfer function of a zero order hold in carcase with a transfer function of $G(s)=\frac{(s+1)}{s(s+2)}$.