B.TECH - Semester 8 advanced control theory Question Paper 2019 (nov)
Practice authentic previous year university questions for better exam preparation.
Sample Questions
- List any four advantages of state space approach.
- Write short note on evaluation of State Feedback gain matrix.
- Define and explain state controllability.
- Given $\dot{x}=\left[\begin{array}{ll}0 & 1 \\ 0 & 0\end{array}\right] x+\left[\begin{array}{l}0 \\ 1\end{array}\right] u ; y=\left[\begin{array}{ll}1 & 0\end{array}\right] x$. Derive the transfer function.
- Solve the Difference equation by use of z -transform method. Assume initial conditions to be zero $x(k)-3 x(k-1)+2 x(k-2)=4^{k}$.
- State Shanon's sampling theorem.
- Obtain the pulse transfer function of the system described by the difference equation $c(k)-0.5 c(k-1)=r(k)$.
- Explain the different types of nonlinearity.
- With the help of diagram explain jump resonance.
- Explain the concept of stability in the sense of liapunov. Answer any one full questions from each Module.
- Obtain state space model of the system with transfer function $\frac{y(s)}{U(s)}=\frac{s+3}{s^{2}+3 s+2}$ in the diagonal form and phase variable form.
- Evaluate the controllability and observability of the system $$ \left[\begin{array}{l} X_{1} \\ X_{2} \end{array}\right]=\left[\begin{array}{cc} 1 & 1 \\ -2 & -1 \end{array}\right]\left[\begin{array}{l} X_{1} \\ X_{2} \end{array}\right]+\left[\begin...
- Obtain an expression for the pulse transfer function of the system given below if $G(s)=1 /(s+1)$ and $H(s)=1 /(s+2)$. OR
- (a) What is the difference between Zero Order Hold and First order hold? $\mathbf{1 0}$
- (b) Consider the unity feed back system with forward path pulse transfer function given below. Investigate the stability using Jury's test 10 $$ G(z)=\frac{z^{3}+2 z^{2}+3 z+5}{2 z^{4}+7 z^{3}+10 z^{2}+4 z+1} $$
- Investigate the stability of the system using describing function method. If $K=3$, determine amplitude and frequency of limit cycle and identify the nature of stability of limit cycle.
- (a) With the help of figures explains various types of singular points.
- (b) Write notes on phase plane method.