Q1:

List-I shows name of the controllers and List-II shows properties of the controllers respectively. The correct option which exactly relates number of list-I and list-II is

	List-I		List-II
A.	Proportional controller	1.	Eliminates the steady state error but makes transient response worse
B.	Integral controller	2.	Increase stability improves the transient response.
C.	Derivative controller	3.	Reduce rise time but does not eliminate steady state error.
D.	Proportional plus derivative controller	4.	Affects steady state error only if it varies with time.

 

Q2:

$G(s)=\frac{(0.5s+1)}{(0.05s+1)}$maximum phase lead of the compensator is

Q3:

Example of continuous controller mode is

Q4:

A compensator has following state model equations

$\left[\begin{array}{c}{x}_1\\ x_2\end{array}\right]=\left[\begin{array}{cc}0& 1\\ -6& -5\end{array}\right]\left[\begin{array}{c}{x}_1\\ x_2\end{array}\right]+\left[\begin{array}{c}0\\ 1\end{array}\right]U$and $y=\left[\begin{array}{cc}-2& 0\end{array}\right]\left[\begin{array}{c}{x}_1\\ x_2\end{array}\right]+\left[1\right]U$

Determine the transfer function of compensator

Q5:

A lead-lag N/w consists of

Q6:

Lead-lag and lag-lead compensators respectively are:

Q7:

Ideal Controller can be implemented using_____

Q8:

Which non-ideal controller can be implemented using Active elements, Passive elements or Combination of Both?

Q9:

The state matrix is A $=\left[\begin{array}{cc}1& 0\\ 0& 1\end{array}\right]$. The state transition matrix e^AT will be given by

Q10:

If $\varphi$(2) is state transition matrix the value of $\varphi$(0) = ………… .

Q11:

State transition matrix $\varphi$(t) is …………… .

Q12:

The state variable description of a linear system is X = AX where ‘x’ is a state vector and A $=\left[\begin{array}{cc}0& 2\\ 2& 0\end{array}\right]$. The poles of the system is located at

Q13:

The state equation of an LTI system is given by $x=\left[\begin{array}{cc}0& 1\\ -2& -3\end{array}\right]x+\left[\begin{array}{cc}0& 1\\ 0& 1\end{array}\right]u$. The eigen values are

Q14:

The state space description of a system is given as

$\left[\begin{array}{c}{x}_1\\ x_2\end{array}\right]=\left[\begin{array}{cc}-2& 0\\ 0& -u\end{array}\right]x+\left[\begin{array}{c}0\\ 1\end{array}\right]u$

$y=[\begin{array}{cc}1& 0]\left[\begin{array}{c}{x}_1\\ x_2\end{array}\right]\end{array}$. The above system is