in Others edited by
4 views
0 votes
0 votes

GATE ECE 2010 | Question-50

Common Data for Questions 50 and 51:
The signal flow graph of a system is shown below.

 

The state variable representation of the system can be

 

  1. $\begin{aligned} \dot{x} &=\left[\begin{array}{ll} 1 & 1 \\ -1 & 0\end{array}\right] x+\left[\begin{array}{l}0 \\ 2\end{array}\right] u \\ y &=\left[\begin{array}{ll}0 & 0.5\end{array}\right] x \end{aligned}$
  2. $\begin{aligned} \dot{x} &=\left[\begin{array}{ll}-1 & 1 \\ -1 & 0\end{array}\right] x+\left[\begin{array}{l}0 \\ 2\end{array}\right] u \\ y &=\left[\begin{array}{ll}0 & 0.5\end{array}\right] x \end{aligned}$
  3. $\begin{aligned} \dot{x} &=\left[\begin{array}{ll}1 & 1 \\ -1 & 0\end{array}\right] x+\left[\begin{array}{l}0 \\ 2\end{array}\right] u \\ y &=\left[\begin{array}{ll}0.5 & 0.5\end{array}\right] x \end{aligned}$
  4. $\begin{aligned} \dot{x} &=\left[\begin{array}{ll}-1 & 1 \\ -1 & 0\end{array}\right] x+\left[\begin{array}{l}0 \\ 2\end{array}\right] u \\ y &=\left[\begin{array}{ll}0.5 & 0.5\end{array}\right] x \end{aligned}$
in Others edited by
by
32.7k points
4 views

Please log in or register to answer this question.

Welcome to GO Electronics, where you can ask questions and receive answers from other members of the community.