engineering recuitment GATE ECE 2023-24 Test Series Control Systems State Space Analysis State Space Representation
The state diagram is given below.
The state space representation for the above state diagram is
ẋ(t) = A x(t) + B u(t)
y(t) = C x(t) + D u(t)
Then, which of the following is / are true?
1
\(A = \left[ {\begin{array}{*{20}{c}} 0&1\\ { - 2}&{ - 3} \end{array}} \right]\)
2
\({B^T} = \left[ {\begin{array}{*{20}{c}} 0\\ 1 \end{array}} \right]\)
3
\({C^T} = \left[ {\begin{array}{*{20}{c}} 1\\ 2 \end{array}} \right]\)
4
\(A = \left[ {\begin{array}{*{20}{c}} 0&1\\ { - 3}&{ - 2} \end{array}} \right]\)