engineering recuitment BHEL Engineer Trainee Mock Test 2025 Control Systems State Space Analysis State Space Representation
A second order system is given by
\(x = \left[ {\begin{array}{*{20}{c}} 1&1\\ { - 3}&{ - 2} \end{array}} \right]\left[ {\begin{array}{*{20}{c}} {{x_1}}\\ {{x_2}} \end{array}} \right] + \left[ {\begin{array}{*{20}{c}} 1\\ 0 \end{array}} \right]u\)
\(y = \left[ {\begin{array}{*{20}{c}} 1&0 \end{array}} \right]\left[ {\begin{array}{*{20}{c}} {{x_1}}\\ {{x_2}} \end{array}} \right]\)
1
The system is state controllable and output controllable
2
The system is state controllable but not output controllable
3
The system is output controllable but not state controllable
4
The system is neither state controllable nor output controllable