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ECE · Q108

Control Systems

Engineering and GATE · ECE · question 108

Q108

The state equation and the output equation of a control system are given below; \[ arrayl x ^ = [ array*20c - 4& - 1.5\\ 4&0 array ]x + [ arrayl 2\\ 0 array ]u\\ y = [ 1.5\,\,\,0.625 ]x array\] The transfer function representation of the system is

The state equation and the output equation of a control system are given below;
\begin{array}{l} \mathop x\limits^ \cdot = \left[ {\begin{array}{*{20}{c}} { - 4}&{ - 1.5}\\ 4&0 \end{array}} \right]x + \left[ \begin{array}{l} 2\\ 0 \end{array} \right]u\\ y = \left[ {1.5\,\,\,0.625} \right]x \end{array}
The transfer function representation of the system is
A.
Answer
B.
C.
D.

Answer: Option A

Solution

Answer: Option A
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