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ECE · Q92

Control Systems

Engineering and GATE · ECE · question 92

Q92

For the system described by the state equation \[ x ^ = [ array*20c 0&1&0\\ 0&0&1\\ 0.5&1&2 array ]x + [ arrayl 0\\ 0\\ 1 array ]u\] If the control signal u is given by u = [-0.5 -3 -5]x + v, then the eigen values of the closed-loop system will be

For the system described by the state equation \mathop x\limits^ \cdot = \left[ {\begin{array}{*{20}{c}} 0&1&0\\ 0&0&1\\ {0.5}&1&2 \end{array}} \right]x + \left[ \begin{array}{l} 0\\ 0\\ 1 \end{array} \right]u
If the control signal u is given by u = [-0.5 -3 -5]x + v, then the eigen values of the closed-loop system will be
A.
0, -1, -2
Answer
B.
0, -1, -3
C.
-1, -1, -2
D.
0, -1, -1

Answer: Option A

Solution

Answer: Option A
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