Two systems are defined by their state veritable equation in time domain dx(t)/dt = Ax(t) + Bu(t) as follows. If the gain equation in this are as given below, which of the following choices is correct?
\[\begin{array}{l}
{\rm{A}} = \left[ {\begin{array}{*{20}{c}}
{ - 2}&1\\
0&{ - 1}
\end{array}} \right],\,{\rm{B}} = \left[ \begin{array}{l}
1\\
0
\end{array} \right]{\rm{. }}{\rm{. }}{\rm{. }}{\rm{. Equation 1}}\\
{\rm{A}} = \left[ {\begin{array}{*{20}{c}}
0&1\\
{ - 1}&0
\end{array}} \right],\,{\rm{B}} = \left[ \begin{array}{l}
0\\
1
\end{array} \right]{\rm{. }}{\rm{. }}{\rm{. }}{\rm{. Equation 2}}
\end{array}\]
A. Both Equations are uncontrollable
B. Both Equations are controllable
C. Only Equations 1 is controllable
D. Only Equations 2 is controllable
Answer: Option D
This Question Belongs to Electronics And Communications Engineering >> Control Systems
In root locus analysis the breakaway and break in points
A. lie on the real axis
B. Either lie on the real axis or occur in complex conjugate pairs
C. Always occur in complex conjugate pairs
D. None of the above
Which of the following features is not associated with Nichols chart?
A. (0 dB, -180°) point on Nichols chart represent critical Point (-1, 0)
B. It is symmetric about -180°
C. M loci are centred about (0 dB, -180°) point
D. The frequency at intersection of G (j$$\omega $$) locus and M = +3 dB locus gives bandwidth of closed loop system
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