MCQOPTIONS
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| 1. |
The state equation and the output equation of a control system are given below:\(\begin{array}{l} {\rm{\dot x}} = \left[ {\begin{array}{*{20}{c}} { - 4}&{ - 1.5}\\ 4&0 \end{array}} \right]{\rm{x}} + \left[ {\begin{array}{*{20}{c}} 2\\ 0 \end{array}} \right]{\rm{u}}\\ {\rm{y}} = \left[ {\begin{array}{*{20}{c}} {1.5}&{0.625} \end{array}} \right]{\rm{x}} \end{array}\)The transfer function representation of the system is |
| A. | \(\frac{{3{\rm{s}} + 5}}{{{{\rm{s}}^2} + 4{\rm{s}} + 6}}\) |
| B. | \(\frac{{3{\rm{s}} + 1.875}}{{{{\rm{s}}^2} + 4{\rm{s}} + 6}}\) |
| C. | \(\frac{{4{\rm{s}} + 1.5}}{{{{\rm{s}}^2} + 4{\rm{s}} + 6}}\) |
| D. | \(\frac{{6{\rm{s}} + 5}}{{{{\rm{s}}^2} + 4{\rm{s}} + 6}}\) |
| Answer» B. \(\frac{{3{\rm{s}} + 1.875}}{{{{\rm{s}}^2} + 4{\rm{s}} + 6}}\) | |