A plant transfer function is given as,${\rm{G}}\left( {\rm{s}} \right) = \left( {{{\rm{K}}_{\rm{p}}} + \frac{{{{\rm{K}}_{\rm{I}}}}}{{\rm{s}}}} \right)\frac{1}{{{\rm{s}}\left( {{\rm{s}} + 2} \right)}}$When the plant operates in a unity feedback configuration the condition for the stability of the closed-loop system is

Question

TuteeHUB · Accepted Answer

$2{{\rm{K}}_{\rm{I}}}{\rm{\;}} > {\rm{\;}}{{\rm{K}}_{\rm{P}}}{\rm{\;}} > {\rm{\;}}0$

TuteeHUB · Answer

${{\rm{K}}_{\rm{P}}} > \frac{{{{\rm{K}}_{\rm{I}}}}}{2} > 0$

TuteeHUB · Answer

$2{{\rm{K}}_{\rm{I}}}{\rm{\;}} < {\rm{\;}}{{\rm{K}}_{\rm{P}}}$

TuteeHUB · Answer

$2{{\rm{K}}_{\rm{I}}}{\rm{\;}} > {\rm{\;}}{{\rm{K}}_{\rm{P}}}$

1.	A plant transfer function is given as,\({\rm{G}}\left( {\rm{s}} \right) = \left( {{{\rm{K}}_{\rm{p}}} + \frac{{{{\rm{K}}_{\rm{I}}}}}{{\rm{s}}}} \right)\frac{1}{{{\rm{s}}\left( {{\rm{s}} + 2} \right)}}\)When the plant operates in a unity feedback configuration the condition for the stability of the closed-loop system is
A.	\({{\rm{K}}_{\rm{P}}} > \frac{{{{\rm{K}}_{\rm{I}}}}}{2} > 0\)
B.	\(2{{\rm{K}}_{\rm{I}}}{\rm{\;}} > {\rm{\;}}{{\rm{K}}_{\rm{P}}}{\rm{\;}} > {\rm{\;}}0\)
C.	\(2{{\rm{K}}_{\rm{I}}}{\rm{\;}} < {\rm{\;}}{{\rm{K}}_{\rm{P}}}\)
D.	\(2{{\rm{K}}_{\rm{I}}}{\rm{\;}} > {\rm{\;}}{{\rm{K}}_{\rm{P}}}\)
Answer» B. \(2{{\rm{K}}_{\rm{I}}}{\rm{\;}} > {\rm{\;}}{{\rm{K}}_{\rm{P}}}{\rm{\;}} > {\rm{\;}}0\)

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