EC > GATE 2025 > System Stability
Let G(s)=1/(10s2) be the transfer function of a second-order system. A controller M(s) is connected to the system G(s) in the configuration shown below.
Consider the following statements.
(i) There exists no controller of the form M(s)=KI/s, where KI is a positive real number, such that the closed loop system is stable.
(ii) There exists at least one controller of the form M(s)=KP+sKD, where KP and KD are positive real numbers, such that the closed loop system is stable.
Which one of the following options is correct?
Consider the following statements.
(i) There exists no controller of the form M(s)=KI/s, where KI is a positive real number, such that the closed loop system is stable.
(ii) There exists at least one controller of the form M(s)=KP+sKD, where KP and KD are positive real numbers, such that the closed loop system is stable.
Which one of the following options is correct?
Correct : b
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