Chemical Engineering > GATE 2011 > Control System Stability
A PID controller output p(t), in time domain, is given by p(t)=30+5e(t)+1.25∫0te(t)dt+15(de(t)/dt) where e(t) is the error at time t. The transfer function of the process to be controlled is Gp(s)=10/(200s+1). The measurement of the controlled variable is instantaneous and accurate.
The characteristic equation of the closed loop is
A
6s2+102s+1=0
B
700s2+102s+25=0
C
100s2-196s-25=0
D
240s3+812s2+204s+1=0

Correct : b

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