Chemical Engineering > GATE 2011 > Control Systems
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 transfer function of the controller is
A
5(12s2+4s+1)/(3s)
B
5(12s2+3s+1)/(3s)
C
5(12s2+4s+1)/(4s)
D
5(12s2+3s+1)/(4s)

Correct : c

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PID controller chemical engineering gate GATE 2011 process control transfer function controller error dynamics chemical engineering control systems GATE chemical engineering system dynamics

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