A. ∫0 ∞ |e| dt
B. ∫0 ∞ |e2| dt
C. ∫0 ∞ e2 dt
D. None of these
Related Mcqs:
- In a closed loop system, the process to be controlled is an integrating process with transfer function 1/2s. The controller proposed to be used in an integral controller with transfer function 1/T1s. When a step change in set point is applied to such a closed loop system, the controlled variable will exhibit__________________?
A. Overdamped response
B. Underdamped response
C. Undamped response
D. Unstable response - The transfer function for a PID controller is (where, η i is the integral (reset) time and ηD is the derivative time.) ?
A. Kc(1 + ηis + ηD ). s
B. Kc[1 + (1/ηis) + ηD . s)
C. Kc(1 + ηis + (1/ηD . s)
D. None of these - An ideal PID controller has the transfer function [1 + (1/0.55) + 0.25]. The frequency at which the magnitude ratio of the controller is 1, is________________?
A. 0.5/0.2
B. 0.2/0.5
C. 0.2 × 0.5
D. 1/√(0.2 × 0.5) - Suppose that the gain, time constant and dead time of a process with the following transfer function: Gc(s) = 10 exp( – 0.1s)/(0.5s + 1) are known with a possible error of ± 20% of their values. The largest permissible gain Kc of a proportional controller needs to be calculated below taking the values of process gain, time constant and dead time as________________?
A. 8, 0.6, 0.08
B. 12, 0.6, 0.12
C. 8, 0.6, 0.12
D. 12, 0.4, 0.08 - According to Bode stability criterion, a system is unstable, if the open loop frequency response exhibits an amplitude ratio exceeding unity at frequency for which phase lag is_________________?
A. 0°
B. 45°
C. 90°
D. 180° - “A control system is unstable, if the open loop frequency response exhibits an amplitude ratio exceeding unity at the crossover frequency.” This is _______________ criterion?
A. Bode stability
B. Nyquist
C. Routh stability
D. None of these - A proportional controller with a gain of Kc is used to control a first order process. The offset will increase, if________________?
A. Kc is reduced
B. Kc is increased
C. Integral control action is introduced
D. Derivative control action is introduced - Flapper nozzle is used in a/an ______________ controller?
A. Electronic
B. Hydraulic
C. Pneumatic
D. None of these - Feed forward controller accounts for the ______________ changes?
A. Set point
B. Load
C. Both A. & B.
D. Neither A. nor B. - If response of a control system is to be free of offset and oscillation, the most suitable controller is_________________?
A. Proportional controller
B. Proportional-derivative (PD) controller
C. Proportional-integral (PI) controller
D. Proportional integral-derivative (PID) controller