QUESTIONS AND CORRECT DETAILED ANSWERS
(VERIFIED ANSWERS) ALREADY GRADED A+
second order process respond Ans✓✓✓- response will depend mainly
on the damping coefficient, E.
E < 1 Ans✓✓✓the system is underdamped and has an oscillatory
response (the smaller the value of E, the greater the overshoot)
when E = 1 Ans✓✓✓the system is critically damped and has no
oscillation. A critically damped system provides the fastest approach to
the final value & has no overshoot.
when E > 1 Ans✓✓✓the system is overdamped and never overshoots
the final value. The approach of the system is much slower
E (damping coefficient) is ____ proportional to C (system friction),
_____ proportional to M (capacitance or internia) and K (constant)
Ans✓✓✓- directly
- inversely
E = C / (2 sqrt(MK))
control practitioners often use _____ to find the compromise between
____ and ____ Ans✓✓✓- decay ratio
- performance (speed)
, - stability (robustness)
Overshoot Ans✓✓✓the amount the response exceeds the steady-state
final value.
decay ratio Ans✓✓✓ratio of the amplitude of the oscillation of interest
to the amplitude of the oscillation before it.
The quarter decay ratio (QDR) Ans✓✓✓- lies between critical damping
and underdamping
- equal to 1/4 of the decay ration
The decay ratio can establish if the controller is providing ____ response
Ans✓✓✓satisfactory
The QDR provides good trade off between ______ after a disturbance
and the _______ Ans✓✓✓- minimum deviation from the set point
- fastest return to the set point
Rise Time Ans✓✓✓time required by the transient response to initially
reach the final steady-state value.
Response Time Ans✓✓✓time required by the response to settle within
the specified arbitrary limits (+_ 3-5% of the PV steady-state value)