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ECE4132 Control System Design - MUM S2 2025

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What is the effect of a zero in the left half-plane on 2nd order system response?

A. The additional zero increases the overshoot

B. The additional zero decreases the peak time

C. The additional zero decreases the rise time

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Match the following step responses of systems to the system type.

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Given a plant P(s) = \frac{1}{s^2+1}P(s) = \frac{1}{s^2+1} and controller C(s) = \frac{s^2+1}{s^2+2s+2}C(s) = \frac{s^2+1}{s^2+2s+2} in a unity feedback loop, what are the stability properties of this system?

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Which of the following transfer functions represent BIBO stable systems?

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There may be a small difference between your predicted heater level in Q4 and the simulated heater level in Q5 needed to regulate the system output at 40 degrees C?

Consider

the following three potential reasons why you may observe such a difference.

i. 

The model (1) used for prediction is an oversimplification, and does not fully

reflect the mildly non-linear relationship between the steady-state input value

and the steady-state output value.

ii. The system response over 600 seconds does not quite reach steady state introducing a systematic error in our estimation of CC, and hence our prediction of HH.

iii. 

Since the system temperature starts at the room temperature, rather than at

zero, the model (1) does not make sense.

Which of the following is correct?

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