The transfer function corresponding to a P-D controller is________________?
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Answer: A. Kc(1+ηD s)
Explanation
An ideal proportional-derivative controller combines proportional action with derivative action. The transfer function multiplies the controller gain by the sum of one and the derivative term. This algebraic formulation matches the standard industrial P-D controller equation Kc times parentheses. Proportional-derivative control improves system stability by anticipating future error trends. Derivative action reacts to the rate of change of the error signal, adding damping. Controller transfer functions mathematically describe how input errors translate into valve outputs.
Fast-responding processes like temperature and pressure loops benefit from derivative control action. Adding derivative mode helps reduce peak overshoot following sudden load disturbances. Industrial controllers allow operators to tune derivative time alongside proportional gain. The second option represents a proportional-integral controller transfer function instead. The third option describes pure derivative action without proportional gain contribution. The fourth option features an invalid inverse derivative term that violates control theory.
- Subject
- Engineering
- Category
- Chemical Engineering
- Topic
- —
- Difficulty
- medium
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