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Controller Modes
GATE 2018
Hard
Match the process type in Column A with its property in Column B. Column A: P-Pure dead-time, Q-Pure capacitive, R-Inverse response, S-First-order process with unit gain. Column B: I-φ=−90°, II-K1/s−K2/(τs+1) with K2>τK1, III-0<AR<1, IV-AR=1. The correct combination is
- AP-II, Q-III, R-IV, S-I
- BP-III, Q-II, R-IV, S-I
- CP-I, Q-IV, R-II, S-III
- P-IV, Q-I, R-II, S-III
Explanation
Pure dead-time always has AR=1 (IV). Pure capacitive (integrator) has constant phase −90° (I). Inverse response arises from a competing integrator/lag with opposing sign (II). A stable first-order process has 0<AR<1 at all nonzero frequencies (III).
Source: GATE CH 2018 (2018)
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