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20-Bio-A2 Process Dynamics and Control: December 2019

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  1. Question 1 Overshoot and Inverse-Response Conditions for a Lead/Lag Process
  2. Question 2 Transfer Function and Step Response From a State-Space Model
  3. Question 3 Thermocouple Response to a Triangular Bath-Temperature Pulse
  4. Question 4 Internal Model Control of a Dead-Time-Dominant Process
  5. Question 5 Nyquist Stability of a Proportionally-Controlled Open-Loop-Unstable Process
  6. Question 6 Bode Plot and Gain-Margin Design for a Dead-Time-Plus-Lag Process
  7. Question 7 Step and Impulse Response of a Linear Draining Tank
  8. Question 8 Routh Stability and Closed-Loop Step Response of a PI-Controlled First-Order Process

Start with Question 1 →

National Exams / EGBC — December 2019 — 04-Bio-A2 Process Dynamics and Control. Three-hour open-book examination; any non-communicating calculator is permitted. The cover page states that only the first five questions in the answer book are marked, yet all eight problems are printed on the paper — all eight are solved below for completeness, since the full set is a study resource. Content spans zero-location effects on step response (overshoot/inverse response), state-space-to-transfer-function conversion, first-order sensor dynamics under a triangular forcing function, Internal Model Control (IMC) design for a dead-time process, the Nyquist stability criterion for an open-loop-unstable process, Bode/gain-margin design, a linear draining-tank model, and Routh–Hurwitz stability with a PI controller.

Reference texts: D. E. Seborg, T. F. Edgar, D. A. Mellichamp & F. J. Doyle III, Process Dynamics and Control (4th ed., Wiley) — Laplace-domain modelling, transfer functions, Routh stability, Nyquist/Bode frequency response, and Internal Model Control design; G. Stephanopoulos, Chemical Process Control: An Introduction to Theory and Practice (Prentice Hall) — the Nyquist criterion for open-loop-unstable processes and dead-time systems. Standard control conventions (deviation variables; unity valve/sensor gain unless stated) are used throughout.