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20-Bio-A2 Process Dynamics and Control: May 2017

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  1. Question 1 Digital (Sampled-Data) Proportional Control of a Heated Tank
  2. Question 2 State-Space Model — Transfer Function and Step Response
  3. Question 3 IMC Design for a Non-Minimum-Phase Dead-Time Process
  4. Question 4 Nyquist Stability of an Open-Loop-Unstable First-Order Process
  5. Question 5 Maximum Stabilising Gain for a Triple-Lag Loop, With and Without Sensor Delay
  6. Question 6 Second-Order ODE — Standard Form, Stability and Damping
  7. Question 7 Second-Order-Reaction CSTR — Nonlinear Model, Steady State and Linearised Transfer Function
  8. Question 8 Bode Diagram and Gain-Margin Design for an FOPDT Loop

Start with Question 1 →

National Exams / EGBC — May 2017 — 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 sampled-data (digital) control, state-space-to-transfer-function modelling, Internal Model Control (IMC) of a non-minimum-phase dead-time process, Nyquist and Routh stability, frequency response (Bode/gain-margin) design and nonlinear-reactor linearisation.

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