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23-Chem-A6 Process Dynamics and Control: December 2019

Nivaar worked solution (AI-drafted; not reviewed by a licensed engineer)

  1. Question 1 Two Non-Interacting Tanks in Series with a Pump
  2. Question 2 Internal Model Control of a Process with a RHP Zero and Dead Time
  3. Question 3 Linearising a Radiation Heater
  4. Question 4 First-Order Thermometer — Response to a Ramping Bath
  5. Question 5 PI Controller — Laplace Transform and Output for a Pulse Train
  6. Question 6 Routh Stability of a Quartic Characteristic Equation
  7. Question 7 Inverse Laplace Transforms and Time-Response Stability
  8. Question 8 Closed Loop $1/(s+1)^3$ with Sensor $H$ — Stability Limit, Bode Plot and Margins

Start with Question 1 →

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, linearisation, transfer functions, feedback stability, frequency response and IMC design; G. Stephanopoulos, Chemical Process Control (Prentice Hall) — Routh test, Nyquist criterion and dead-time systems; D. R. Coughanowr & S. E. LeBlanc, Process Systems Analysis and Control (3rd ed., McGraw-Hill) — first-order thermal/level dynamics, step/ramp/pulse response and block-diagram algebra. Standard control conventions (deviation variables; unity valve/sensor gains unless stated) are used throughout. This sitting is an open-book paper of eight problems of which any five constitute a complete exam; all eight are solved here.