NivaarExam Prep

20-Bio-A2 Process Dynamics and Control

Worked solutions to 4 past sittings (2017–2019), 32 questions. Pick a sitting, or start from a topic below.

Topics across the sittings

Topics that come up in more than one sitting, taken from the headings of our worked solutions. A topic counts once per sitting.

Questions by sitting

December 2019

  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

May 2018

  1. Question 1: Bode Plot and Exact Phase Margin of a Lightly-Damped Second-Order System
  2. Question 2: Closed-Loop Stability With a Non-Minimum-Phase Level Sensor
  3. Question 3: Phase Margin, Gain Margin and Maximum Stable Gain for a Dead-Time Process
  4. Question 4: Step Response and Overshoot Condition for a Process With an Adjustable Zero
  5. Question 5: Linearization of a Radiative Calrod Heating Element
  6. Question 6: Internal Model Control of a Dead-Time-Dominant Process
  7. Question 7: Stability and Step Response of a PI-Controlled First-Order Process
  8. Question 8: Linearization of a Nonlinear (Second-Order-Reaction) CSTR

May 2017

  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

Undated paper

  1. Question 1: Overshoot Condition for a Lead-Zero Second-Order Process
  2. Question 2: Nyquist Stability of a Proportionally-Controlled Open-Loop-Unstable Process
  3. Question 3: Linear vs. Nonlinear-Valve Draining-Tank Dynamics
  4. Question 4: Transfer Function and Step Response from a State-Space Model
  5. Question 5: Routh Stability and Step Response of a PI-Controlled Unstable Process
  6. Question 6: Inverse Laplace Transforms with Time Delay
  7. Question 7: Internal Model Control Design for a Dead-Time-Dominant Process
  8. Question 8: Bode Plot and Gain-Margin Design for a Dead-Time-Plus-Lag Process