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17-Phys-B5 Systems and Control: May 2016

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

  1. Question 1 Basic Definitions and Concepts of Control
  2. Question 2 Stability via Root Locus, Bode and Routh–Hurwitz
  3. Question 3 State Space, Controllability/Observability, Steady-State Error
  4. Question 4 Root Locus, Gain Selection and Second-Order Model
  5. Question 5 PID Controller Design by Pole Placement
  6. Question 6 Lead/Lag Controller Design by Pole Placement
  7. Question 7 Lead Controller Design in the Frequency Domain
  8. Question 8 Nyquist Criterion and State-Space Step Response

Start with Question 1 →

Paper format. 98-Phys-B5 Systems & Control, National Examination May 2016 — a three-hour closed-book examination with one double-sided handwritten formula/notes sheet permitted and an approved calculator. Questions 1 and 2 are compulsory; candidates choose three of the remaining six (3–8). Every question is nonetheless answered in full below so the paper remains a complete study resource. All eight questions carry equal value (20 marks each).

Reference texts. N. S. Nise, Control Systems Engineering, 7th ed. (transient-response specifications, root locus, Routh–Hurwitz, frequency-response and lead/lag design, state-space representation, steady-state errors); K. Ogata, Modern Control Engineering, 5th ed. (root-locus and frequency-response compensator design, controllability/observability, Nyquist stability).