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17-Phys-B5 Systems and Control: December 2017

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

  1. Question 1 Root Locus Crossovers, Magnitude Criterion and Routh–Hurwitz Confirmation
  2. Question 2 Lag Controller Design from a Steady-State-Error and Overshoot Specification
  3. Question 3 Lead Controller Design from a Steady-State-Error, Overshoot and Settling-Time Specification
  4. Question 4 Polar Plot and Nyquist Stability with an Unstable Open-Loop Pole
  5. Question 5 State Space Model from a Transfer Function, Pole Placement by State Feedback
  6. Question 6 Second-Order Dominant-Pole Models from Three Different Sources
  7. Question 7 Root Locus Construction, Gain Selection for a Target Damping Ratio, and Gain Margin
  8. Question 8 PID Controller Design by Pole Placement with Pole–Zero Cancellation

Start with Question 1 →

Paper format. 98-Phys-B5 Control, National Examination December 2017 — 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. (root locus, Routh–Hurwitz, frequency-response lag/lead design, Nyquist stability, state-space representation, steady-state errors); K. Ogata, Modern Control Engineering, 5th ed. (frequency-response compensator design, controllability/observability, PID pole placement).