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17-Phys-B5 Systems and Control: May 2018

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

  1. Question 1 Servo-Positioning Signal-Flow Graph — Closed-Loop and Disturbance TFs, Stability Range
  2. Question 2 Error Constants, DC Gain and 2nd-Order Dominant-Pole Model at $K_{op}=3.0$
  3. Question 3 Steady-State Error Design, Gain Margin, and Superposed Ramp Disturbance
  4. Question 4 State-Space Model — Eigenvalues, TF, Controllability/Observability, Pole Placement
  5. Question 5 Lead Controller Design in the Frequency Domain
  6. Question 6 Root Locus of a System with a Right-Half-Plane Pole — Conditional Stability
  7. Question 7 Rate-Feedback vs. PD Control — Same $K_p,T_d$, Very Different Outcomes
  8. Question 8 Three 2nd-Order Dominant-Pole Models — s-Domain, Open-Loop and Closed-Loop Frequency Response

Start with Question 1 →

Paper format. 17-Phys-B5 Systems and Control, National Exams May 2018 — 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 compensator design, state-space representation, steady-state errors); K. Ogata, Modern Control Engineering, 5th ed. (root-locus and PID/rate-feedback compensator design, controllability/observability, Mason's Gain Formula on signal-flow graphs).