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17-Phys-B5 Systems and Control: Undated paper

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

  1. Question 1 PID + Hydraulic Process — Closed-Loop TF and Routh–Hurwitz Stability Range
  2. Question 2 Frequency Response and Root Locus — Verifying Question 1
  3. Question 3 Signal-Flow Graph — Mason's Gain Formula
  4. Question 4 Second-Order Dominant-Poles Models — s-Domain, Step, and Frequency Response
  5. Question 5 Lead Controller Design in Frequency Domain
  6. Question 6 Root Locus, Gain Selection and Dominant-Pole Validity
  7. Question 7 Controller Design by Pole Placement — PI + Dynamic Rate Feedback
  8. Question 8 State-Space Model — Pole Placement by State Feedback

Start with Question 1 →

Paper format. 17-Phys-B5 Systems and Control, National Exam, May 2019 — 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 construction, PID/rate-feedback compensator design, controllability/observability, Mason's Gain Formula on signal-flow graphs).