NivaarExam PrepOfficial exam papers ↗

22-Elec-A2 Systems and Control: May 2013

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

  1. Question 1 Stability by Root Locus, Bode and Routh–Hurwitz (compulsory)
  2. Question 2 PID design from a dominant-poles model (compulsory)
  3. Question 3 Root locus and series-PID settling-time design
  4. Question 4 Safe operating range under P vs PI control (Routh–Hurwitz)
  5. Question 5 Lag-controller design from frequency response
  6. Question 6 Second-order identification and rate-feedback design
  7. Question 7 State space: transfer function, controllability/observability, pole placement
  8. Question 8 Nyquist stability of the Q1 system

Start with Question 1 →

Paper format. National Exams, 07-Elec-A2 Systems & Control, May 2013, 3 hours, closed book (approved calculator + one handwritten formula sheet, and a printed short table of Laplace transforms). Eight questions of 20 marks each; Questions 1 and 2 are compulsory and the candidate chooses three of the remaining six (100 marks total). Every question is worked in full below, since the whole set is a study resource.

Reference texts: N. S. Nise, Control Systems Engineering (7th ed., Wiley) — root locus (Ch. 8), frequency-response / Bode and Nyquist (Ch. 10), stability and Routh–Hurwitz (Ch. 6), PID and cascade compensation (Ch. 9), steady-state error (Ch. 7), state space and pole placement (Ch. 11–12); K. Ogata, Modern Control Engineering (5th ed., Prentice Hall) — companion treatment of the s-domain, dominant-poles modelling and controllability/observability; G. F. Franklin, J. D. Powell & A. Emami-Naeini, Feedback Control of Dynamic Systems. All block diagrams, root loci, Bode/Nyquist plots and pole–zero maps below are redrawn as inline figures.

Reading the exam figures. Two questions (Q2 and Q6) require reading a second-order model off a printed step-response curve; the values read from those curves are stated explicitly in the Given block so a reader can reproduce every subsequent number.