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22-Mec-A3 System Analysis and Control: May 2017

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

  1. Question 1 DC Gain and Final Value of an Unstable Second-Order System
  2. Question 2 Routh’s Criterion Applied to Two Unity-Feedback Loops
  3. Question 3 Compensator Constraints for Type 1 Behaviour and Robust Stability
  4. Question 4 Motor Position Control — Velocity Constant, Damping Ratio and Ramp Error
  5. Question 5 Root Locus of a Third-Order Loop — Segments, Asymptotes and the Imaginary-Axis Crossing
  6. Question 6 Bode Magnitude and Phase Asymptotes for Two Open-Loop Transfer Functions

Start with Question 1 →

Paper format. 16-Mec-A3 System Analysis and Control, National Exams May 2017 — 3 hours, closed book (Casio or Sharp approved calculator; semi-logarithmic graph paper is the only permitted aid). The rubric states that any four (4) questions constitute a complete paper, that only the first four as they appear in the answer book are marked, and that all questions are of equal value — so each question carries 25 of the 100 marked. All six questions are solved in full.

Reference texts. K. Ogata, Modern Control Engineering, 5th ed. (Pearson) — Ch. 3–7; N. S. Nise, Control Systems Engineering, 8th ed. (Wiley) — Ch. 4, 6, 8, 10; R. C. Dorf and R. H. Bishop, Modern Control Systems, 13th ed. (Pearson) — Ch. 5–8; G. F. Franklin, J. D. Powell and A. Emami-Naeini, Feedback Control of Dynamic Systems, 8th ed. (Pearson) — Ch. 3–6. A table of Laplace transform pairs is appended to the examination paper (page 5 of the original).