NivaarExam PrepOfficial exam papers ↗

22-Mec-A3 System Analysis and Control: December 2018

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 Stability Range for a Tape-Drive Servo
  3. Question 3 Root Locus of $k/[s(s^{2}+6s+12)]$
  4. Question 4 Bode Plots and the Gain Margin at 45° Phase Margin
  5. Question 5 Laplace Solution of Two Differential Equations
  6. Question 6 Step Response from a Pole–Zero Description, and an Inverse Transform
  7. Question 7 Error Constants and Steady-State Errors

Start with Question 1 →

Paper format. National Examination 16-Mec-A3 — System Analysis and Control, December 2018. Three hours; closed book; no aids other than semi-log graph paper and an approved Casio or Sharp calculator. Seven questions are printed and any four constitute a complete paper, all of equal value (25 marks each). Only the first four questions appearing in the answer book are marked. A table of Laplace transforms is supplied with the paper. All seven questions are solved here, so that the set works as a complete study resource rather than one candidate’s four choices.

Reference texts. K. Ogata, Modern Control Engineering, 5th ed. (Pearson) — Chs. 5 (transient response), 6 (root locus), 7 (frequency response); N. S. Nise, Control Systems Engineering, 8th ed. (Wiley) — Chs. 4, 6, 7, 8, 10; G. F. Franklin, J. D. Powell and A. Emami-Naeini, Feedback Control of Dynamic Systems, 8th ed. (Pearson) — Chs. 3, 5, 6; R. C. Dorf and R. H. Bishop, Modern Control Systems, 13th ed. (Pearson). These are the standard references for the 16-Mec-A3 syllabus; the exam is closed book, so every result below is obtained with the supplied Laplace-transform table and hand methods only.