NivaarExam PrepOfficial exam papers ↗

22-Mec-A3 System Analysis and Control: December 2019

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

  1. Question 1 Direct Laplace Transforms of Differential and Integral Equations
  2. Question 2 Two-Phase AC Servomotor Positioning System
  3. Question 3 Steady-State Error of a Type-2 Loop
  4. Question 4 Routh–Hurwitz Stability of Three Feedback Loops
  5. Question 5 Bode Diagram and Unconditional Stability of a Second-Order Servomechanism
  6. Question 6 Root Locus and Critical Gain of a Three-Pole Loop

Start with Question 1 →

Paper format. National Examination 16-Mec-A3 — System Analysis and Control, December 2019. Three hours; closed book; no aids other than semi-logarithmic graph paper and an approved Casio or Sharp calculator. Six 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 six questions are solved here, so 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. 2 (Laplace modelling), 5 (transient response), 6 (root locus), 7 (frequency response); N. S. Nise, Control Systems Engineering, 8th ed. (Wiley) — Chs. 2, 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.