22-Mec-A3 System Analysis and Control, May 2018: worked solutions

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

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

Paper format. National Exams, May 2018 — 16-Mec-A3 System Analysis and Control. Three hours, closed book; the only aid permitted is semi-log graph paper (plus an approved Casio or Sharp calculator). Six questions are printed and any four constitute a complete paper, all of equal value (25 marks each). All six questions are solved below. A table of Laplace transforms is appended to the paper as page 5 (the paper runs to five pages in total).

Reference texts.

Dorf & Bishop, Modern Control Systems, 14th ed. — block-diagram reduction (Ch. 2), performance and steady-state error (Ch. 5), Routh–Hurwitz (Ch. 6), root locus (Ch. 7), frequency response (Ch. 8).
Nise, Control Systems Engineering, 8th ed. — time response (Ch. 4), stability (Ch. 6), steady-state errors (Ch. 7), root locus (Ch. 8), frequency-domain techniques (Ch. 10).
Ogata, Modern Control Engineering, 5th ed. — Laplace methods (Ch. 2–3), transient/steady-state analysis (Ch. 5), root-locus and frequency-response design (Ch. 6–7).