Nivaar worked solution (AI-drafted; not reviewed by a licensed engineer)
Paper format. 07-Mec-A3 System Analysis and Control, National Exams May 2015 — 3 hours, closed book (approved Casio or Sharp calculator and semi-log graph paper only). Six questions; the paper instructs that "any four questions constitute a complete paper" and that all questions are of equal value, so each question is worth 25 marks. All six are solved here. A Laplace-transform table is supplied with the paper (pages 5–6).
Reference texts. K. Ogata, Modern Control Engineering, 5th ed. (Pearson) — Ch. 5 (transient response), Ch. 6 (root locus), Ch. 7 (frequency response); 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); G. F. Franklin, J. D. Powell and A. Emami-Naeini, Feedback Control of Dynamic Systems, 8th ed. (Pearson).