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22-Mec-A3 System Analysis and Control: May 2013

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

  1. Question 1 Unity-feedback system — real-pole range, step response, steady-state error
  2. Question 2 Type-1 system — gain for a ramp-error spec, then step/ramp errors
  3. Question 3 Routh–Hurwitz stability range of a fourth-order loop
  4. Question 4 Stability range, and the stabilising effect of a feedback zero
  5. Question 5 Root locus and the gain for $\zeta=0.5$
  6. Question 6 Bode design of a plant zero location for a target gain-crossover

Start with Question 1 →

Paper: National Exams — May 2013 · 07-Mec-A3 System Analysis and Controls · 3 hours · closed book (Casio/Sharp calculator + semi-log graph paper only) · any four of six questions constitute a complete paper; all questions of equal value. All six questions are solved here as a study resource.

Reference texts (subject). K. Ogata, Modern Control Engineering, 5th ed. (root locus Ch. 6, frequency response/Bode Ch. 7, steady-state error §5.8, Routh–Hurwitz §5.6); N. S. Nise, Control Systems Engineering, 8th ed.; R. C. Dorf & R. H. Bishop, Modern Control Systems, 13th ed.; G. F. Franklin, J. D. Powell & A. Emami-Naeini, Feedback Control of Dynamic Systems, 7th ed. Laplace-transform pairs are supplied with the exam.