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22-Mec-A3 System Analysis and Control: December 2014

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

  1. Question 1 Root Locus and Range of Stabilising Gain
  2. Question 2 Bode Diagrams of Two Transfer Functions
  3. Question 3 Sinusoidal Steady-State Response of a First-Order System
  4. Question 4 Routh–Hurwitz Root Counts
  5. Question 5 Transient Terms of a Two-Input Servo with Rate Feedback
  6. Question 6 Steady-State Errors of a Motor Position Servo

Start with Question 1 →

Paper format. National Exams, December 2014 — 07-Mec-A3 System Analysis and Control. Three hours, closed book (Casio or Sharp approved calculator; semi-logarithmic graph paper is the only permitted aid). Six questions are printed; the rubric states that any four questions constitute a complete paper and that all questions are of equal value, so each carries 25 marks. A two-page table of Laplace transform pairs is appended to the paper. All six questions are solved here.

Reference texts. K. Ogata, Modern Control Engineering, 5th ed. (Prentice Hall); N. S. Nise, Control Systems Engineering, 8th ed. (Wiley); R. C. Dorf & R. H. Bishop, Modern Control Systems, 13th ed. (Pearson); G. F. Franklin, J. D. Powell & A. Emami-Naeini, Feedback Control of Dynamic Systems, 8th ed. (Pearson). Section references in the concept panels below follow Ogata 5th ed. and Nise 8th ed.

Convention used throughout. Angles are quoted in degrees for phasor results and in radians inside time functions; a lagging phase is written as a negative angle. "Time constant" always means the reciprocal of the magnitude of the real part of the governing closed-loop pole.