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22-Elec-A2 Systems and Control: December 2018

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

  1. Question 1 Controller Design by Pole Placement
  2. Question 2 Servo Block Reduction, Disturbance Transfer Function and Routh–Hurwitz Stability
  3. Question 3 Second Order Dominant Poles Model and Step-Response Specifications
  4. Question 4 Steady-State Error Analysis with Reference and Disturbance Ramps
  5. Question 5 Three Second-Order Dominant-Pole Models — s-Domain, Closed Loop and Open Loop Frequency Response
  6. Question 6 Lag Controller Design in the Frequency Domain
  7. Question 7 State-Space Model, Controllability, Observability and Pole Placement by State Feedback
  8. Question 8 Root Locus Analysis, Gain Selection and Response Estimation

Start with Question 1 →

Paper format. National Exams, 16-Elec-A2 Systems & Control, December 2018 — 3 hours, CLOSED BOOK (approved calculator plus one double-sided handwritten aid sheet). Eight questions of 20 marks each; Questions 1 and 2 are compulsory and the candidate chooses three of the remaining six, so five answers make a complete paper (100 marks). All eight questions are solved here, because the set is intended as a study resource. A short Laplace-transform table and the standard second-order design charts are supplied with the paper.

Reference texts. N. S. Nise, Control Systems Engineering, 8th ed. (root locus, frequency-domain design, steady-state error); K. Ogata, Modern Control Engineering, 5th ed. (Routh–Hurwitz, state-space methods); R. C. Dorf and R. H. Bishop, Modern Control Systems, 13th ed. (dominant-pole modelling, lag/lead compensator design); G. F. Franklin, J. D. Powell and A. Emami-Naeini, Feedback Control of Dynamic Systems, 8th ed.