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22-Elec-A2 Systems and Control: Undated paper

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

  1. Question 1 Routh Array and Routh–Hurwitz Criterion of Stability (20 marks)
  2. Question 2 Root Locus Analysis; Bode Plots and Gain Margin (20 marks)
  3. Question 3 Signal Flow Diagrams — Mason’s Gain Formula (20 marks)
  4. Question 4 Second Order Dominant Poles Model, Step Response Specifications (20 marks)
  5. Question 5 Controller Design in Frequency Domain — Lead Controller (20 marks)
  6. Question 6 Root Locus Analysis and Gain Selection, Second Order Model (20 marks)
  7. Question 7 Controller Design by Pole Placement, Response Specifications (20 marks)
  8. Question 8 State Space Model, Pole Placement by State Feedback, Steady State Errors (20 marks)

Start with Question 1 →

Paper format: National Exams, 16-Elec-A2 Systems & Control, 3 hours, CLOSED BOOK — an approved Casio or Sharp calculator plus one double-sided handwritten 8.5 × 11″ formula sheet are permitted. Eight questions of 20 marks each; Questions 1 and 2 are compulsory and the candidate chooses three of the remaining six, so five questions (100 marks) constitute a complete paper. All eight questions are solved below, because this set is a study resource rather than an exam script.

Reference texts for this subject: Nise, Control Systems Engineering, 8th ed.; Ogata, Modern Control Engineering, 5th ed.; Dorf & Bishop, Modern Control Systems, 13th ed.; Franklin, Powell & Emami-Naeini, Feedback Control of Dynamic Systems, 8th ed.. A short Laplace transform table and the standard second-order design charts (percent overshoot, resonant peak and phase margin versus damping ratio) are printed on pages 2–3 of the examination paper.

Figure note (read before checking any number). Figures Q2.1 and Q5.1 — are printed in landscape (rotated 90°). Read straight off the rotated image, both Bode diagrams appear to be Type-1 or Type-2 plots; read the right way up they are the ordinary responses of the transfer functions the questions actually supply. Every figure below has been redrawn from the correctly oriented page and cross-checked against the supplied transfer function at DC and at high frequency.