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22-Elec-A2 Systems and Control: December 2019

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

  1. Question 1 State-Space Analysis and Pole Placement by State Feedback
  2. Question 2 Lead Controller Design in the Frequency Domain
  3. Question 3 Root Locus Analysis and Proportional Gain Selection
  4. Question 4 Controller Design by Pole Placement (PI + Rate Feedback)
  5. Question 5 Nyquist Stability Criterion for an Open-Loop-Unstable Plant
  6. Question 6 Routh–Hurwitz Stability of a PID Loop
  7. Question 7 Analytical Step Response from a State-Space Model
  8. Question 8 Second-Order Dominant-Poles Models in s- and Frequency Domain

Start with Question 1 →

Paper format. National Exams, December 2019 — 16-Elec-A2, Systems & Control. Three hours, closed book (approved Casio or Sharp calculator plus one double-sided handwritten 8.5×11″ formula sheet). Eight questions of 20 marks each. Questions 1 and 2 are compulsory; candidates then choose three of the remaining six, so five questions constitute a complete paper (100 marks). A short table of Laplace transforms and a page of standard second-order plots and formulae are supplied with the paper. Every one of the eight questions is solved below, because the full set is the more useful study resource.

Reference texts.

Check: figure reads. Questions 2, 3, 5 and 8 depend on plotted data. Every value quoted below was read from the printed figures. Chart reads carry a tolerance of roughly the last quoted digit; where a graphical read drives a design, the exact analytical value is given alongside it.