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22-Elec-B2 Advanced Control Systems: May 2016

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

  1. Question 1 Stability limit, phase margin and steady-state errors of a non-minimum-phase loop
  2. Question 2 State-space realisation, minimality conditions and sampled-data poles
  3. Question 3 Full state feedback with pole placement and unity DC gain
  4. Question 4 Deadbeat digital control of an integrator behind a zero-order hold
  5. Question 5 Identifying a first-order-plus-dead-time plant from a sampled step test
  6. Question 6 Proportional control of a delayed integrator to a specified gain margin

Start with Question 1 →

Paper format. 07-Elec-B2 Advanced Control Systems, May 2016 — closed book, three hours, six questions. The instructions state that “any four questions constitute a complete paper” and that “all questions are of equal value”, so each carries 25 marks and a candidate answers four. Tables of Laplace and z-transforms are appended to the paper. All six questions are worked below, because this set is a study resource rather than a three-hour sitting.

Reference texts. G. F. Franklin, J. D. Powell and A. Emami-Naeini, Feedback Control of Dynamic Systems, 8th ed. (Ch. 3 root locus and Routh, Ch. 6 frequency response and margins, Ch. 7 state-space design); K. Ogata, Modern Control Engineering, 5th ed. (Ch. 5, 7, 9); K. J. Åström and B. Wittenmark, Computer-Controlled Systems: Theory and Design, 3rd ed. (Ch. 2 sampling and the ZOH equivalent, Ch. 4 pole placement, Ch. 13 identification); G. F. Franklin, J. D. Powell and M. Workman, Digital Control of Dynamic Systems, 3rd ed. (Ch. 4, 8). These are the references listed for exam code 07-Elec-B2 / 16-Elec-B2 in the Engineers Canada syllabus.