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22-Elec-B2 Advanced Control Systems: May 2013

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

  1. Question 1 Steady-state error of a cruise-control loop with a road grade
  2. Question 2 Controllability, observability and stability of a parameter-dependent state model
  3. Question 3 Algebraic design of a proper, stable controller from a specified sensitivity
  4. Question 4 Identifying a second-order plant from three experiments
  5. Question 5 Discrete-time model and deadbeat state feedback for a sampled-data loop
  6. Question 6 Delay margin, Nyquist plot and the effect of a sensor bias

Start with Question 1 →

Paper format. National Exams, May 2013 — 07-Elec-B2 Advanced Control Systems. Closed book, three hours. Tables of Laplace and z-transforms are supplied with the paper. 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 is worth 25 marks out of 100. Candidates are urged to state any interpretive assumptions with their answer.

Reference texts. G. F. Franklin, J. D. Powell and A. Emami-Naeini, Feedback Control of Dynamic Systems, 7th ed., Pearson (root locus, Routh, steady-state error, frequency response); K. J. Åström and R. M. Murray, Feedback Systems: An Introduction for Scientists and Engineers, 2nd ed., Princeton (sensitivity, Nyquist with time delay, fundamental limitations); K. Ogata, Modern Control Engineering, 5th ed., Pearson (state-space, controllability and observability); G. F. Franklin, J. D. Powell and M. L. Workman, Digital Control of Dynamic Systems, 3rd ed., Ellis-Kagle (zero-order-hold equivalents, deadbeat design). These are the works EGBC / Engineers Canada list for the Elec-B2 syllabus.

Scope of this solution. Although the examination is marked on four questions, all six are solved here so that the set works as a complete study resource.