Nivaar worked solution (AI-drafted; not reviewed by a licensed engineer)
National Examinations, 07-Elec-B2 Advanced Control Systems, May 2014 — 3 hours, closed book. Six questions; the rubric states that “any four questions constitute a complete paper” and that “all questions are of equal value”, so each carries 25 marks. Tables of inverse Laplace and inverse z-transforms are appended to the paper as pages 4 and 5. Only a Casio FX-991 or Sharp EL-540 calculator is permitted. All six questions are solved here, because the 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, 7th ed., Pearson (Routh–Hurwitz, stability margins, steady-state error, frequency response); K. J. Åström and R. M. Murray, Feedback Systems: An Introduction for Scientists and Engineers, 2nd ed., Princeton (sensitivity, loops with transport delay, non-minimum-phase limitations); K. Ogata, Modern Control Engineering, 5th ed., Pearson (state-space realisations, controllability and observability, pole placement); G. F. Franklin, J. D. Powell and M. L. Workman, Digital Control of Dynamic Systems, 3rd ed. (zero-order-hold equivalents, the Jury test, discrete root loci). These are the works listed by Engineers Canada / EGBC for the Elec-B2 syllabus.
In Questions 1 and 6 the disturbance arrow carries a minus at the plant-input summing junction and the controller output a plus, so the signal driving the plant is u − d; in Question 3 the disturbance is subtracted at the plant output, so y = Pu − d. Both were confirmed against the printed paper of pages 2 and 3. The sign decides the answer to 1(c), 3(c) and 6(c), so it is worth ten seconds at the start of the paper.
