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BYUI ECEN 499 - Exam #2 Review

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1. Know how to determine system type for a system with unity feedback2. Know the transfer function (form and number of poles and zeros) for a P, PI, PD, and PID compensator and how they affects system type and system dynamics.3. Understand the steady‐state error corresponding to system type and reference input (see Table 4.1)4. Know a few basic Rules for Plotting a Positive 󰇛180°󰇜 Root Locus (found in 5.2.1 & 5.2.2 Summary) 5. RULE 1. The  branches of the locus start at the poles of 󰇛󰇜 and  branches end on the zeros of 󰇛󰇜6. RULE 2. The loci are on the real axis to the left of an odd number of poles and zeros.7. RULE 3*. The loci are attracted to zeros and repelled by poles. (Brother Smith's rule)8. Understand what a root‐locus plot represents / shows.9. Understand the Ziegler‐Nichols Tuning methods and what they provide. 10. Understand the Process Reaction Curve use in the Ziegler‐Nichols tuning method and what it represents.11. Understand how changing PID gains ,,affects percent overshoot, rise time, settling time, and steady‐state error.12. Know how to determine the finite and infinite zeros in a transfer function.13. Know the form for a lead compensator and what it is used to achieve.14. Know the form of a lag compensator and what it is used to achieve.15. Know how to arrange characteristic equation in the right form to plot a root‐locus. 16. Know how to select the best pole locations to achieve a dominate second order response.17. Be able to identify locations on a root locus that produce a stable, marginally stable, and unstable response.18. Be able to identify open‐loop poles and zeros on a root‐locus plot.19. Be able to determine the transfer function and characteristic equation given a block diagram.20. Know best practices for using pole‐zero cancelation and for stabilizing a system with an unstable pole. 21.Know how to determine steady‐state constants: ,, (see eq. 4.32 ‐ 4.34)22. Know the definition of a proper rational function.23. Understand what a sensitivity function is, what it is used for, and what it tells you about a system.24. From a Bode plot of the open loop transfer function, be able to determine the range of K that will make the system stable.25. From a Bode plot of the open loop transfer function, be able to determine the gain K that will produce a desired GM or PM for the closed loop system.26. Be able to determine percent overshoot a system will have from the systems PM.27. Be able to estimate the argument (or phase angle) of 󰇛󰇜from just the magnitude plot of 󰇛󰇜. 28. Be able to draw a Nyquist diagram from a Bode Plot.29. Be able to determine the range of K values that will make a system stable from the Nyquist Diagram.30. Be able to identify corresponding points on a Bode plot and a Nyquist Diagram.Exam #2 Review Chp 4, 5 and 6 ECEN 470 Exam Review Page

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