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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