Exam 2 Review Chp 4 5 and 6 ECEN 470 4 1 cid 1838 cid 4666 cid 1871 cid 4667 Summary 1 Know how to determine system type for a system with unity feedback 2 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 Know a few basic Rules for Plotting a Positive cid 4666 180 cid 4667 Root Locus found in 5 2 1 5 2 2 5 RULE 1 The cid 1866 branches of the locus start at the poles of cid 1838 cid 4666 cid 1871 cid 4667 and cid 1865 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 11 Understand how changing PID gains cid 3435 cid 1837 cid 3043 cid 1837 cid 3036 cid 1837 cid 3031 cid 3439 affects percent overshoot rise time settling represents 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 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 21 Know how to determine steady state constants cid 1863 cid 3043 cid 1863 cid 3049 cid 1863 cid 3028 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 cid 1838 cid 4666 cid 1862 cid 2033 cid 4667 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 30 Be able to identify corresponding points on a Bode plot and a Nyquist Diagram response pole cid 1838 cid 4666 cid 1862 cid 2033 cid 4667 Diagram Exam Review Page 1