ELE 302 Lecture Notes - Lecture 9: Damping Ratio, Step Response, Settling Time

• School: Ryerson University
• Department: Electrical Engineering
• Course: ELE 302
• Professor: Matthew Kyan

Document Summary

The next step is to find percent overshoot, and from it the damping ratio parameter. From the plot, maximum value of the output y(t) can be read off as ymax 1. 25. Percent overshoot po can be then calculated as: 100% 39% yss 0. 9 is (cid:374)e(cid:454)t (cid:272)al(cid:272)ulated f(cid:396)o(cid:373) pe(cid:396)(cid:272)e(cid:374)t o(cid:448)e(cid:396)shoot po, (cid:271)ased o(cid:374) e(cid:395)uatio(cid:374) (cid:1011) (cid:1005)(cid:1005): The radian frequency of natural oscillations, n , can be found from any measure of. The frequency of natural oscillations, n , is (cid:272)al(cid:272)ulated f(cid:396)o(cid:373) e(cid:395)uatio(cid:374) (cid:1011) . 0. 29 2 note that we could also use the formula for rise time in. 2 n finally, we can also compute n from the oscillation period. The period is read off the plot as tperiod. Course notes winter 2012 n all three values, 5. 17, 4. 87 and 5. 05, are in the same ballpark, and we can average them out: n.