Question

2. Instead of using the "cook book" procedure, repeat #1 using 'rltoor in Matlab. The input to 'tltool is the open-loop transfer function. Add the following specifications before adding your compensator: · ζ20.8 26 To add specifications, right click on the root locus and select "Design Requirements", then "New". You may also need to adjust the axes on the figure before adding your compensator. Right click on the figure somewhere in the non-shaded area, then select "Properties", then the "Limits" tab. Adjust as needed Now add a compensator by right clicking on the figure, select "Add pole/zero", then select "Lead". Once you've added the pole, you can slide both the pole and zero around until the root locus bends to the intersection of both specifications. The last step involves clicking on the red gain square and sliding it to the intersection of both specifications. a. (5 pts) Print your final root locus figure You now have a compensator design. In the "Control and Estimation Tools Manager" (which is its own window not the "SISO Design for SiSO Task" window), Matlab will show you the form of your compensator. (2 pts) Write down this form of the compensator. (3 pts) Manipulate the compensator so that it looks like the form: b. c. S+ Provide the values for K。a, and T.

Answer 1

(4st4) The closed lo P poles alS2on t on Now, the open loop pol are at 3-- 3, -4,-o-5. The cosed loop polescalulaled below. one Eee s al s -i 128.3 @y : 190-tan.' ( :9q.Y.

Anale Bfseckon mehad foa pole and 2o 46 P -4.3 focm lhe above Sraph, P: locator? Pole Abco , SA fs }he angle Brsectron of Sc 4.8

(S+5.3) (Stg.부) i-e,, (St +12) (25+1) .. K-16.3 (345.3)