Question

USING MATLAB TO SOLVE THIS PROBLEM -

Figure Above ----------------------------------------------------------------------

26. A numerically controlled machine tool positioning servomechanism has a normalized and scaled transfer function given by S(s+1 Performance specifications of the system in the unity feedback configu ration of Fig. 5.60 are satisfied if the closed-loop poles are located at (a) Show that this specification cannot be achieved by choosing propor tional control alone, D(s) = a lead compensator D)- that will s + p fication

Answer 1

Given that chaactenties eguortienm 1s- Caiveo ocs)1kp 14 SCS41D 2. venn that pole shoutd he- SI2-1- S2-1+3 S1+S2- 2 and S1S 2 - a34 SIS2-1-3)(-1-40)

81 amdl S280 ore y etuation SIS2 |KP Sit82ニー2,S,482ニ-) DCS)ニKP 81+ S2 - we cann ee hat but -2キ-1 Sb meet specifccotion eloes not givem 1t 1CS+2) S(S+13 CS+ P S(S+1(SP)KCS+2)- 0 3 (SSP104 KSK2O Aet pale at Si-1-3S2143 let To aut zzo ls lpDssible So e s 3 8+ 8-CP+12+ 2 SCP+1c)+Dこ0 - (P+1) Si+S2 S1-S2こ ate it P+Kこy amo 3 3 S OCS)