Question

plz solve this problem

[10] Consider the system shown below. Design the PD controller such that the closed loop system satisfies the following specifications. a) The steady-state error with respect to a step disturbance W (s) is no more than 10 %. b) The third order system gives a dominant 2nd order response such that the third pole s=p satisfies p 10wn, where Zwn is the damping constant. |W(s) Y(s) 1 E(S)Kp+Kps R(s) s(s+10)

Answer 1

YA) (st19 R(s) EfA KptKps to distuubance input W) to khran belo(f 2) diag roun with neapect the block A-2 WS t3.3 Rivalant wnty feednck ontr eln chth foraerd path trausfer tunckin G 2Tstio (+ (s+10 S-I Vim GiA)= 4-) tap distumbauce steady state evrer due t

Kp 0.9kp poles of the third onlu mstem characteristic ean of tue tuird oreder system +Ca 20 1020 . -- (1) 124 6 fthe Fiven rgaten fig.1 characteristic eqn of wiay 1 ket Kps) Kt Kp)- 0-2) B10 , s, s ce get the cacfficdents S Conmpaing 125AY-109 SA=) KP-102Aj I0x xco 10 45 IS KpE A20 a20 20x PD Contollea trauofer fucbion 14.022 + 14.0 22.8 Ma