Question

WUJ E-learning Activity week 12 & 13 Design Activity 1. A Urea manufacturing factory (plant) is mathematically modelled and the transfer function of this plant is given by Gps) - Design a PID controller Ge(s) for converting this unstable system plant into a stable plant. Such that output of the system follows input

WUJ E-learning Activity week 12 & 13 Design Activity 1. A Urea manufacturing factory (plant) is mathematically modelled and the transfer function of this plant is given by Gps) - Design a PID controller Ge(s) for converting this unstable system plant into a stable plant. Such that output of the system follows input

Electrical

Answer 1

PID R15 - PID (91) har o Ta Derivative const ÞID = Tas?+KpStki -hals) a Kp = proporttinal const (ki - Integral cunst Cools) = s-55+6 Cols) = Chels), tools) Both are in cascaded connection Tas'+KpS+K; - 3-55+6) (Tas?+KpSthi) s/s2-55+6) Characteristic Equation 1761SHUS) = 0 sls2_55+6) + Tas?+ XpS+K; =0 53-55?+65 + Tas? + kps + kind 53 +52 [td-8) +51 6+ko) + k-0 CScanned with CamScanner

RH Table 6tko s2 Ta-5 si 7-16#kolla:5) Ta-5 So hai 0 for Stability Ta- 50 Ta > 5 - Ki-(6+kp (Ta-5) so (Tars) ki - -6+kp) so 6thp - 6+kp L ki Ta-5 - Kp < (kiss) o Kiso - © Unstable system is converted into stable When following Eqn satisfy . (1), 2 & 3 Td-5 Td 5 CS$canned with CamScanner
In PID controller

Td= Derivative coefficient

Kp=Proportional Coefficient

Ki=Integral Coefficient

The unstable system is converted into stable from satisfying Equation 1,2 And 3