(KI skp) 1+ (Ki+sKp) s(s+)+{ (K, +nKp) (K,+sKp)

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Write the MATLAB code of the Problem already solved

Now the close loop transfer function will be
T (s) =
Go(s)
1+Go(s)
T (s) =
%3D
I+
T (s)
s(s+)+ (K, +sKp)
(K,+sKp)
%3D
T (s) =
---(1)
Standard equation of the 2 nd order system
T, (s) =
compare equation (1) and (2),
240, = (1 + gKp)
since damping factor to, = 0.8, so
1.6 = (1 + gKp)
(1.65-1)
Kp =
gK,
%3D
5.
qu
KI
Transcribed Image Text:Now the close loop transfer function will be T (s) = Go(s) 1+Go(s) T (s) = %3D I+ T (s) s(s+)+ (K, +sKp) (K,+sKp) %3D T (s) = ---(1) Standard equation of the 2 nd order system T, (s) = compare equation (1) and (2), 240, = (1 + gKp) since damping factor to, = 0.8, so 1.6 = (1 + gKp) (1.65-1) Kp = gK, %3D 5. qu KI
Transfer Function and Step Response
INSTRUCTIONS:
2. Carry out a proportional-integral control that guarantees a damping factor of 0.8.
G(s) = g/ Ts +1
The Block diagram of the given system will be
RS)
+,
PI
Gain of the PI controller will be
PI= (Kp + )
Overall open loop gain of the system
Go (s) = (Kp + ) ()
I+5
(Ki+sKp)
Go (s) =
(*:)
Transcribed Image Text:Transfer Function and Step Response INSTRUCTIONS: 2. Carry out a proportional-integral control that guarantees a damping factor of 0.8. G(s) = g/ Ts +1 The Block diagram of the given system will be RS) +, PI Gain of the PI controller will be PI= (Kp + ) Overall open loop gain of the system Go (s) = (Kp + ) () I+5 (Ki+sKp) Go (s) = (*:)
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