Question 2 Given the following open-loop transfer function K Got (2)= (z-1)(z-0.5) a) Calculate the closed loop system with unity feedback b) Then evaluate the range of K for system stability.

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter6: Power Flows
Section: Chapter Questions
Problem 6.16P
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Please solve Q 2
Question 1
A. If the sampling-time is 0.1 s, evaluate the Zero-Order Hold equivalent of the
following process
B. Convert the following analogue controller to its equivalent discrete-time
transfer function model Go(z), using the Bilinear Integration method.
10
G(s)=- . Assume sampling time T=0.1 s.
(s+1)
Appendix:
a) Z-Transform Table:
X(s)
x(1)
Question 2
Given the following open-loop transfer function of TX3012TAL
K
Got (2)=-
(z-1)(z-0.5)
a) Calculate the closed loop system with unity feedback
b) Then evaluate the range of K for system stability.
1
2
3
4
5
1
S
1
s+a
1
3
1(7)
t
G(s) =
7
ATA
x(KT) or x(k)
Kronecker delta (k)
1
k=0
0
k + 0
1(k)
2
(s+1)(s+2)
akt
kT
(KT)²
X(z)
1
1
1-24
1
1-6-2
IZ-¹
T²z¹(1+2¹¹)
Transcribed Image Text:Question 1 A. If the sampling-time is 0.1 s, evaluate the Zero-Order Hold equivalent of the following process B. Convert the following analogue controller to its equivalent discrete-time transfer function model Go(z), using the Bilinear Integration method. 10 G(s)=- . Assume sampling time T=0.1 s. (s+1) Appendix: a) Z-Transform Table: X(s) x(1) Question 2 Given the following open-loop transfer function of TX3012TAL K Got (2)=- (z-1)(z-0.5) a) Calculate the closed loop system with unity feedback b) Then evaluate the range of K for system stability. 1 2 3 4 5 1 S 1 s+a 1 3 1(7) t G(s) = 7 ATA x(KT) or x(k) Kronecker delta (k) 1 k=0 0 k + 0 1(k) 2 (s+1)(s+2) akt kT (KT)² X(z) 1 1 1-24 1 1-6-2 IZ-¹ T²z¹(1+2¹¹)
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