Embed Size (px)
Citation preview
USING USING LINEAR ANALYSISLINEAR ANALYSIS IN MATLAB IN MATLAB FOR MEP 1422/1522 (MATLAB V7, R14)FOR MEP 1422/1522 (MATLAB V7, R14)
Dr. Nik Rumzi Nik Idris
Dept. of Energy ConversionFakulti Kejuruteraan ElektrikUniversiti Teknologi Malaysia
)1s1.0(s100
GOL
Say, we need to obtain Bode plot of this TF:
Which can be constructed using SIMULINK blocks:
Fakulti Kejuruteraan Elektrik
We can to put dummy blocks so that we can define the input-output points
Fakulti Kejuruteraan Elektrik
Right click the input point and select Linearization Points Input Point
Fakulti Kejuruteraan Elektrik
Right click the output point and select Linearization Points Output Point
Fakulti Kejuruteraan Elektrik
Start the Linear Analysis: Tools Control Design Linear Analysis
Fakulti Kejuruteraan Elektrik
Start the Linear Analysis: Tools Control Design Linear Analysis
Fakulti Kejuruteraan Elektrik
Select the Bode response plot and Linearize Model
Fakulti Kejuruteraan Elektrik
Select the Bode response plot and Linearize Model
Fakulti Kejuruteraan Elektrik
Try to place input point at several different input points. For each points, obtain the Bode plot
Fakulti Kejuruteraan Elektrik
The Bode plots of the 3 different input points:
Bode Diagram
Frequency (rad/sec)
-100
-50
0
50
100From: Input Point To: Output Point
Mag
nitu
de (
dB)
10-1
100
101
102
103
-180
-135
-90
-45
0
Phas
e (d
eg)
Fakulti Kejuruteraan Elektrik
Open-loop and close-loop plots
Bode Diagram
Frequency (rad/sec)
-100
-50
0
50
100From: Input Point To: Output Point
Mag
nitu
de (
dB)
10-1
100
101
102
103
-180
-135
-90
-45
0
Phas
e (d
eg)
Crossover frequency approximates close–loop bandwidth
Fakulti Kejuruteraan Elektrik
s
s1k
pik
ki
• Contain a zero and a pole at origin• DC gain can be adjusted independently from
location of zero
Transfer function
PI controller
Fakulti Kejuruteraan Elektrik
PI controller
Bode Diagram
Frequency (rad/sec)
-100
-50
0
50
100From: Input Point To: Output Point
Mag
nitu
de (
dB)
10-1
100
101
102
103
-90
-45
0
Phas
e (d
eg)
ki=1, kp=0.1
ki=100, kp=10
Fakulti Kejuruteraan Elektrik
