Al-Iraqia Universirty Electric Engineering Department Control Theory Dr. Ayad Mahmood Kwad لجامعة العراقية Controllability Matrix Example 4 The following systems are completely state controllable: 0 x1 = + น *2 1 X2 5 x1 *2 = 0 1 0 x2 + น 3 0 0 X3 21 Al-Iraqia Universirty Electric Engineering Department Control Theory Dr. Ayad Mahmood Kwad الجامعة العراقية Controllability Matrix Example 5 The following systems are not completely state controllable: 1 *2 3. = x1 + น -2 x 1 1 x1 4 2 = 0 1 0 X2 + 00 ՂԱԶ 0 0 -2 X3 30

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Al-Iraqia Universirty
Electric Engineering Department Control Theory
Dr. Ayad Mahmood Kwad
لجامعة
العراقية
Controllability Matrix
Example 4
The following systems are completely state controllable:
0
x1
=
+
น
*2
1
X2
5
x1
*2
=
0
1 0
x2
+
น
3
0
0
X3
21
Al-Iraqia Universirty
Electric Engineering Department
Control Theory
Dr. Ayad Mahmood Kwad
الجامعة
العراقية
Controllability Matrix
Example 5
The following systems are not completely state controllable:
1
*2
3.
=
x1
+
น
-2 x
1
1
x1
4 2
=
0
1
0
X2
+
00
ՂԱԶ
0
0
-2
X3
30
Transcribed Image Text:Al-Iraqia Universirty Electric Engineering Department Control Theory Dr. Ayad Mahmood Kwad لجامعة العراقية Controllability Matrix Example 4 The following systems are completely state controllable: 0 x1 = + น *2 1 X2 5 x1 *2 = 0 1 0 x2 + น 3 0 0 X3 21 Al-Iraqia Universirty Electric Engineering Department Control Theory Dr. Ayad Mahmood Kwad الجامعة العراقية Controllability Matrix Example 5 The following systems are not completely state controllable: 1 *2 3. = x1 + น -2 x 1 1 x1 4 2 = 0 1 0 X2 + 00 ՂԱԶ 0 0 -2 X3 30
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