Post on 05-Mar-2016
description
7/21/2019 Tut Sheet 10
http://slidepdf.com/reader/full/tut-sheet-10 1/1
Department of Electrical and Instrumentation Engineering
UEI501 (Control System)
Tutorial-10
Q-1. Decompose the transfer function given below by using parallel decomposition
3 2
3 2
( ) 7 12 8
( ) 6 11 6
Y s s s s
U s s s s
Q-2. Compute the state transition matrix by infinite series method0 1
1 2 A
Q-3. Obtain the transfer function of the system described by
1 1
2 2
0 1 0
;2 3 1
x x
u x x
1
(0) ,1 x
1
21 0
x
y x
Q-4. Determine the stability of the system whose A matrix is:
(a) 0 2
1 3 A
(b) 0 0
1 1 A
Q-5. Given the system
( ) Ax(t) Bu(t),x t
( ) ( )y t Cx t
where0 2
1 3
A ,1
2
B , 1 1C
Determine the state and output controllability.
Q-6. Test the observability of the system described by
2 0
0 1
A ,3
1
B , 1 0C
Q-7. Test the controllability and observability of the system described by
1 1
2 2
1 1 0 ;3 2 1
x x u x x
1
2
1 0 x y x