HAL Id: hal-00844944
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Just In Time Control of Timed Event Graphs: Update of Reference Input, Presence of Uncontrollable Input
Eric Menguy, Jean-Louis Boimond, Laurent Hardouin, Jean-Louis Ferrier
To cite this version:
Eric Menguy, Jean-Louis Boimond, Laurent Hardouin, Jean-Louis Ferrier. Just In Time Control of
Timed Event Graphs: Update of Reference Input, Presence of Uncontrollable Input. IEEE Transac-
tions on Automatic Control, Institute of Electrical and Electronics Engineers, 2000, 45 (11), pp.2155-
2159. �hal-00844944�
I n i t i a l m a r k i n g o f a p l a c e ( t o k e n )
1 H o l d i n g t i m e o f
t o k e n s i n a p l a c e ( i n t i m e u n i t s )
UY 2
1 22
4
O u t p u t s g r e a t e r t h a n d e s i r e d o u t p u t s
z '
y
t i m e
e v e n t s
0 5 1 0 1 5
5
1 0 1 5 2 0
t ' = 6
K = 4
F i g u r e 1 : A t i m e d e v e n t g r a p h
K = 4
r4
(
t ' = 6
r 4 ( u o p t u 'o p t)
t i m e
e v e n t s
0 5 1 0 1 5
05
1 0 1 5 2 0
u 'o p t
u o p t
) =
F i g u r e 3 : C o n t r o l s ( t h i n l i n e ) , ( t h i c k l i n e ) u
o p tu '
o p ta n d ( d o t t e d l i n e ) r -
4( u
o p t)
F i g u r e 4 : O u t p u t ( t h i n l i n e ) a n d r e f e r e n c e y
F i g u r e 2 : R e f e r e n c e i n p u t ( t h i n l i n e ) , ' ( t h i c k z z
z i n p u t ' ( d o t t e d l i n e )
0 5 1 0 1 5
5
1 0 1 5 2 0
z '
z 4
z(k ) = z '(k ) k = 0 , . . . , 4
r- u
g Ä ( o p t )
t i m e
e v e n t s
t ' = 6
K = 4