Modelling and Analysis of a Robust Control of Manufacturing Systems: Flow-Quality Approach
This paper proposes a modeling method of the laws controlling manufacturing systems with temporal and non temporal constraints. A methodology of robust control construction generating the margins of passive and active robustness is being elaborated. Indeed, two paramount models are presented in this paper. The first utilizes the P-time Petri Nets which is used to manage the flow type disturbances. The second, the quality model, exploits the Intervals Constrained Petri Nets (ICPN) tool which allows the system to preserve its quality specificities. The redundancy of the robustness of the elementary parameters between passive and active is also used. The final model built allows the correlation of temporal and non temporal criteria by putting two paramount models in interaction. To do so, a set of definitions and theorems are employed and affirmed by applicator examples.
[1] ARTEMIS-IMAG, ERIHST, LAG, LAMII-CESALP, CORINE "COnduite
Robuste et INtelligente dans les Entreprises manufacturi`eres",
Technique Report, May 1996.
[2] P. Bonhomme, P. Aygalinc, S. Calvez, Using robustness properties for
multi-products processing, IFAC/IFIP/IEEE, 2nd Conference on Management
and Control of Production and Logistics, (MCPL-2000), Grenoble,
5-8 July 2000.
[3] P. Bonhomme, Control of time critical systems using partial order, 23rd
International Modal Analysis Conference (IMAC -05), Paris, 5-8 July
2005.
[4] P. Bonhomme, Control and performances evaluation of time dependent
systems using an enumerative approach, International Conference on
Control Applications, (CCA -06), Paris, July 2006.
[5] A. Boufaied, A. Subias et M. Combacau, Distributed time constraints
verification modelled with time Petri Nets, 17th IMACS Word Congress
on Scientific Computation, Applied Mathematics and Simulation, Paris,
CD ROM, July 2005.
[6] F. Chetouane, S. Collart Dutilleul, J. P. Denat, Modeling and analysis of
time constraints using P-Time Petri Nets for a multi-hoist electroplating
line, 3rd Conference on Management and Control of Production and
Logistics (MCPL-2004), Santiago, pp. 279-284, November 2004
[7] S. Collart Dutilleul , H. Dhouibi, E. Craye, Tolerance analysis approach
with interval constrainted Petri nets, ESMc 2004 conference, Paris, 2004.
[8] S. Collart Dutilleul , H. Dhouibi, E. Craye, Internal robustness of discret
event system with internal constraints in repetitive functionning mode,
ACS-2003 congres, Miedzyzdroje, Poland, 2003.
[9] S. Collart Dutilleul, Commande robuste d-ateliers `a contraintes de temps
de s'ejour : application `a la galvanoplastie, Ph.D. Thesis,Universit'e de
Savoie, december 1997.
[10] S. Collart Dutilleul, J. P. Denat, W. Khansa, Commande robuste d-un
atelier flot sans stocks et sans attentes, Automatique, Informatique Industrielle
(APII), vol. 28, number 6, 1994.
[11] H. Dhouibi ,S. Collart Dutilleul , E.Craye, L. Nabli, Computing intervals
of Intervals Constrainted Petri Net: a tobacco manufacturing application,
IMACS -05, Paris, July 05.
[12] H. Dhouibi, Utilisation des R'eseaux de Petri `a Intervalles pour la
r'egulation d-une qualit'e : application une manufacture de tabac, h.D.
Thesis,Ecole Centrale de Lille , December 2005.
[13] N. Jerbi, S. Collart Dutilleul, E. Craye, M. Benrejeb, Time disturbances
and filtering of sensors signals in tolerant multi-product job-shops with
Time Constraints, International Journal of Computers, Communications
control, Vol. I, number 4, pp. 61-72, 2006.
[14] W. Khansa, R'eseaux de Petri P-temporels: contribution `a l-'etude des
syst m` es a` e've'nements Discrets, Ph.D. Thesis,Universite' de Savoie,
France, March 1997.
[15] W. Khansa, P. Aygalinc, J. P. Denat, Structural analysis of P-time Petri
Nets, Computational Engineering in Systems Applications (CESA96),
Lille, France, pp. 127-136, July 1996.
[16] J. Long, B. Descotes-Genon, Flow optimization method for control
synthesis of flexible manufacturing systems modeled by controlled Timed
Petri Nets, IEEE International Conference on Robotics and Automation,
Atlanta, Georgia, USA, Vol. 1, pp. 598-603, May 1993.
[1] ARTEMIS-IMAG, ERIHST, LAG, LAMII-CESALP, CORINE "COnduite
Robuste et INtelligente dans les Entreprises manufacturi`eres",
Technique Report, May 1996.
[2] P. Bonhomme, P. Aygalinc, S. Calvez, Using robustness properties for
multi-products processing, IFAC/IFIP/IEEE, 2nd Conference on Management
and Control of Production and Logistics, (MCPL-2000), Grenoble,
5-8 July 2000.
[3] P. Bonhomme, Control of time critical systems using partial order, 23rd
International Modal Analysis Conference (IMAC -05), Paris, 5-8 July
2005.
[4] P. Bonhomme, Control and performances evaluation of time dependent
systems using an enumerative approach, International Conference on
Control Applications, (CCA -06), Paris, July 2006.
[5] A. Boufaied, A. Subias et M. Combacau, Distributed time constraints
verification modelled with time Petri Nets, 17th IMACS Word Congress
on Scientific Computation, Applied Mathematics and Simulation, Paris,
CD ROM, July 2005.
[6] F. Chetouane, S. Collart Dutilleul, J. P. Denat, Modeling and analysis of
time constraints using P-Time Petri Nets for a multi-hoist electroplating
line, 3rd Conference on Management and Control of Production and
Logistics (MCPL-2004), Santiago, pp. 279-284, November 2004
[7] S. Collart Dutilleul , H. Dhouibi, E. Craye, Tolerance analysis approach
with interval constrainted Petri nets, ESMc 2004 conference, Paris, 2004.
[8] S. Collart Dutilleul , H. Dhouibi, E. Craye, Internal robustness of discret
event system with internal constraints in repetitive functionning mode,
ACS-2003 congres, Miedzyzdroje, Poland, 2003.
[9] S. Collart Dutilleul, Commande robuste d-ateliers `a contraintes de temps
de s'ejour : application `a la galvanoplastie, Ph.D. Thesis,Universit'e de
Savoie, december 1997.
[10] S. Collart Dutilleul, J. P. Denat, W. Khansa, Commande robuste d-un
atelier flot sans stocks et sans attentes, Automatique, Informatique Industrielle
(APII), vol. 28, number 6, 1994.
[11] H. Dhouibi ,S. Collart Dutilleul , E.Craye, L. Nabli, Computing intervals
of Intervals Constrainted Petri Net: a tobacco manufacturing application,
IMACS -05, Paris, July 05.
[12] H. Dhouibi, Utilisation des R'eseaux de Petri `a Intervalles pour la
r'egulation d-une qualit'e : application une manufacture de tabac, h.D.
Thesis,Ecole Centrale de Lille , December 2005.
[13] N. Jerbi, S. Collart Dutilleul, E. Craye, M. Benrejeb, Time disturbances
and filtering of sensors signals in tolerant multi-product job-shops with
Time Constraints, International Journal of Computers, Communications
control, Vol. I, number 4, pp. 61-72, 2006.
[14] W. Khansa, R'eseaux de Petri P-temporels: contribution `a l-'etude des
syst m` es a` e've'nements Discrets, Ph.D. Thesis,Universite' de Savoie,
France, March 1997.
[15] W. Khansa, P. Aygalinc, J. P. Denat, Structural analysis of P-time Petri
Nets, Computational Engineering in Systems Applications (CESA96),
Lille, France, pp. 127-136, July 1996.
[16] J. Long, B. Descotes-Genon, Flow optimization method for control
synthesis of flexible manufacturing systems modeled by controlled Timed
Petri Nets, IEEE International Conference on Robotics and Automation,
Atlanta, Georgia, USA, Vol. 1, pp. 598-603, May 1993.
@article{"International Journal of Mechanical, Industrial and Aerospace Sciences:55837", author = "Lotfi Nabli and Achraf Jabeur Telmoudi and Radhi M'hiri", title = "Modelling and Analysis of a Robust Control of Manufacturing Systems: Flow-Quality Approach", abstract = "This paper proposes a modeling method of the laws controlling manufacturing systems with temporal and non temporal constraints. A methodology of robust control construction generating the margins of passive and active robustness is being elaborated. Indeed, two paramount models are presented in this paper. The first utilizes the P-time Petri Nets which is used to manage the flow type disturbances. The second, the quality model, exploits the Intervals Constrained Petri Nets (ICPN) tool which allows the system to preserve its quality specificities. The redundancy of the robustness of the elementary parameters between passive and active is also used. The final model built allows the correlation of temporal and non temporal criteria by putting two paramount models in interaction. To do so, a set of definitions and theorems are employed and affirmed by applicator examples.
", keywords = "Manufacturing systems control, flow, quality, robustness, redundancy, Petri Nets.", volume = "2", number = "1", pages = "34-9", }
