IEICE TRANSACTIONS on Fundamentals
Feedback Control Synthesis for a Class of Controlled Petri Nets with Time Constraints
Summary :
In this paper a cyclic place-timed controlled marked graph (PTCMG), which is an extended class of a cyclic controlled marked graph (CMG), is presented as a model of discrete event systems (DESs). In a PTCMG, time constraints are attached to places instead of transitions. The time required for a marked place to be marked again is represented in terms of time constraints attached to places. The times required for an unmarked place to be marked under various controls, are calculated. The necessary and sufficient condition for a current marking to be in the admissible marking set with respect to the given forbidden condition is provided, as is the necessary and sufficient condition for a current marking to be out of the admissible marking set with respect to the forbidden condition in one transition. A maximally permissive state feedback control is synthesized in a PTCMG to guarantee a larger admissible marking set than a CMG for most forbidden state problems. Practical applications are illustrated for a railroad crossing problem and an automated guided vehicle (AGV) coordination problem in a flexible manufacturing facility.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E80-A No.6 pp.1116-1126
- Publication Date
- 1997/06/25
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- Category
- Systems and Control
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Hyeok Gi PARK, Hong-ju MOON, Wook Hyun KWON, "Feedback Control Synthesis for a Class of Controlled Petri Nets with Time Constraints" in IEICE TRANSACTIONS on Fundamentals,
vol. E80-A, no. 6, pp. 1116-1126, June 1997, doi: .
Abstract: In this paper a cyclic place-timed controlled marked graph (PTCMG), which is an extended class of a cyclic controlled marked graph (CMG), is presented as a model of discrete event systems (DESs). In a PTCMG, time constraints are attached to places instead of transitions. The time required for a marked place to be marked again is represented in terms of time constraints attached to places. The times required for an unmarked place to be marked under various controls, are calculated. The necessary and sufficient condition for a current marking to be in the admissible marking set with respect to the given forbidden condition is provided, as is the necessary and sufficient condition for a current marking to be out of the admissible marking set with respect to the forbidden condition in one transition. A maximally permissive state feedback control is synthesized in a PTCMG to guarantee a larger admissible marking set than a CMG for most forbidden state problems. Practical applications are illustrated for a railroad crossing problem and an automated guided vehicle (AGV) coordination problem in a flexible manufacturing facility.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e80-a_6_1116/_p
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@ARTICLE{e80-a_6_1116,
author={Hyeok Gi PARK, Hong-ju MOON, Wook Hyun KWON, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Feedback Control Synthesis for a Class of Controlled Petri Nets with Time Constraints},
year={1997},
volume={E80-A},
number={6},
pages={1116-1126},
abstract={In this paper a cyclic place-timed controlled marked graph (PTCMG), which is an extended class of a cyclic controlled marked graph (CMG), is presented as a model of discrete event systems (DESs). In a PTCMG, time constraints are attached to places instead of transitions. The time required for a marked place to be marked again is represented in terms of time constraints attached to places. The times required for an unmarked place to be marked under various controls, are calculated. The necessary and sufficient condition for a current marking to be in the admissible marking set with respect to the given forbidden condition is provided, as is the necessary and sufficient condition for a current marking to be out of the admissible marking set with respect to the forbidden condition in one transition. A maximally permissive state feedback control is synthesized in a PTCMG to guarantee a larger admissible marking set than a CMG for most forbidden state problems. Practical applications are illustrated for a railroad crossing problem and an automated guided vehicle (AGV) coordination problem in a flexible manufacturing facility.},
keywords={},
doi={},
ISSN={},
month={June},}
Copy
TY - JOUR
TI - Feedback Control Synthesis for a Class of Controlled Petri Nets with Time Constraints
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1116
EP - 1126
AU - Hyeok Gi PARK
AU - Hong-ju MOON
AU - Wook Hyun KWON
PY - 1997
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E80-A
IS - 6
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - June 1997
AB - In this paper a cyclic place-timed controlled marked graph (PTCMG), which is an extended class of a cyclic controlled marked graph (CMG), is presented as a model of discrete event systems (DESs). In a PTCMG, time constraints are attached to places instead of transitions. The time required for a marked place to be marked again is represented in terms of time constraints attached to places. The times required for an unmarked place to be marked under various controls, are calculated. The necessary and sufficient condition for a current marking to be in the admissible marking set with respect to the given forbidden condition is provided, as is the necessary and sufficient condition for a current marking to be out of the admissible marking set with respect to the forbidden condition in one transition. A maximally permissive state feedback control is synthesized in a PTCMG to guarantee a larger admissible marking set than a CMG for most forbidden state problems. Practical applications are illustrated for a railroad crossing problem and an automated guided vehicle (AGV) coordination problem in a flexible manufacturing facility.
ER -
English
