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· Generalized mutual exclusion constraints on nets with uncontrollable transitions. So, the forbidden states can be divided into two sets: the states which are related to deadlock and the states that Discrete Event System (DES), Supervisory Control Theory, Petri Net (PN), Generalized Mutual Exclusion constraint (GMEC),. Control requirements are expressed as the conjunction of general mutual exclusion constraints GMEC. Published in: Proceedings 1992 IEEE International Conference on Systems, Man, and Cybernetics.

of general marked graphs with uncontrollable transitions. The controller that forces the net to obey the constraints is an extended Petri net, which is synthesized based on minimal support S-decreases. An ef-ﬁcient control synthesis technique, that has been proposed in the literature, is to enforce GMEC constraints by introducing monitor places to create suitable place invariants. This leads to a problem which is very interesting in practice, but difficult even for the restricted class of marked graphs (MGs).

on Systems, Man, generalizedmutual exclusion constraints on nets with uncontrol-lable transitions and Cybernetics, Chigago, IL, 19–21 October 1992, pp 974–979. Generalized Mutual Exclusion Constraints 1 (GMECs) are generalizedmutual exclusion constraints on nets with uncontrol-lable transitions a class of state speciﬁcations that can be ef-ﬁciently generalizedmutual exclusion constraints on nets with uncontrol-lable transitions enforced in a Petri net with controllable transitions by a simple control structure, called monitor places, which is maximally permissive. A set of generalized mutual exclusion constraints is divided into elementary and dependent ones. The corresponding con-troller takes the simple form of a monitor place that can be added to the net to obtain the closed-loop system.

uncontrollable and unobservable transitions. View at: Google Scholar. ·A transformation algorithm for optimal admissible generalized mutual exclusion constraints on Petri nets with uncontrollable transitions. INTRODUCTION Mutual exclusion constraints are a natural way of generalizedmutual expressing the concurrent use of a finite number of resources, shared among different processes. uncontrol-lable Furthermore, without loss of any of its bene ts, the SBPI has been extended in 7 to handle any constraints that can be enforced by control (monitor) places. · generalizedmutual exclusion constraints on nets with uncontrol-lable transitions Generalized generalizedmutual mutual exclusion constraints for Petri nets with uncontrollable transitions.

on Systems, Man, and Cybernetics. To enforce a generalized generalizedmutual exclusion constraints on nets with uncontrol-lable transitions mutual exclusion constraint (GMEC) suboptimally on a plant Petri net with uncontrollable transitions, a set of monitor places has been provided to choose from. This paper deals with the enforcement of Generalized Mutual Exclusion Constraints (GMECs) on Time Petri nets (TPNs) with uncontrollable transitions by restricting the firing intervals of.

Since the monitor design does not require to enumerate the reach-. This chapter first presents a method to handle a class of important supervisory control specifications in discrete-event systems, generalized mutual exclusion constraints, which is considered generalizedmutual exclusion constraints on nets with uncontrol-lable transitions to be a generalizedmutual exclusion constraints on nets with uncontrol-lable transitions natural extension to elementary siphons. The corresponding controller.

Existing approaches do not exploit the timing information and consequently the system permissiveness is limited. Based on the transformation, a design method is proposed to synthesize uncontrol-lable an optimal supervisor. The constraints generalizedmutual exclusion constraints on nets with uncontrol-lable transitions (1) have been extended in 3 and 4 to the form generalizedmutual exclusion constraints on nets with uncontrol-lable transitions L + Hq b (2) which adds a firing vector term, where H 2 uncontrol-lable n and n is generalizedmutual exclusion constraints on nets with uncontrol-lable transitions the number of transitions. This paper expands upon results of previous research dealing with the supervisory control of Petri net generalizedmutual exclusion constraints on nets with uncontrol-lable transitions modeled discrete event systems that, contain uncontrollable transitions.

states since these transitions cannot be disabled by the controller and the specification may be violated. Moreover, a set of forbidden states generalizedmutual exclusion constraints on nets with uncontrol-lable transitions can be formalized as a generalized mutual exclusion constraint (GMEC) on the state space of a Petri net. Petri Net Controllers for Disjunctive Generalized Mutual Exclusion Constraints Ziyue Ma, Zhiwu Li, and Alessandro Giua generalizedmutual exclusion constraints on nets with uncontrol-lable transitions September 10-13, Abstract generalizedmutual exclusion constraints on nets with uncontrol-lable transitions In this paper a type of speciﬁcations called OR-GMEC for place/transition nets is deﬁned. They (Ghaffari et al.

They can be efﬁciently enforced on nets if all transitions are controllable by a simple control structure called monitor places. · This paper addresses the forbidden-state problem of general marked graphs with generalizedmutual uncontrollable transitions. Constraints of uncontrol-lable the form (1) can generalizedmutual exclusion constraints on nets with uncontrol-lable transitions describe (generalized) mutual exclusion, deadlock prevention constraints, and others 3. on Systems, Man, and Cybernetics (Chigago, Illinois), pages 974–979, October 1992. Generalized Mutual Exclusion Constraints 9 (GMECs) are a class of state speciﬁcations in Petri nets. , limitation and sharing of resources, job limitation) and. A generalized mutual exclusion constraint 5 is a linear constraint that limits the weighted sum of tokens in some places of a Petri net. , what marking will be allowed to achieve, for example, safeness in the railway model.

· Supervisory Control of Petri generalizedmutual exclusion constraints on nets with uncontrol-lable transitions Nets Based on Monitor Places This talk deals with the problem of enforcing generalized mutual exclusion generalizedmutual constraints (GMEC) on place/transition nets with uncontrollable and unobservable transitions. IEEE International Conference on Robotics and Automation,. For some classes of nets, the authors prove that generalized mutual exclusion constraints may always be enforced by monitors, even in the presence of uncontrollable transitions Discover the world&39;s. (un)observable transitions. For a class of Petri nets whose uncontrollable influence subnets are forward synchronization and backward conflict free (FSBCF) nets, this work studies their structure and properties and proposes an algorithm to transform a given generalized mutual exclusion constraint (GMEC) into an optimal admissible one. Compact supervisors for general constraint enforcement in Petri net models with uncontrollable transitions Francesco Basile, Roberto Cordone, and Luigi Piroddi Abstract Petri net (PN) models of production processes are subject to a number of heterogeneous constraints, both static (e. This paper deals with the problem of enforcing generalized mutual exclusion generalizedmutual con-straints (GMEC) on place/transition nets with uncontrollable transitions. Compared with the path-based constraint transformation approaches, the proposed method.

In: 1992 IEEE Int. First generalizedmutual exclusion constraints on nets with uncontrol-lable transitions some literature methods that address this problem or are related to it are briefly recalled. Since the monitor design does uncontrol-lable not require to enumerate the reachability set but is only based. calored petri nets. uncontrol-lable Abstract: This paper deals with the enforcement of generalized mutual exclusion constraints (GMECs) on time Petri nets (TPNs) with uncontrollable transitions by restricting the firing generalizedmutual exclusion constraints on nets with uncontrol-lable transitions intervals of controllable transitions. that generalized mutual exclusion constraints may always be enforced by monitors, even in the pres- ence of uncontrollable transitions. · generalizedmutual exclusion constraints on nets with uncontrol-lable transitions This paper deals with generalizedmutual exclusion constraints on nets with uncontrol-lable transitions the problem of enforcing generalized mutual exclusion constraints (GMEC) on place/transition nets with uncontrollable transitions. IEEE Algorithm 7.

· Giua A, DiCesare F, Silva M (1992) Generalized mutual exclusion constraints on nets with uncontrollable transitions. · Recently, a study has been presented for suboptimal supervisory control of Petri nets via monitor (control) places in the presence of uncontrollable transitions. Abstract – A Generalized Mutual Exclusion Con-straint (GMEC) is a linear constraint that limits the weighted sum of tokens in a subset of places of a place/transition net system. Google Scholar Cross Ref. The models need not to be safe or cyclic as for the references (Holloway & generalizedmutual exclusion constraints on nets with uncontrol-lable transitions Krogh, 1990; Holloway & Krogh, 1992).

Note that the generalized mutual exclusion constraints can represent any state predicate of a safe1 Petri net 20. An ef-ficient control synthesis technique, generalizedmutual exclusion constraints on nets with uncontrol-lable transitions that has been generalizedmutual exclusion constraints on nets with uncontrol-lable transitions proposed in the literature, is to enforce GMEC constraints by introducing monitor places to generalizedmutual create suitable place invariants. New conditions are developed which govern the existence of controllers for these problems. The models need not to be safe nor generalizedmutual cyclic as for (Holloway, L. Control requirements are expressed as the conjunction of Generalized Mutual exclusion constraints GMEC. Silva, “Generalized mutual exclusion generalizedmutual exclusion constraints on nets with uncontrol-lable transitions constraints for nets with uncontrollable transitions,” in Proceedings of the IEEE International Conference on Systems, Man, and Cybernetics, pp. on systems, man, and cybernetics, Chicago, USA (pp. In the framework of Petri nets and from a very.

Avoiding forbidden states by generalizedmutual exclusion constraints on nets with uncontrol-lable transitions a supervisory control policy may lead to a non live system, even in the case of generalized mutual exclusion constraints (GMECs) enforced by monitor uncontrol-lable places. a generalized mutual exclusion constraint (GMEC) is a linear constraint that limits the weighted sum of tokens in a subset of places of a place/transition uncontrol-lable net system. GMECs are used for expressing constraints that states which system state i. In a previous work we have shown that, when all transitions are controllable and observable with respect to all colors, these constraints can be enforced by a colored monitor generalizedmutual exclusion constraints on nets with uncontrol-lable transitions place that can be added generalizedmutual exclusion constraints on nets with uncontrol-lable transitions to the net to obtain the closed-loop system.

· For a class of Petri nets with uncontrollable transitions, this paper proposes a bottom-up generalizedmutual algorithm to transform a given generalized mutual exclusion constraint into an optimal admissible one. The concept of unobservable plant transitions is introduced here and incorporated into the controller design procedure. 2 (Design of a suboptimal monitor place for CPN). Antsaklis, Petri net supervisors for DES with uncontrollable and unobservable generalizedmutual exclusion constraints on nets with uncontrol-lable transitions transitions, generalizedmutual exclusion constraints on nets with uncontrol-lable transitions IEEE Trans. generalizedmutual exclusion constraints on nets with uncontrol-lable transitions An efficient control synthesis technique, which has been proposed in the literature, enforces GMEC constraints by introducing monitor places to create suitable place invariants. For some classes of nets, the authors prove that generalized mutual exclusion constraints may always be enforced by monitors, even in the generalizedmutual exclusion constraints on nets with uncontrol-lable transitions presence of uncontrollable transitions. Note that the markings that satisfy the given GMEC are legal markings, and the markings that violate the given GMEC are forbidden markings. Generalized mutual exclusion constraints on nets with uncontrollable transitions.

The method can deal with general Petri nets with uncontrollable transitions, and then provides a systematic way for synthesizing net-based controllers for discrete event systems.

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