Fabian, Martin

Fokkink, Wan

Goorden, Martijn

Reniers, Michel

Rooda, Koos

van de Mortel - Fronczak, Asia

English

Pure OAI Repository

 Compositional coordinator synthesis for discrete eventsystemsCitation for published version (APA):Goorden, M., Fabian, M., Reniers, M., van de Mortel - Fronczak, A., Fokkink, W., & Rooda, K. (2019).Compositional coordinator synthesis for discrete event systems. 91. Abstract from 38th Benelux Meeting onSystems and Control 2019, Lommel, Belgium.Document status and date:Published: 01/01/2019Document Version:Accepted manuscript including changes made at the peer-review stagePlease check the document version of this publication:• A submitted manuscript is the version of the article upon submission and before peer-review. There can beimportant differences between the submitted version and the official published version of record. Peopleinterested in the research are advised to contact the author for the final version of the publication, or visit theDOI to the publisher's website.• The final author version and the galley proof are versions of the publication after peer review.• The final published version features the final layout of the paper including the volume, issue and pagenumbers.Link to publicationGeneral rightsCopyright and moral rights for the publications made accessible in the public portal are retained by the authors and/or other copyright ownersand it is a condition of accessing publications that users recognise and abide by the legal requirements associated with these rights.            • Users may download and print one copy of any publication from the public portal for the purpose of private study or research.            • You may not further distribute the material or use it for any profit-making activity or commercial gain            • You may freely distribute the URL identifying the publication in the public portal.If the publication is distributed under the terms of Article 25fa of the Dutch Copyright Act, indicated by the “Taverne” license above, pleasefollow below link for the End User Agreement:www.tue.nl/taverneTake down policyIf you believe that this document breaches copyright please contact us at:openaccess@tue.nlproviding details and we will investigate your claim.Download date: 16. Nov. 2023Compositional coordinator synthesis for discrete event systemsM.A. GoordenEindhoven University of TechnologyThe NetherlandsEmail: m.a.goorden@tue.nlM. FabianChalmers University of TechnologySwedenM.A. ReniersTU/eThe NetherlandsJ.M. van de Mortel-FronczakTU/eThe NetherlandsW.J. FokkinkVrije UniversiteitThe NetherlandsJ.E. RoodaTU/eThe Netherlands1 IntroductionThe development complexity of high-tech systems has in-creased due to increasing market demand for verified safety,shorter time-to-market, and better performance. Model-based systems engineering approaches provide advantagesfor supervisory controller design. We consider discrete-event systems modeled by extended finite automata (EFAs)for which supervisory controllers need to be developed. Thesupervisory control theory of Ramadge-Wonham providesan approach to synthesize supervisors such that the con-trolled behavior of the system is restricted to specified be-havior [1].One of the major drawbacks of synthesizing supervisorycontrollers is the state-space explosion problem. There ex-ist multiple attempts to overcome the computational diffi-culties. Among them, several divide-and-conquer strategiescan be found, such as modular, hierarchical, decentralized,and multilevel supervisor architectures.A set of supervisors, for example obtained with modular su-pervisory control synthesis, may be conflicting, which givesrise to global blocking of the system. Therefore, a nonblock-ing verification should be performed on the set of supervi-sors. In case a conflict is identified, a so-called coordinatorneeds to be synthesized. The current approach in the litera-ture still suffers from the state-space explosion problem [2].2 ResultFigure 1 shows our approach to efficiently synthesize a co-ordinator. It utilizes compositional nonblocking verificationof [3]. The key idea of our compositional approach is toSet ofEFAsNormalizedsystem· · · Singleautomaton(non)blockingCoordinator′′ Coordinator′ · · · Coordinatornormalize abstract1 abstractn verifysynthesizerefinenrefine1denormalizecoordinateFigure 1: The top row represents the compositional nonblocking verification of [3]. In this work, we propose the addition of the bottom row:synthesize a coordinator based on the single, simplified automaton and then refine this coordinator back to the original system.reduce the state space to the essence of the blocking issue.The approach works as follows: first a sequence of abstrac-tions is deployed to rewrite and simplify the EFA-based sys-tem models into a single one while maintaining the non-blocking property, then a coordinator is synthesized for thesingle automaton model, and finally this coordinator is re-fined to let it control the original system. The approach en-sures that the closed-loop behavior of the refined coordina-tor and the original system is the same as the closed-loopbehavior of a coordinator obtained with monolithic synthe-sis.We have proven for ten different abstractions (in combina-tion with their refinements) that they are coordinator equiv-alent, allowing them to be used in this compositional ap-proach. Examples of these abstractions are partial composi-tion, variable unfolding, and event merging.AcknowledgementThis work is supported by Rijkswaterstaat, part of the Min-istry of Infrastructure and Water Management of the Gov-ernment of The Netherlands.References[1] P.J.G. Ramadge and W.M. Wonham, “Supervisory Control of aClass of Discrete Event Processes,” SIAM Journal on Control and Opti-mization, Vol. 25, 1, 206–230, 1987.[2] R. Su and J.H. van Schuppen and J.E. Rooda, “Synthesize non-blocking distributed supervisors with coordinators,” 17th MediterraneanConference on Control and Automation, 1108–1113, 2009.[3] S. Mohajerani and R. Malik and M. Fabian, “A framework for com-positional nonblocking verification of extended finite-state machines,” Dis-crete Event Dynamic Systems, Vol. 26, 1, 33–84, 2016.

Compositional coordinator synthesis for discrete event systems

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Compositional coordinator synthesis for discrete event systems

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