Supervisory control of time-interval discrete event systems

Since the timed supervisory control framework was proposed, it has been adopted in many subsequent developments in various areas. Yet, the mechanism of explicitly enumerating time in terms of sequences of ticks significantly increases the number of states, causing major computational challenges i...

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मुख्य लेखकों: Brandin, Bertil, Su, Rong, Lin, Liyong
अन्य लेखक: School of Electrical and Electronic Engineering
स्वरूप: Journal Article
भाषा:English
प्रकाशित: 2021
विषय:
ऑनलाइन पहुंच:https://hdl.handle.net/10356/152247
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author Brandin, Bertil
Su, Rong
Lin, Liyong
author2 School of Electrical and Electronic Engineering
author_facet School of Electrical and Electronic Engineering
Brandin, Bertil
Su, Rong
Lin, Liyong
author_sort Brandin, Bertil
collection NTU
description Since the timed supervisory control framework was proposed, it has been adopted in many subsequent developments in various areas. Yet, the mechanism of explicitly enumerating time in terms of sequences of ticks significantly increases the number of states, causing major computational challenges in supervisor synthesis. To overcome this challenge, in this work we develop a theory of supervisory control of time-interval discrete event systems, whereby intervals are used to compactly encode sequences of ticks. By introducing the concepts of free and coercive (interval) languages, we are able to describe the impact of event forcing (i.e., time preemption) in a resulting time-interval language, upon which we introduce controllability property. It turns out that coercive languages are not closed under union, in contrast to free languages. The supremal controllable coercive language for a given time-interval plant and time-interval requirement exists, which can be computed by a synthesis algorithm presented in this paper.
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spelling ntu-10356/1522472021-08-16T06:42:05Z Supervisory control of time-interval discrete event systems Brandin, Bertil Su, Rong Lin, Liyong School of Electrical and Electronic Engineering IFAC-PapersOnLine Engineering::Electrical and electronic engineering Interval Automata Event Forcing Timed Controllability Since the timed supervisory control framework was proposed, it has been adopted in many subsequent developments in various areas. Yet, the mechanism of explicitly enumerating time in terms of sequences of ticks significantly increases the number of states, causing major computational challenges in supervisor synthesis. To overcome this challenge, in this work we develop a theory of supervisory control of time-interval discrete event systems, whereby intervals are used to compactly encode sequences of ticks. By introducing the concepts of free and coercive (interval) languages, we are able to describe the impact of event forcing (i.e., time preemption) in a resulting time-interval language, upon which we introduce controllability property. It turns out that coercive languages are not closed under union, in contrast to free languages. The supremal controllable coercive language for a given time-interval plant and time-interval requirement exists, which can be computed by a synthesis algorithm presented in this paper. Ministry of Education (MOE) National Research Foundation (NRF) Published version This work is financially supported by Singapore Ministry of Education Tier 1 Academic Research Grant (2018-T1-001-245 (RG91/18)) and the National Research Foundation of Singapore Delta-NTU Corporate Lab Program with the project reference of DELTA-NTU CORP-SMA-RP2, which is gratefully acknowledged. 2021-08-16T06:34:38Z 2021-08-16T06:34:38Z 2021 Journal Article Brandin, B., Su, R. & Lin, L. (2021). Supervisory control of time-interval discrete event systems. IFAC-PapersOnLine, 53(4), 217-222. https://dx.doi.org/10.1016/j.ifacol.2021.04.022 2405-8963 https://hdl.handle.net/10356/152247 10.1016/j.ifacol.2021.04.022 4 53 217 222 en 2018-T1-001-245 (RG91/18) DELTA-NTU CORP-SMA-RP2 IFAC-PapersOnLine © 2020 The Authors. This is an open access article under the CC-BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0). application/pdf
spellingShingle Engineering::Electrical and electronic engineering
Interval Automata
Event Forcing
Timed Controllability
Brandin, Bertil
Su, Rong
Lin, Liyong
Supervisory control of time-interval discrete event systems
title Supervisory control of time-interval discrete event systems
title_full Supervisory control of time-interval discrete event systems
title_fullStr Supervisory control of time-interval discrete event systems
title_full_unstemmed Supervisory control of time-interval discrete event systems
title_short Supervisory control of time-interval discrete event systems
title_sort supervisory control of time interval discrete event systems
topic Engineering::Electrical and electronic engineering
Interval Automata
Event Forcing
Timed Controllability
url https://hdl.handle.net/10356/152247
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AT surong supervisorycontroloftimeintervaldiscreteeventsystems
AT linliyong supervisorycontroloftimeintervaldiscreteeventsystems