A Uniform Approach for Synthesizing Property-Enforcing Supervisors for Partially-Observed Discrete-Event Systems
Xiang Yin, Stephane Lafortune

Citation
Xiang Yin, Stephane Lafortune. "A Uniform Approach for Synthesizing Property-Enforcing Supervisors for Partially-Observed Discrete-Event Systems". IEEE Transactions on Automatic Control, October 2015.

Abstract
The problem under consideration in this paper is that of enforcement by supervisory control of a given property on a partially-observed discrete-event system. We present a general methodology that is applicable to a large class of properties previously studied (individually) in the literature. These properties include, but are not restricted to, safety, diagnosability, opacity, detectability, anonymity and attractability. When the given system does not satisfy the considered property, the objective is to synthesize a supervisor that restricts the system's behavior and provably enforces the given property; moreover, it is required that this supervisor be maximally permissive. We consider the general case where the system's events are partitioned into observable and unobservable events, and controllable and uncontrollable events, and we do not make any assumptions about these two partitions; in particular, we do not assume that all controllable events are observable. Our uniform approach first maps the considered property to a suitably-defined information state for the partially-observed system and then develops a supervisor synthesis methodology based on a finite bipartite transition system that embeds all reachable information states and all admissible supervisory control strategies. This transition system is called the All Enforcement Structure (or AES). We present an algorithm for the construction of the AES and discuss its properties. Then we use the AES to develop a synthesis algorithm that constructs a supervisor that is provably property enforcing and maximally permissive. We illustrate the application of our uniform approach to the enforcement of the above-mentioned properties.

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  • HTML
    Xiang Yin, Stephane Lafortune. <a
    href="http://www.terraswarm.org/pubs/597.html"
    >A Uniform Approach for Synthesizing Property-Enforcing
    Supervisors for Partially-Observed Discrete-Event
    Systems</a>, <i>IEEE Transactions on Automatic
    Control</i>, October 2015.
  • Plain text
    Xiang Yin, Stephane Lafortune. "A Uniform Approach for
    Synthesizing Property-Enforcing Supervisors for
    Partially-Observed Discrete-Event Systems".
    <i>IEEE Transactions on Automatic Control</i>,
    October 2015.
  • BibTeX
    @article{YinLafortune15_UniformApproachForSynthesizingPropertyEnforcingSupervisors,
        author = {Xiang Yin and Stephane Lafortune},
        title = {A Uniform Approach for Synthesizing
                  Property-Enforcing Supervisors for
                  Partially-Observed Discrete-Event Systems},
        journal = {IEEE Transactions on Automatic Control},
        number = {99},
        month = {October},
        year = {2015},
        abstract = {The problem under consideration in this paper is
                  that of enforcement by supervisory control of a
                  given property on a partially-observed
                  discrete-event system. We present a general
                  methodology that is applicable to a large class of
                  properties previously studied (individually) in
                  the literature. These properties include, but are
                  not restricted to, safety, diagnosability,
                  opacity, detectability, anonymity and
                  attractability. When the given system does not
                  satisfy the considered property, the objective is
                  to synthesize a supervisor that restricts the
                  system's behavior and provably enforces the given
                  property; moreover, it is required that this
                  supervisor be maximally permissive. We consider
                  the general case where the system's events are
                  partitioned into observable and unobservable
                  events, and controllable and uncontrollable
                  events, and we do not make any assumptions about
                  these two partitions; in particular, we do not
                  assume that all controllable events are
                  observable. Our uniform approach first maps the
                  considered property to a suitably-defined
                  information state for the partially-observed
                  system and then develops a supervisor synthesis
                  methodology based on a finite bipartite transition
                  system that embeds all reachable information
                  states and all admissible supervisory control
                  strategies. This transition system is called the
                  All Enforcement Structure (or AES). We present an
                  algorithm for the construction of the AES and
                  discuss its properties. Then we use the AES to
                  develop a synthesis algorithm that constructs a
                  supervisor that is provably property enforcing and
                  maximally permissive. We illustrate the
                  application of our uniform approach to the
                  enforcement of the above-mentioned properties.},
        URL = {http://terraswarm.org/pubs/597.html}
    }
    

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