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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Markovski, J. |
| Copyright Year | 2011 |
| Abstract | We propose a model-based systems engineering framework for supervisory control of stochastic discrete-event systems with unrestricted nondeterminism. We intend to develop the proposed framework in four phases outlined in this paper. Here, we study in detail the first step which comprises investigation of the underlying model and development of a corresponding notion of controllability. The model of choice is termed Interactive Markov Chains, which is a natural semantic model for stochastic variants of process calculi and Petri nets, and it requires a process-theoretic treatment of supervisory control theory. To this end, we define a new behavioral preorder, termed Markovian partial bisimulation, that captures the notion of controllability while preserving correct stochastic behavior. We provide a sound and ground-complete axiomatic characterization of the preorder and, based on it, we define two notions of controllability. The first notion conforms to the traditional way of reasoning about supervision and control requirements, whereas in the second proposal we abstract from the stochastic behavior of the system. For the latter, we intend to separate the concerns regarding synthesis of an optimal supervisor. The control requirements cater only for controllability, whereas we ensure that the stochastic behavior of the supervised plant meets the performance specification by extracting directive optimal supervisors. |
| Starting Page | 108 |
| Ending Page | 117 |
| File Size | 363941 |
| Page Count | 10 |
| File Format | |
| ISBN | 9781612849744 |
| ISSN | 15504808 |
| DOI | 10.1109/ACSD.2011.18 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 2011-06-20 |
| Publisher Place | UK |
| Access Restriction | Subscribed |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Delay Modeling Synchronization Markov processes Controllability Supervisory control discrete-event systems supervisory control formal languages analytical models |
| Content Type | Text |
| Resource Type | Article |
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