### Abstract

We define a controllability-preserving plant minimization and investigate its feasibility with respect to supervisor synthesis. A recent process-theoretic approach to supervisory control theory identified a so-called partial bisimulation preorder as a suitable behavioral relation to capture the notion of controllability for (nondeterministic) discrete-event systems. The equivalence relation, induced by the partial bisimulation preorder, can then be employed to minimize the unsupervised system, referred to as plant, by obtaining the coarsest quotient and optimize the process of supervisor synthesis. We present an efficient minimization algorithm for computing the partial bisimulation equivalence by partitioning the state space of the plant. We apply the algorithm to several experimental case studies and study the obtained gain.

Original language | English |
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Title of host publication | Proceedings of the 11th IFAC/IEEE Workshop on Discrete Event Systems ( WODES 2012), October 1 - 3, 2012, Guadalajara, Jalisco, Mexico , |

Place of Publication | Pergamon |

Publisher | IFAC |

Pages | 251-258 |

DOIs | |

Publication status | Published - 2012 |

Event | 11th International Workshop on Discrete Event Systems (WODES 2012) - Hotel De Mendoza, Guadalajara, Mexico Duration: 1 Oct 2012 → 5 Oct 2012 Conference number: 11 http://www.gdl.cinvestav.mx/wodes-12/ |

### Conference

Conference | 11th International Workshop on Discrete Event Systems (WODES 2012) |
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Abbreviated title | WODES 2012 |

Country | Mexico |

City | Guadalajara |

Period | 1/10/12 → 5/10/12 |

Internet address |

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## Cite this

Markovski, J. (2012). Coarsest controllability-preserving plant minimization. In

*Proceedings of the 11th IFAC/IEEE Workshop on Discrete Event Systems ( WODES 2012), October 1 - 3, 2012, Guadalajara, Jalisco, Mexico ,*(pp. 251-258). Pergamon: IFAC. https://doi.org/10.3182/20121003-3-MX-4033.00042