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Localization Based on State Tree Structures

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Book cover Supervisor Localization

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 459))

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Abstract

In this chapter, we study supervisor localization in a (dual) state-based setup, the state tree structures, which is known to be computationally efficient for monolithic supervisor synthesis. The efficiency is a result of modeling the state set hierarchically as a state tree which is then encoded by binary decision diagrams. First, we present preliminaries of the state tree structures and the state-based supervisory control. Then we develop a state tree structures based localization theory, and design a symbolic localization algorithm which is more efficient than the one in Chap. 2. This algorithm is demonstrated with a large-scale Cluster Tool system with state size of order \(10^{11}\).

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Notes

  1. 1.

    The case where the agents may share events follows easily from the development in Sect. 6.3 below, and may be addressed as in Sect. 3.1.

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Correspondence to Kai Cai .

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© 2016 Springer International Publishing Switzerland

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Cai, K., Wonham, W.M. (2016). Localization Based on State Tree Structures. In: Supervisor Localization. Lecture Notes in Control and Information Sciences, vol 459. Springer, Cham. https://doi.org/10.1007/978-3-319-20496-3_6

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  • DOI: https://doi.org/10.1007/978-3-319-20496-3_6

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-20495-6

  • Online ISBN: 978-3-319-20496-3

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