Abstract
In this chapter, we address the question of how to solve the distributed control problem for large-scale discrete-event systems, where the monolithic supervisor might not be feasibly computable owing to state space explosion. First, we introduce an efficient heterarchical supervisory control synthesis, the key technique of which is model abstraction. Then we propose to combine supervisor localization with the heterarchical synthesis in an alternative top-down strategy: first design a heterarchical array of decentralized supervisors and coordinators that achieves global optimal and nonblocking control, then decompose each of these supervisors/coordinators into local controllers for the relevant component agents. We call this procedure heterarchical supervisor localization, and demonstrate it with the benchmark example of automated guided vehicles serving a manufacturing cell.
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Notes
- 1.
Further state size reduction of the coordinator may be possible by using “efficient coordination” [Won14b, Sect. 6.8], which first creates an abstraction of CO with natural observer (see below) and exit-control-consistency properties, and then applies supervisor reduction to the abstraction.
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© 2016 Springer International Publishing Switzerland
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Cai, K., Wonham, W.M. (2016). Localization for Large-Scale Systems. In: Supervisor Localization. Lecture Notes in Control and Information Sciences, vol 459. Springer, Cham. https://doi.org/10.1007/978-3-319-20496-3_4
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DOI: https://doi.org/10.1007/978-3-319-20496-3_4
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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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