Abstract
In this chapter, we extend supervisor localization to timed discrete-event systems. First, we introduce the basics of supervisory control of timed discrete-event systems. A unique feature is that the control action includes not only the disabling of controllable events, but also the use of forcible events to preempt the tick of the clock in order to satisfy temporal specifications. Then we develop timed localization theory, by which a supervisor is decomposed into a set of local controllers, with respect to disabling action, as well as another set of local preemptors, with respect to preemptive action. These local controllers and preemptors collectively achieve globally optimal and nonblocking behavior in timed discrete-event systems. Finally, timed localization is illustrated on a manufacturing cell example with a temporal specification imposed on the operations.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Notes
- 1.
An upper bound for the state size |Q| is \(|A| * \prod \limits _{\sigma \in \Sigma _{act}} t_{\sigma 0}\) (here \(\prod \) denotes scalar multiplication), which in practice can be much larger than its untimed counterpart |A|.
- 2.
In general, to compose two TDES, an operator called “composition” should be used such that temporal deadlock (‘stopping the clock’) does not arise [BW94], [Won14b, Sect. 9.6]. When the two TDES do not have shared events (like MACH1 and MACH2), however, composition is equivalent to synchronous product.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2016 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Cai, K., Wonham, W.M. (2016). Localization of Timed Discrete-Event 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_7
Download citation
DOI: https://doi.org/10.1007/978-3-319-20496-3_7
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-20495-6
Online ISBN: 978-3-319-20496-3
eBook Packages: EngineeringEngineering (R0)