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Comments on "Feedback control logic for forbidden-state problems of marked graphs: application to a real manufacturing system" | IEEE Journals & Magazine | IEEE Xplore

Comments on "Feedback control logic for forbidden-state problems of marked graphs: application to a real manufacturing system"

Publisher: IEEE

Abstract:

In the above paper (A. Ghaffari et al., IEEE Trans. Automat. Contr., vol. 48, pp. 18-29, Jan. 2003) an example was given for which it was claimed that there exists no opt...View more

Abstract:

In the above paper (A. Ghaffari et al., IEEE Trans. Automat. Contr., vol. 48, pp. 18-29, Jan. 2003) an example was given for which it was claimed that there exists no optimal Petri net-based (monitor) controller. It is stated that by using another method it is possible to obtain an optimal PN-based (monitor) controller.
Published in: IEEE Transactions on Automatic Control ( Volume: 49, Issue: 7, July 2004)
Page(s): 1216
Date of Publication: 12 July 2004

ISSN Information:

Publisher: IEEE

In [1], Fig. 1 with the constraint was given inadvertently as an example for which it was claimed that there exists no optimal Petri net (PN)-based (monitor) controller.

Synthesized monitor place (controller) to enforce the constraint control the example PN of [1].

Example PN, which does not admit an optimal PN-based monitor controller for the constraint .

It is true that the method proposed in [2], as cited by [1], fails to provide an optimal PN-based (monitor) controller for the given example. By using another method [3], [4], it is possible to obtain an optimal PN-based (monitor) controller for this problem. The monitor place C1, which enforces the constraint optimally on this net, which can be synthesized by [3] and [4], is shown in Fig. 1. One example [5] for which there exists no optimal PN-based (monitor) controller is the PN as shown in Fig. 2 with the constraint . Another example is the same PN as in [1], Fig. 1, with the constraint as used in [6].

References

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