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Discussion on: Supervisory control of discrete event systems with flexible marking

Spathopoulos, M.P. and Komenda, J. (2004) Discussion on: Supervisory control of discrete event systems with flexible marking. European Journal of Control, 10 (1). pp. 61-64. ISSN 0947-3580

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This paper proposes a new class of Discrete Event Systems endowed with control called DES with flexible marking (DESFM). The DESFM is modeled by a language and a control structure. The language contains all the strings of events that the system can generate. The control structure is a function that associates a set of controls to each string generated by the system. A control encapsulates information of event-enabling and marking for the string. The model is shown to be suitable for systems with abstraction for hierarchical control. The condition for existence of a supervisor and the synthesis of an optimal supervisory control scheme, in the sense of maximal permissiveness, are given. An illustrative example where the DESFM is naturally applied is presented.