New PDF release: Discrete Event Systems: Analysis and Control

By Felisa J. Vázquez-Abad (auth.), R. Boel, G. Stremersch (eds.)

Discrete occasion structures: research and Control is the court cases of WODES2000 (the fifth Workshop on Discrete occasion structures, held in Ghent, Belgium, on August 21-23, 2000). This ebook offers a survey of the present cutting-edge within the box of modeling, research and keep an eye on synthesis of discrete occasion structures, lecture notes for a mini path on sensitivity research for functionality overview of timed discrete occasion structures, and forty eight conscientiously chosen papers protecting all parts of discrete occasion thought and an important functions domain names. themes comprise automata concept and supervisory keep an eye on (12); Petri internet dependent versions for discrete occasion platforms, and their keep an eye on synthesis (11); (max,+) and timed automata types (9); purposes papers with regards to scheduling, failure detection, and implementation of supervisory controllers (7); formal description of PLCs (6); and eventually, stochastic versions of discrete occasion structures (3).

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At the matrix level the new automaton is described by matrix QT = QT + LhEH Qh and matrices QI for all I E Lc \ H. ~-h, A 2 , ... , ANand a set of synchronization labels LS' ~ Lc we define the synchronized automaton A = A1IA21 ... IAN as (x);:'18i,~, (86,86 .... , sill, U;~lV). The number of states in Si is denoted as n', so X;~l Si includes TI;;:'l ni states. e. neither Ai nor Aj is able to perform I E LS independently of the other after synchronization. Define PS = {O, .... TIi~l ni - I} as the set of potentially reachable states.

T 0 a paIr . WIt I e x (y,k), -+ x, b ut were events are sp l·t I III (y, k) : component y, still called here the event is furnished by the environment of the system, and k is the response of the system. 1. the polynomial Q(X, Y, K) ~f 3X',(X, Y, K, X'). 46 DISCRETE EVENT SYSTEMS: ANALYSIS AND CONTROL Given an open ILTS 8, we shall consider restriction specifications, also called "control objectives" in (Marchand and Le Borgne, 1999) that are of two following sorts : 1 the acceptable behaviors of the system are such that all encountered states belong to a given set E ; we call this restriction specification "the invariance of E"; 2 the acceptable behaviors of the system are such that along any execution, it is always possible to reach a given set of states E ; we call this restriction specification "the global reachability of E" .

The aim of the present paper is to apply coalgebraic reasoning to some problems regarding the supervisory control of discrete event systems, as introduced by Ramadge and Wonham [RWS9, WRS7, Won99]. In their approach, discrete event systems are deterministic automata (over some set of events) that are partial in the sense that in a state of the automaton, not all events need to be enabled. So in the sequel we shall use partial automaton (or simply automaton) and discrete event system as synonyms.

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