On the Synthesis of Optimal Schedulers in Discrete Event Control Problems with Multiple Goals - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles SIAM Journal on Control and Optimization Year : 2000

On the Synthesis of Optimal Schedulers in Discrete Event Control Problems with Multiple Goals

Abstract

This paper deals with a new type of optimal control for Discrete Event Systems. Our control problem extends the theory of [sengupta98], that is characterized by the presence of uncontrollable events, the notion of occurrence and control costs for events, and a worst-case objective function. A significant difference with [sengupta98] is that our aim is to make the system evolve through a set of multiple goals, one by one, with no order necessarily pre-specified, whereas the previous theory only deals with a single goal. Our solution approach is divided into two steps. In the first step, we use the optimal control theory in [sengupta98] to synthesize individual controllers for each goal. In the second step, we develop the solution of another optimal control problem, namely, how to modify if necessary and piece together, or schedule, all of the controllers built in the first step in order to visit each of the goals with least total cost. We solve this problem by defining the notion of a scheduler and then by mapping the problem of finding an optimal scheduler to an instance of the well-known Traveling Salesman Problem (TSP). We finally suggest various strategies to reduce the complexity of the TSP resolution while still preserving global optimality
Fichier principal
Vignette du fichier
2000-SICON.pdf (271.43 Ko) Télécharger le fichier
Origin : Publisher files allowed on an open archive
Loading...

Dates and versions

inria-00584875 , version 1 (11-04-2011)

Identifiers

Cite

Hervé Marchand, Olivier Boivineau, Stéphane Lafortune. On the Synthesis of Optimal Schedulers in Discrete Event Control Problems with Multiple Goals. SIAM Journal on Control and Optimization, 2000, 39 (2), pp.512-532. ⟨10.1137/S0363012998341964⟩. ⟨inria-00584875⟩
95 View
145 Download

Altmetric

Share

Gmail Facebook X LinkedIn More