NDLI: An Optimal Control Theory for Discrete Event Systems

Content Provider	Society for Industrial and Applied Mathematics (SIAM)
Author	Lafortune, Stphane Sengupta, Raja
Copyright Year	1998
Abstract	In certain discrete event applications it may be desirable to find a particular controller, within the set of acceptable controllers, which optimizes some quantitative performance measure. In this paper we propose a theory of optimal control to meet such design requirements for deterministic systems. The discrete event system (DES) is modeled by a formal language. Event and cost functions are defined which induce costs on controlled system behavior. The event costs associated with the system behavior can be reduced, in general, only by increasing the control costs. Thus it is nontrivial to find the optimal amount of control to use, and the formulation captures the fundamental tradeoff motivating classical optimal control. Results on the existence of minimally restrictive optimal solutions are presented. Communication protocols are analyzed to motivate the formulation and demonstrate optimal controller synthesis. Algorithms for the computation of optimal controllers are developed for the special case of DES modeled by regular languages. It is shown that this framework generalizes some of the existing literature.
Starting Page	488
Ending Page	541
Page Count	54
File Format	PDF
ISSN	03630129
DOI	10.1137/S0363012994260957
e-ISSN	10957138
Issue Number	2
Volume Number	36
Language	English
Publisher	Society for Industrial and Applied Mathematics
Publisher Date	2006-07-26
Access Restriction	Subscribed
Subject Keyword	Calculus of variations and optimal control; optimization discrete event systems regular languages dynamic programming optimal control Combinatorial optimization
Content Type	Text
Resource Type	Article
Subject	Control and Optimization Applied Mathematics

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