Event-driven optimal control of continuous Petri nets

2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601) Pub Date : 2004-12-01 DOI:10.1109/CDC.2004.1428608

J. Júlvez, A. Bemporad, L. Recalde, Manuel Silva

引用次数: 19

Abstract

Optimally controlling a hybrid system is a challenging problem for which mainly continuous-time and discrete-time methods have been suggested. In this paper, the problem of optimal control is addressed in the framework of continuous Petri nets, a kind of hybrid systems whose state evolution is piecewise linear. The proposed approach consists of transforming the continuous Petri net into an equivalent hybrid system whose evolution is described by means of discrete-event steps. In particular, each step coincides with the occurrence of an event in the continuous Petri net. Thus, the number of steps required to know the behavior of the Petri net is minimum, while the accuracy is completely preserved. It is shown how to design a mixed integer linear programming problem in order to compute the optimal control solution of different performance criteria.

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连续Petri网的事件驱动最优控制

混合系统的最优控制是一个具有挑战性的问题，目前主要提出了连续时间和离散时间方法。本文研究了连续Petri网框架下的最优控制问题。连续Petri网是一类状态演化为分段线性的混合系统。该方法将连续Petri网转化为一个等效的混合系统，该混合系统的演化过程由离散事件步骤来描述。特别是，每一步都与连续Petri网中一个事件的发生相吻合。因此，了解Petri网的行为所需的步数是最少的，而精度是完全保持的。给出了如何设计一个混合整数线性规划问题，以计算不同性能准则下的最优控制解。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601)

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