Optimal Multiperiodic Control for Inventory Coupled Systems: A Multifrequency Second-Order Test

Marek Skowron,Krystyn Styczeń

doi:10.4236/ojop.2016.53011

Abstract

A complex autonomous inventory coupled system is considered. It can take, for example, the form of a network of chemical or biochemical reactors, where the inventory interactions perform the recycling of by-products between the subsystems. Because of the flexible subsystems interactions, each of them can be operated with their own periods utilizing advantageously their dynamic properties. A multifrequency second-order test generalizing the p-test for single systems is described. It can be used to decide which kind of the operation (the static one, the periodic one or the multiperiodic one) will intensify the productivity of a complex system. An illustrative example of the multiperiodic optimization of a complex chemical production system is presented.

Highlights

We consider complex autonomous inventory coupled (IC) systems
We develop a multifrequency secondorder test, which can be used to ensure the best intensification of the productivity of IC
We formulated the optimal multiperiodic control problem for inventory constrained subsystems. It is aimed at the intensification of the productivity of complex processes

Summary

Introduction

We consider complex autonomous inventory coupled (IC) systems Such systems can take, for example, the form of a network of chemical or biochemical networks, where the inventory interactions perform the recycling of by-products or by-streams from some subsystems to other subsystems as their input components or energy carriers [1]. Because of the flexible interactions of the subsystems, each of them can be operated with their own period utilizing advantageously its dynamic properties. In this context, we formulate the multiperiodic optimal control problem, which generalizes the periodic control approach finding much attention for the optimization of chemical and bio-. Eτ f (t ) is the average value of a τ-periodic function f (t )

Optimal Multiperiodic Control Problem

The Multifrequency Second-Order Test for Complex Systems

Example

Conclusion