Optimal control of temperature and fuel consumption for soaking pits in a steel plant—a distributed parameter approach

D. R. Yang, F. Y. Wang, K. S. Chang, Won‐Kyoo ‐K Lee

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

An optimal control theory for a class of non‐linear distributed parameter control systems in the general setting involving more than one spatial co‐ordinate is developed for use on control of a typical soaking pit in a steel industry. The system is described by a set of non‐linear partial differential equations in multidimensional spatial co‐ordinates and non‐linear boundary conditions with time‐dependent boundary controls as well as a spatially independent parameter vector which is governed by its own set of dynamic equations. The set of necessary conditions for optimality obtained from the theoretical development is directly applied to the optimal heating control of the soaking pit with rectangular ingots. The numerical solution by iterations demonstrates the success of the technique and the algorithm leading to the optimal policy for heating control of a typical soaking pit with minimum fuel consumption.

Original languageEnglish
Pages (from-to)417-442
Number of pages26
JournalOptimal Control Applications and Methods
Volume9
Issue number4
DOIs
Publication statusPublished - 1988 Jan 1

Keywords

  • Non‐linear distributed parameter control system
  • Optimal control
  • Soaking pit

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Software
  • Control and Optimization
  • Applied Mathematics

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