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

Dae Ryook Yang, F. Y. Wang, K. S. Chang, Won Kyoo Lee

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

An optimal control theory for a class of nonlinear 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 nonlinear partial differential equations in multidimensional spatial co-ordinates and nonlinear 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
Publication statusPublished - 1988 Oct 1
Externally publishedYes

Fingerprint

Soaking pits
Iron and steel plants
Fuel consumption
Steel
Optimal Control
Heating
Optimal Control Theory
Boundary Control
Nonlinear Boundary Conditions
Optimal Policy
Dynamic Equation
Nonlinear Partial Differential Equations
Temperature
Distributed parameter control systems
Iron and steel industry
Optimality
Ingots
Control theory
Control System
Numerical Solution

ASJC Scopus subject areas

  • Management Science and Operations Research
  • Control and Systems Engineering
  • Applied Mathematics
  • Control and Optimization

Cite this

Optimal control of temperature and fuel consumption for soaking pits in a steel plant - a distributed parameter approach. / Yang, Dae Ryook; Wang, F. Y.; Chang, K. S.; Lee, Won Kyoo.

In: Optimal Control Applications and Methods, Vol. 9, No. 4, 01.10.1988, p. 417-442.

Research output: Contribution to journalArticle

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