Economic oriented stochastic optimization in process control using Taguchi's method

András Király, László Dobos, J. Abonyi

Research output: Contribution to journalArticle

Abstract

The optimal operating region of complex production systems is situated close to process constraints related to quality or safety requirements. Higher profit can be realized only by assuring a relatively low frequency of violation of these constraints. We defined a Taguchi-type loss function to aggregate these constraints, target values, and desired ranges of product quality. We evaluate this loss function by Monte-Carlo simulation to handle the stochastic nature of the process and apply the gradient-free Mesh Adaptive Direct Search algorithm to optimize the resulted robust cost function. This optimization scheme is applied to determine the optimal set-point values of control loops with respect to pre-determined risk levels, uncertainties and costs of violation of process constraints. The concept is illustrated by a well-known benchmark problem related to the control of a linear dynamical system and the model predictive control of a more complex nonlinear polymerization process. The application examples illustrate that the loss function of Taguchi is an ideal tool to represent performance requirements of control loops and the proposed Monte-Carlo simulation based optimization scheme is effective to find the optimal operating regions of controlled processes.

Original languageEnglish
Pages (from-to)547-563
Number of pages17
JournalOptimization and Engineering
Volume14
Issue number4
DOIs
Publication statusPublished - 2013

Fingerprint

Taguchi Method
Taguchi methods
Stochastic Optimization
Process Control
Process control
Economics
Loss Function
Model predictive control
Cost functions
Monte Carlo Simulation
Monte Carlo Optimization
Profitability
Dynamical systems
Simulation-based Optimization
Direct Search
Linear Dynamical Systems
Meshfree
Polymerization
Adaptive Mesh
Requirements

Keywords

  • Economic assessment
  • Model predictive control
  • Monte-Carlo simulation
  • Stochastic optimization

ASJC Scopus subject areas

  • Control and Optimization
  • Electrical and Electronic Engineering
  • Software
  • Mechanical Engineering
  • Civil and Structural Engineering
  • Aerospace Engineering

Cite this

Economic oriented stochastic optimization in process control using Taguchi's method. / Király, András; Dobos, László; Abonyi, J.

In: Optimization and Engineering, Vol. 14, No. 4, 2013, p. 547-563.

Research output: Contribution to journalArticle

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