Polynomial solution of predictive optimal control problems for systems in state-equation form

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Abstract

The solution of linear quadratic predictive optimal control problems for systems represented in state-equation form, but using a polynomial systems approach, is considered. A multistep cost-function is used that includes future set-point information. A novel method is introduced for computing the vector of future controls and for solving a simpler optimization problem for the current control.
LanguageEnglish
Pages439-447
Number of pages8
JournalJournal of Dynamic Systems, Measurement, and Control
Volume125
Issue number3
DOIs
Publication statusPublished - 2003

Fingerprint

optimal control
polynomials
equations of state
Polynomials
Electric current control
Cost functions
costs
optimization

Keywords

  • predictive control
  • linear quadratic control
  • process control
  • discrete time systems
  • multivariable systems
  • linear systems
  • optimisation

Cite this

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title = "Polynomial solution of predictive optimal control problems for systems in state-equation form",
abstract = "The solution of linear quadratic predictive optimal control problems for systems represented in state-equation form, but using a polynomial systems approach, is considered. A multistep cost-function is used that includes future set-point information. A novel method is introduced for computing the vector of future controls and for solving a simpler optimization problem for the current control.",
keywords = "predictive control, linear quadratic control, process control, discrete time systems, multivariable systems, linear systems, optimisation",
author = "M.J. Grimble",
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language = "English",
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journal = "Journal of Dynamic Systems, Measurement, and Control",
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AB - The solution of linear quadratic predictive optimal control problems for systems represented in state-equation form, but using a polynomial systems approach, is considered. A multistep cost-function is used that includes future set-point information. A novel method is introduced for computing the vector of future controls and for solving a simpler optimization problem for the current control.

KW - predictive control

KW - linear quadratic control

KW - process control

KW - discrete time systems

KW - multivariable systems

KW - linear systems

KW - optimisation

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