GMV control of nonlinear multivariable systems

Research output: Contribution to conferencePaper

Abstract

A Generalized Minimum Variance control law is derived for the control of nonlinear, possibly time-varying multivariable systems. The solution for the control law is original and was obtained in the time-domain using a simple operator representation of the process. The quadratic cost index involves both error and control signal costing terms. The controller obtained is simple to implement and includes an internal model of the process. In one form might be considered a nonlinear version of the Smith Predictor. However, unlike the Smith Predictor a stabilizing control law can be obtained even for some open-loop unstable processes
LanguageEnglish
Number of pages3
Publication statusPublished - Sep 2004
EventControl 2004 - Bath, United Kingdom
Duration: 1 Sep 20041 Sep 2004

Conference

ConferenceControl 2004
CountryUnited Kingdom
CityBath
Period1/09/041/09/04

Fingerprint

Multivariable systems
Controllers
Costs

Keywords

  • gmv control
  • nonlinear
  • multivariable systems
  • optimal control
  • optimisation
  • minimum variance

Cite this

Grimble, M. J. (2004). GMV control of nonlinear multivariable systems. Paper presented at Control 2004, Bath, United Kingdom.
Grimble, M.J. / GMV control of nonlinear multivariable systems. Paper presented at Control 2004, Bath, United Kingdom.3 p.
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Grimble, MJ 2004, 'GMV control of nonlinear multivariable systems' Paper presented at Control 2004, Bath, United Kingdom, 1/09/04 - 1/09/04, .

GMV control of nonlinear multivariable systems. / Grimble, M.J.

2004. Paper presented at Control 2004, Bath, United Kingdom.

Research output: Contribution to conferencePaper

TY - CONF

T1 - GMV control of nonlinear multivariable systems

AU - Grimble, M.J.

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Y1 - 2004/9

N2 - A Generalized Minimum Variance control law is derived for the control of nonlinear, possibly time-varying multivariable systems. The solution for the control law is original and was obtained in the time-domain using a simple operator representation of the process. The quadratic cost index involves both error and control signal costing terms. The controller obtained is simple to implement and includes an internal model of the process. In one form might be considered a nonlinear version of the Smith Predictor. However, unlike the Smith Predictor a stabilizing control law can be obtained even for some open-loop unstable processes

AB - A Generalized Minimum Variance control law is derived for the control of nonlinear, possibly time-varying multivariable systems. The solution for the control law is original and was obtained in the time-domain using a simple operator representation of the process. The quadratic cost index involves both error and control signal costing terms. The controller obtained is simple to implement and includes an internal model of the process. In one form might be considered a nonlinear version of the Smith Predictor. However, unlike the Smith Predictor a stabilizing control law can be obtained even for some open-loop unstable processes

KW - gmv control

KW - nonlinear

KW - multivariable systems

KW - optimal control

KW - optimisation

KW - minimum variance

M3 - Paper

ER -

Grimble MJ. GMV control of nonlinear multivariable systems. 2004. Paper presented at Control 2004, Bath, United Kingdom.