Multivariable PID controller design using online generalised predictive control optimisation

D.O. Uduehi, A.W. Ordys, Michael Grimble

Research output: Contribution to conferencePaper

Abstract

A novel multivariable state-space predictive PID optimal control law is proposed which is mathematically equivalent to generalised predictive control (GPC). The theoretical problem to be considered is to obtain the causal, stabilising, controllers of pre-specified PID structure, such that the individual PID controllers satisfy a multivariable predictive criterion and hence collectively perform as a multivariate GPC controller. The underlying practical problem and aim of this work is to obtain and develop an online optimisation method for tuning PID controllers so that they can operate either as classical PID controllers or in unison as a multivariable GPC controller. It is shown that such an approach leads to a dual mode controller which is the ability to switch the multivariable PID between operating either as a classical PID controller or a GPC controller.

Conference

Conference2002 International Conference on Control Applications
CountryUnited Kingdom
CityGlasgoq
Period18/09/0220/09/02

Fingerprint

Controllers
Tuning
Switches

Keywords

  • centralized control
  • three-term control
  • switches
  • stochastic processes
  • process control
  • predictive control
  • industrial control
  • design optimization
  • delay effects
  • control systems
  • multivariable PID
  • controller design
  • online
  • generalised
  • predictive control optimisation

Cite this

Uduehi, D. O., Ordys, A. W., & Grimble, M. (2002). Multivariable PID controller design using online generalised predictive control optimisation. 272-277. Paper presented at 2002 International Conference on Control Applications, Glasgoq, United Kingdom. https://doi.org/10.1109/CCA.2002.1040197
Uduehi, D.O. ; Ordys, A.W. ; Grimble, Michael. / Multivariable PID controller design using online generalised predictive control optimisation. Paper presented at 2002 International Conference on Control Applications, Glasgoq, United Kingdom.6 p.
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title = "Multivariable PID controller design using online generalised predictive control optimisation",
abstract = "A novel multivariable state-space predictive PID optimal control law is proposed which is mathematically equivalent to generalised predictive control (GPC). The theoretical problem to be considered is to obtain the causal, stabilising, controllers of pre-specified PID structure, such that the individual PID controllers satisfy a multivariable predictive criterion and hence collectively perform as a multivariate GPC controller. The underlying practical problem and aim of this work is to obtain and develop an online optimisation method for tuning PID controllers so that they can operate either as classical PID controllers or in unison as a multivariable GPC controller. It is shown that such an approach leads to a dual mode controller which is the ability to switch the multivariable PID between operating either as a classical PID controller or a GPC controller.",
keywords = "centralized control , three-term control , switches, stochastic processes , process control , predictive control , industrial control , design optimization , delay effects , control systems , multivariable PID, controller design, online, generalised , predictive control optimisation",
author = "D.O. Uduehi and A.W. Ordys and Michael Grimble",
year = "2002",
month = "12",
doi = "10.1109/CCA.2002.1040197",
language = "English",
pages = "272--277",
note = "2002 International Conference on Control Applications ; Conference date: 18-09-2002 Through 20-09-2002",

}

Uduehi, DO, Ordys, AW & Grimble, M 2002, 'Multivariable PID controller design using online generalised predictive control optimisation' Paper presented at 2002 International Conference on Control Applications, Glasgoq, United Kingdom, 18/09/02 - 20/09/02, pp. 272-277. https://doi.org/10.1109/CCA.2002.1040197

Multivariable PID controller design using online generalised predictive control optimisation. / Uduehi, D.O.; Ordys, A.W.; Grimble, Michael.

2002. 272-277 Paper presented at 2002 International Conference on Control Applications, Glasgoq, United Kingdom.

Research output: Contribution to conferencePaper

TY - CONF

T1 - Multivariable PID controller design using online generalised predictive control optimisation

AU - Uduehi, D.O.

AU - Ordys, A.W.

AU - Grimble, Michael

PY - 2002/12

Y1 - 2002/12

N2 - A novel multivariable state-space predictive PID optimal control law is proposed which is mathematically equivalent to generalised predictive control (GPC). The theoretical problem to be considered is to obtain the causal, stabilising, controllers of pre-specified PID structure, such that the individual PID controllers satisfy a multivariable predictive criterion and hence collectively perform as a multivariate GPC controller. The underlying practical problem and aim of this work is to obtain and develop an online optimisation method for tuning PID controllers so that they can operate either as classical PID controllers or in unison as a multivariable GPC controller. It is shown that such an approach leads to a dual mode controller which is the ability to switch the multivariable PID between operating either as a classical PID controller or a GPC controller.

AB - A novel multivariable state-space predictive PID optimal control law is proposed which is mathematically equivalent to generalised predictive control (GPC). The theoretical problem to be considered is to obtain the causal, stabilising, controllers of pre-specified PID structure, such that the individual PID controllers satisfy a multivariable predictive criterion and hence collectively perform as a multivariate GPC controller. The underlying practical problem and aim of this work is to obtain and develop an online optimisation method for tuning PID controllers so that they can operate either as classical PID controllers or in unison as a multivariable GPC controller. It is shown that such an approach leads to a dual mode controller which is the ability to switch the multivariable PID between operating either as a classical PID controller or a GPC controller.

KW - centralized control

KW - three-term control

KW - switches

KW - stochastic processes

KW - process control

KW - predictive control

KW - industrial control

KW - design optimization

KW - delay effects

KW - control systems

KW - multivariable PID

KW - controller design

KW - online

KW - generalised

KW - predictive control optimisation

U2 - 10.1109/CCA.2002.1040197

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M3 - Paper

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Uduehi DO, Ordys AW, Grimble M. Multivariable PID controller design using online generalised predictive control optimisation. 2002. Paper presented at 2002 International Conference on Control Applications, Glasgoq, United Kingdom. https://doi.org/10.1109/CCA.2002.1040197