### Abstract

Original language | English |
---|---|

Pages (from-to) | 103-132 |

Number of pages | 29 |

Journal | Dynamics and Control |

Volume | 11 |

Issue number | 2 |

DOIs | |

Publication status | Published - Apr 2001 |

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### Keywords

- optimization
- multi-model
- PID control
- process control

### Cite this

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**LQG optimization of pid structured multi-model process control systems : One dof tracking and feedforward control.** / Grimble, M.J.

Research output: Contribution to journal › Article

TY - JOUR

T1 - LQG optimization of pid structured multi-model process control systems

T2 - One dof tracking and feedforward control

AU - Grimble, M.J.

PY - 2001/4

Y1 - 2001/4

N2 - The solution of an optimal control problem is discussed where the single degree of freedom structure of the controller is chosen to have a very simple form. The controller may be chosen to be of reduced order, lead/lag, or PID forms, and the controller is required to minimize an LQG cost-index. The optimization is based upon a cost-function which allows separate costing of the terms due to the feedback and feedforward controllers. The system model can be uncertain and can be represented by a set of linear models over which the optimization is performed. This provides a form of robust optimal control that might even be applied to nonlinear systems that are approximated adequately by a set of linearized models. The aim is to find a single controller that has a simple form and stabilises the full set of models.

AB - The solution of an optimal control problem is discussed where the single degree of freedom structure of the controller is chosen to have a very simple form. The controller may be chosen to be of reduced order, lead/lag, or PID forms, and the controller is required to minimize an LQG cost-index. The optimization is based upon a cost-function which allows separate costing of the terms due to the feedback and feedforward controllers. The system model can be uncertain and can be represented by a set of linear models over which the optimization is performed. This provides a form of robust optimal control that might even be applied to nonlinear systems that are approximated adequately by a set of linearized models. The aim is to find a single controller that has a simple form and stabilises the full set of models.

KW - optimization

KW - multi-model

KW - PID control

KW - process control

U2 - 10.1023/A:1012525410995

DO - 10.1023/A:1012525410995

M3 - Article

VL - 11

SP - 103

EP - 132

JO - Dynamics and Control

JF - Dynamics and Control

SN - 0925-4668

IS - 2

ER -