An interaction measure for control configuration selection for multivariable bilinear systems

Hamid Reza Shaker*, Jakob Stoustrup

*Corresponding author for this work

Research output: Contribution to journalJournal articleResearchpeer-review

Abstract

Control configuration selection is the procedure of choosing the appropriate input and output pairs for the design of decoupled (SISO or block) controllers for multivariable systems. This step is an important prerequisite for a successful industrial control strategy. In industrial practice it is often the case that systems which need to be controlled are non-linear, and linear models are insufficient to describe the behavior of the processes. The focus of this paper is on the problem of control configuration selection for a class of non-linear systems which is known as bilinear systems. A gramian-based interaction measure for control configuration selection of MIMO bilinear processes is described. In general, most of the results on the control configuration selection, which have been proposed so far, can only support linear systems. The proposed gramian-based interaction measure not only supports bilinear processes but also can be used to propose a richer sparse or block diagonal controller structure. The method is illustrated further with the help of some illustrative examples.

Original languageEnglish
JournalNonlinear Dynamics
Volume72
Issue number1-2
Pages (from-to)165-174
Number of pages10
ISSN0924-090X
DOIs
Publication statusPublished - 1. Apr 2013
Externally publishedYes

Fingerprint

Bilinear Systems
Multivariable systems
Multivariable Systems
Configuration
Interaction
Controller
Controllers
Multiple-input multiple-output (MIMO)
Control Strategy
Linear Model
MIMO systems
Nonlinear Systems
Linear Systems
Linear systems
Nonlinear systems
Output

Keywords

  • Bilinear systems
  • Interaction measure
  • Process control

Cite this

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An interaction measure for control configuration selection for multivariable bilinear systems. / Shaker, Hamid Reza; Stoustrup, Jakob.

In: Nonlinear Dynamics, Vol. 72, No. 1-2, 01.04.2013, p. 165-174.

Research output: Contribution to journalJournal articleResearchpeer-review

TY - JOUR

T1 - An interaction measure for control configuration selection for multivariable bilinear systems

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AU - Stoustrup, Jakob

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AB - Control configuration selection is the procedure of choosing the appropriate input and output pairs for the design of decoupled (SISO or block) controllers for multivariable systems. This step is an important prerequisite for a successful industrial control strategy. In industrial practice it is often the case that systems which need to be controlled are non-linear, and linear models are insufficient to describe the behavior of the processes. The focus of this paper is on the problem of control configuration selection for a class of non-linear systems which is known as bilinear systems. A gramian-based interaction measure for control configuration selection of MIMO bilinear processes is described. In general, most of the results on the control configuration selection, which have been proposed so far, can only support linear systems. The proposed gramian-based interaction measure not only supports bilinear processes but also can be used to propose a richer sparse or block diagonal controller structure. The method is illustrated further with the help of some illustrative examples.

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