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Orthogonal functions for cross-directional control of web forming processes

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Orthogonal functions for cross-directional control of web forming processes. / Heath, W.P.
In: Automatica, Vol. 32, No. 2, 01.02.1996, p. 183-198.

Research output: Contribution to journal › Article › peer-review

HarvardHarvard

Heath, WP 1996, 'Orthogonal functions for cross-directional control of web forming processes', Automatica, vol. 32, no. 2, pp. 183-198. https://doi.org/10.1016/0005-1098(96)85548-8

APA

Heath, W. P. (1996). Orthogonal functions for cross-directional control of web forming processes. Automatica, 32(2), 183-198. https://doi.org/10.1016/0005-1098(96)85548-8

CBE

Heath WP. 1996. Orthogonal functions for cross-directional control of web forming processes. Automatica. 32(2):183-198. https://doi.org/10.1016/0005-1098(96)85548-8

MLA

Heath, W.P. "Orthogonal functions for cross-directional control of web forming processes". Automatica. 1996, 32(2). 183-198. https://doi.org/10.1016/0005-1098(96)85548-8

VancouverVancouver

Heath WP. Orthogonal functions for cross-directional control of web forming processes. Automatica. 1996 Feb 1;32(2):183-198. doi: 10.1016/0005-1098(96)85548-8

Author

Heath, W.P. / Orthogonal functions for cross-directional control of web forming processes. In: Automatica. 1996 ; Vol. 32, No. 2. pp. 183-198.

RIS

TY - JOUR

T1 - Orthogonal functions for cross-directional control of web forming processes

AU - Heath, W.P.

PY - 1996/2/1

Y1 - 1996/2/1

N2 - The cross-directional behaviour of web forming processes can be represented in terms of orthogonal basis functions. By choosing a suitable basis set, it is possible to separate controllable and uncontrollable components of the profile into low- and high-order spectral components and hence obtain a parsimonious representation. In most cases if there are sufficient actuators to control all low-order spectral components then the interaction matrix is likely to be ill-conditioned, which necessitates the incorporation of input constraints into the control design. The representation in terms of orthogonal functions allows the design of finite-horizon predictive controllers with hard inequality constraints on the input that are computationally feasible for commercial machines. It is also possible to exploit such a representation to construct efficient estimators for the process.

AB - The cross-directional behaviour of web forming processes can be represented in terms of orthogonal basis functions. By choosing a suitable basis set, it is possible to separate controllable and uncontrollable components of the profile into low- and high-order spectral components and hence obtain a parsimonious representation. In most cases if there are sufficient actuators to control all low-order spectral components then the interaction matrix is likely to be ill-conditioned, which necessitates the incorporation of input constraints into the control design. The representation in terms of orthogonal functions allows the design of finite-horizon predictive controllers with hard inequality constraints on the input that are computationally feasible for commercial machines. It is also possible to exploit such a representation to construct efficient estimators for the process.

U2 - 10.1016/0005-1098(96)85548-8

DO - 10.1016/0005-1098(96)85548-8

M3 - Erthygl

VL - 32

SP - 183

EP - 198

JO - Automatica

JF - Automatica

IS - 2

ER -