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The robustness and design of constrained cross-directional control via integral quadratic constraints

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The robustness and design of constrained cross-directional control via integral quadratic constraints. / Morales, R.M.; Heath, W.P.
In: IEEE Transactions on Control Systems Technology, Vol. 19, No. 6, 04.02.2011, p. 1421-1432.

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

HarvardHarvard

Morales, RM & Heath, WP 2011, 'The robustness and design of constrained cross-directional control via integral quadratic constraints', IEEE Transactions on Control Systems Technology, vol. 19, no. 6, pp. 1421-1432. https://doi.org/10.1109/TCST.2010.2095421

APA

Morales, R. M., & Heath, W. P. (2011). The robustness and design of constrained cross-directional control via integral quadratic constraints. IEEE Transactions on Control Systems Technology, 19(6), 1421-1432. https://doi.org/10.1109/TCST.2010.2095421

CBE

Morales RM, Heath WP. 2011. The robustness and design of constrained cross-directional control via integral quadratic constraints. IEEE Transactions on Control Systems Technology. 19(6):1421-1432. https://doi.org/10.1109/TCST.2010.2095421

MLA

Morales, R.M. and W.P. Heath. "The robustness and design of constrained cross-directional control via integral quadratic constraints". IEEE Transactions on Control Systems Technology. 2011, 19(6). 1421-1432. https://doi.org/10.1109/TCST.2010.2095421

VancouverVancouver

Morales RM, Heath WP. The robustness and design of constrained cross-directional control via integral quadratic constraints. IEEE Transactions on Control Systems Technology. 2011 Feb 4;19(6):1421-1432. doi: 10.1109/TCST.2010.2095421

Author

Morales, R.M. ; Heath, W.P. / The robustness and design of constrained cross-directional control via integral quadratic constraints. In: IEEE Transactions on Control Systems Technology. 2011 ; Vol. 19, No. 6. pp. 1421-1432.

RIS

TY - JOUR

T1 - The robustness and design of constrained cross-directional control via integral quadratic constraints

AU - Morales, R.M.

AU - Heath, W.P.

PY - 2011/2/4

Y1 - 2011/2/4

N2 - A robust stability test for a class of constrained cross-directional controllers is found. Under special circumstances, the stability test is executed on a mode-by-mode basis and greatly simplified to a frequency-domain criterion. The test is also exploited to develop tuning algorithms. The control system involves a quadratic program embedded within an internal model control antiwindup structure and achieves optimal steady-state performance when the plant is known. Both the nonlinearity in the controller and the plant uncertainty satisfy certain integral quadratic inequalities. This allows us to obtain conditions for robust stability that can be expressed as linear matrix inequalities via the Kalman-Yakubovich-Popov lemma.

AB - A robust stability test for a class of constrained cross-directional controllers is found. Under special circumstances, the stability test is executed on a mode-by-mode basis and greatly simplified to a frequency-domain criterion. The test is also exploited to develop tuning algorithms. The control system involves a quadratic program embedded within an internal model control antiwindup structure and achieves optimal steady-state performance when the plant is known. Both the nonlinearity in the controller and the plant uncertainty satisfy certain integral quadratic inequalities. This allows us to obtain conditions for robust stability that can be expressed as linear matrix inequalities via the Kalman-Yakubovich-Popov lemma.

U2 - 10.1109/TCST.2010.2095421

DO - 10.1109/TCST.2010.2095421

M3 - Erthygl

VL - 19

SP - 1421

EP - 1432

JO - IEEE Transactions on Control Systems Technology

JF - IEEE Transactions on Control Systems Technology

IS - 6

ER -