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

Rafael M. Morales; William P. Heath

doi:10.1109/TCST.2010.2095421

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

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Abstract

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. © 2011 IEEE.

Original language	English
Article number	5708189
Pages (from-to)	1421-1432
Number of pages	11
Journal	IEEE Transactions on Control Systems Technology
Volume	19
Issue number	6
DOIs	https://doi.org/10.1109/TCST.2010.2095421
Publication status	Published - Nov 2011

Keywords

Constraints
cross-directional (CD) control
integral quadratic constraints (IQCs)
robustness

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10.1109/TCST.2010.2095421

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title = "The robustness and design of constrained cross-directional control via integral quadratic constraints",

abstract = "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. {\textcopyright} 2011 IEEE.",

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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. © 2011 IEEE.

KW - Constraints

KW - cross-directional (CD) control

KW - integral quadratic constraints (IQCs)

KW - robustness

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JO - IEEE Transactions on Control Systems Technology

JF - IEEE Transactions on Control Systems Technology

IS - 6

M1 - 5708189

ER -

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

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Keywords

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