The robustness and design of constrained cross-directional control via integral quadratic constraints
Allbwn ymchwil: Cyfraniad at gyfnodolyn › Erthygl › adolygiad gan gymheiriaid
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Yn: IEEE Transactions on Control Systems Technology, Cyfrol 19, Rhif 6, 04.02.2011, t. 1421-1432.
Allbwn ymchwil: Cyfraniad at gyfnodolyn › Erthygl › adolygiad gan gymheiriaid
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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 -