Zames-Falb multipliers for quadratic programming

W.P. Heath; A.G. Wills

doi:10.1109/TAC.2007.906233

Zames-Falb multipliers for quadratic programming

W.P. Heath
, A.G. Wills

Allbwn ymchwil: Cyfraniad at gyfnodolyn › Erthygl › adolygiad gan gymheiriaid

Crynodeb

In constrained linear model predictive control, a quadratic program must be solved on-line at each control step, and this constitutes a nonlinearity. If zero is a feasible point for this quadratic program then the resultant nonlinearity is sector bounded. We show that if the nonlinearity is static then it is also monotone and slope restricted; hence, we show the existence of Zames-Falb multipliers for such a nonlinearity. The multipliers may be used in a general and versatile analysis of the robust stability of input constrained model predictive control.

Iaith wreiddiol	Anadnabyddus
Tudalennau (o-i)	1948-1951
Nifer y tudalennau	4
Cyfnodolyn	IEEE Transactions on Automatic Control
Cyfrol	52
Rhif cyhoeddi	10
Dynodwyr Gwrthrych Digidol (DOIs)	https://doi.org/10.1109/TAC.2007.906233
Statws	Cyhoeddwyd - 15 Hyd 2007
Cyhoeddwyd yn allanol	Ie

Mynediad at Ddogfen

10.1109/TAC.2007.906233

Dyfynnu hyn

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abstract = "In constrained linear model predictive control, a quadratic program must be solved on-line at each control step, and this constitutes a nonlinearity. If zero is a feasible point for this quadratic program then the resultant nonlinearity is sector bounded. We show that if the nonlinearity is static then it is also monotone and slope restricted; hence, we show the existence of Zames-Falb multipliers for such a nonlinearity. The multipliers may be used in a general and versatile analysis of the robust stability of input constrained model predictive control.",

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year = "2007",

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journal = "IEEE Transactions on Automatic Control",

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T1 - Zames-Falb multipliers for quadratic programming

AU - Heath, W.P.

AU - Wills, A.G.

PY - 2007/10/15

Y1 - 2007/10/15

N2 - In constrained linear model predictive control, a quadratic program must be solved on-line at each control step, and this constitutes a nonlinearity. If zero is a feasible point for this quadratic program then the resultant nonlinearity is sector bounded. We show that if the nonlinearity is static then it is also monotone and slope restricted; hence, we show the existence of Zames-Falb multipliers for such a nonlinearity. The multipliers may be used in a general and versatile analysis of the robust stability of input constrained model predictive control.

AB - In constrained linear model predictive control, a quadratic program must be solved on-line at each control step, and this constitutes a nonlinearity. If zero is a feasible point for this quadratic program then the resultant nonlinearity is sector bounded. We show that if the nonlinearity is static then it is also monotone and slope restricted; hence, we show the existence of Zames-Falb multipliers for such a nonlinearity. The multipliers may be used in a general and versatile analysis of the robust stability of input constrained model predictive control.

U2 - 10.1109/TAC.2007.906233

DO - 10.1109/TAC.2007.906233

M3 - Erthygl

SN - 2334-3303

VL - 52

SP - 1948

EP - 1951

JO - IEEE Transactions on Automatic Control

JF - IEEE Transactions on Automatic Control

IS - 10

ER -