Research Portal

Zames-Falb multipliers for quadratic programming

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

Standard Standard

Zames-Falb multipliers for quadratic programming. / Heath, W.P.; Wills, A.G.
In: IEEE Transactions on Automatic Control, Vol. 52, No. 10, 15.10.2007, p. 1948-1951.

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

HarvardHarvard

Heath, WP & Wills, AG 2007, 'Zames-Falb multipliers for quadratic programming', IEEE Transactions on Automatic Control, vol. 52, no. 10, pp. 1948-1951. https://doi.org/10.1109/TAC.2007.906233

APA

Heath, W. P., & Wills, A. G. (2007). Zames-Falb multipliers for quadratic programming. IEEE Transactions on Automatic Control, 52(10), 1948-1951. https://doi.org/10.1109/TAC.2007.906233

CBE

Heath WP, Wills AG. 2007. Zames-Falb multipliers for quadratic programming. IEEE Transactions on Automatic Control. 52(10):1948-1951. https://doi.org/10.1109/TAC.2007.906233

MLA

Heath, W.P. and A.G. Wills. "Zames-Falb multipliers for quadratic programming". IEEE Transactions on Automatic Control. 2007, 52(10). 1948-1951. https://doi.org/10.1109/TAC.2007.906233

VancouverVancouver

Heath WP, Wills AG. Zames-Falb multipliers for quadratic programming. IEEE Transactions on Automatic Control. 2007 Oct 15;52(10):1948-1951. doi: 10.1109/TAC.2007.906233

Author

Heath, W.P. ; Wills, A.G. / Zames-Falb multipliers for quadratic programming. In: IEEE Transactions on Automatic Control. 2007 ; Vol. 52, No. 10. pp. 1948-1951.

RIS

TY - JOUR

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

VL - 52

SP - 1948

EP - 1951

JO - IEEE Transactions on Automatic Control

JF - IEEE Transactions on Automatic Control

SN - 2334-3303

IS - 10

ER -