Zames-Falb multipliers for quadratic programming

Allbwn ymchwil: Cyfraniad at gyfnodolynErthygladolygiad gan gymheiriaid

Fersiynau electronig

Dangosydd eitem ddigidol (DOI)

  • W.P. Heath
    University of Manchester
  • A.G. Wills
    The University of Newcastle
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 wreiddiolAnadnabyddus
Tudalennau (o-i)1948-1951
Nifer y tudalennau4
CyfnodolynIEEE Transactions on Automatic Control
Cyfrol52
Rhif y cyfnodolyn10
Dynodwyr Gwrthrych Digidol (DOIs)
StatwsCyhoeddwyd - 15 Hyd 2007
Cyhoeddwyd yn allanolIe
Gweld graff cysylltiadau