Zames-Falb multipliers for quadratic programming
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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.
| Original language | Unknown |
|---|---|
| Pages (from-to) | 1948-1951 |
| Number of pages | 4 |
| Journal | IEEE Transactions on Automatic Control |
| Volume | 52 |
| Issue number | 10 |
| DOIs | |
| Publication status | Published - 15 Oct 2007 |
| Externally published | Yes |