id: 02229390
dt: j
an: 02229390
au: Heath, W.P.; Wills, A.G.; Akkermans, J.A.G.
ti: A sufficient condition for the stability of optimizing controllers with
saturating actuators.
so: Int. J. Robust Nonlinear Control 15, No. 12, 515-529 (2005).
py: 2005
pu: Wiley, Chichester
la: EN
cc:
ut: anti-windup control; model predictive control; robust control; circle
criterion
ci:
li: doi:10.1002/rnc.1008
ab: Summary: The quadratic program that must be solved with certain
output-feedback model predictive controllers can be expressed as a
continuous sector-bounded nonlinearity together with two linear
transformations. Thus, the multivariable circle criterion gives a
simple test for stability, with or without model mismatch. In
particular, it may be applied if the open-loop plant is stable and the
actuators are subject to simple saturation constraints. In the case of
single horizon model predictive control, it suffices to check for
positive realness a transfer function matrix whose dimension
corresponds to the number of inputs. For an arbitrary length receding
horizon it suffices to check the poles of a low dimension transfer
function matrix and the eigenvalues (over an appropriate range of
operator values) of a matrix whose dimension is independent of the
horizon length.
rv: