Please use this identifier to cite or link to this item: http://hdl.handle.net/1959.13/25044

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Title
A sufficient condition for the stability of optimizing controllers with saturating actuators
Author/Creator
Heath, W. P.;  Wills, Adrian G.;  Akkermans, J. A. G.
Description
The quadratic programme 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. Copyright (c) 2005 John Wiley & Sons, Ltd.
Relation
International Journal of Robust and Nonlinear Control Vol. 15, no. 12, p. 515-529
Date
2005
Publisher
John Wiley & Sons
Keyword(s)
anti-windup control;  model predictive control;  robust control;  circle;  criterion;  model-predictive control;  quadratic lyapunov functions;  robust;  stability;  explicit construction;  popov theorems;  time theory;  small;  gain;  constraints;  positivity;  systems
Resource Type
journal article
Identifier
http://hdl.handle.net/1959.13/25044
Identifier
ISSN:1099-1239
Language
eng
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Subject
"International Journal of Robust and Nonlinear Control"
 
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