The inherent robustness of constrained linear model predictive control
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In: IFAC Proceedings Volumes (IFAC-PapersOnline), Vol. 38, No. 1, 16.05.2016, p. 71-76.
Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - The inherent robustness of constrained linear model predictive control
AU - Heath, W.P.
AU - Wills, A.G.
PY - 2016/5/16
Y1 - 2016/5/16
N2 - We show that a sufficient condition for the robust stability of constrained linear model predictive control is for the plant to be open-loop stable, for zero to be a feasible solution of the associated quadratic programme and for the input weighting be sufficiently high. The result can be applied equally to state feedback and output feedback controllers with arbitrary prediction horizon. If integral action is included a further condition on the steady state modelling error is required for stability.
AB - We show that a sufficient condition for the robust stability of constrained linear model predictive control is for the plant to be open-loop stable, for zero to be a feasible solution of the associated quadratic programme and for the input weighting be sufficiently high. The result can be applied equally to state feedback and output feedback controllers with arbitrary prediction horizon. If integral action is included a further condition on the steady state modelling error is required for stability.
U2 - 10.3182/20050703-6-CZ-1902.00956
DO - 10.3182/20050703-6-CZ-1902.00956
M3 - Erthygl
VL - 38
SP - 71
EP - 76
JO - IFAC Proceedings Volumes (IFAC-PapersOnline)
JF - IFAC Proceedings Volumes (IFAC-PapersOnline)
IS - 1
ER -