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The robustness of input constrained model predictive control to infinity-norm bound model uncertainty

Research output: Contribution to journal › Article › peer-review

Standard Standard

The robustness of input constrained model predictive control to infinity-norm bound model uncertainty. / Heath, W.P.; Li, G.; Wills, A.G. et al.
In: IFAC Proceedings Volumes (IFAC-PapersOnline), Vol. 39, No. 9, 21.04.2016, p. 495-500.

Research output: Contribution to journal › Article › peer-review

HarvardHarvard

Heath, WP, Li, G, Wills, AG & Lennox, B 2016, 'The robustness of input constrained model predictive control to infinity-norm bound model uncertainty', IFAC Proceedings Volumes (IFAC-PapersOnline), vol. 39, no. 9, pp. 495-500. https://doi.org/10.3182/20060705-3-FR-2907.00085

APA

Heath, W. P., Li, G., Wills, A. G., & Lennox, B. (2016). The robustness of input constrained model predictive control to infinity-norm bound model uncertainty. IFAC Proceedings Volumes (IFAC-PapersOnline), 39(9), 495-500. https://doi.org/10.3182/20060705-3-FR-2907.00085

CBE

Heath WP, Li G, Wills AG, Lennox B. 2016. The robustness of input constrained model predictive control to infinity-norm bound model uncertainty. IFAC Proceedings Volumes (IFAC-PapersOnline). 39(9):495-500. https://doi.org/10.3182/20060705-3-FR-2907.00085

MLA

Heath, W.P. et al. "The robustness of input constrained model predictive control to infinity-norm bound model uncertainty". IFAC Proceedings Volumes (IFAC-PapersOnline). 2016, 39(9). 495-500. https://doi.org/10.3182/20060705-3-FR-2907.00085

VancouverVancouver

Heath WP, Li G, Wills AG, Lennox B. The robustness of input constrained model predictive control to infinity-norm bound model uncertainty. IFAC Proceedings Volumes (IFAC-PapersOnline). 2016 Apr 21;39(9):495-500. Epub 2006 Jul 6. doi: 10.3182/20060705-3-FR-2907.00085

Author

Heath, W.P. ; Li, G. ; Wills, A.G. et al. / The robustness of input constrained model predictive control to infinity-norm bound model uncertainty. In: IFAC Proceedings Volumes (IFAC-PapersOnline). 2016 ; Vol. 39, No. 9. pp. 495-500.

RIS

TY - JOUR

T1 - The robustness of input constrained model predictive control to infinity-norm bound model uncertainty

AU - Heath, W.P.

AU - Li, G.

AU - Wills, A.G.

AU - Lennox, B.

PY - 2016/4/21

Y1 - 2016/4/21

N2 - The nonlinearity that arises in constrained MPC (model predictive control) satisfies an IQC (integral quadratic constraint), provided zero is feasible. It is thus possible to construct a robust stability test against any model uncertainty that also satisfies an IQC. In particular the test may be applied to structured and unstructured infinity-norm bound uncertainty. The test may be applied with predictive controllers of arbitrary horizon. The test is illustrated for several simple MPC schemes and simulation results are shown for a two-input two-output plant with left matrix fraction uncertainty.

AB - The nonlinearity that arises in constrained MPC (model predictive control) satisfies an IQC (integral quadratic constraint), provided zero is feasible. It is thus possible to construct a robust stability test against any model uncertainty that also satisfies an IQC. In particular the test may be applied to structured and unstructured infinity-norm bound uncertainty. The test may be applied with predictive controllers of arbitrary horizon. The test is illustrated for several simple MPC schemes and simulation results are shown for a two-input two-output plant with left matrix fraction uncertainty.

U2 - 10.3182/20060705-3-FR-2907.00085

DO - 10.3182/20060705-3-FR-2907.00085

M3 - Erthygl

VL - 39

SP - 495

EP - 500

JO - IFAC Proceedings Volumes (IFAC-PapersOnline)

JF - IFAC Proceedings Volumes (IFAC-PapersOnline)

IS - 9

ER -