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

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  • W.P. Heath
    University of Manchester
  • G. Li
    University of Manchester
  • A.G. Wills
    University of Manchester
  • B. Lennox
    University of Manchester
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.
Original languageUnknown
Pages (from-to)495-500
Number of pages6
JournalIFAC Proceedings Volumes (IFAC-PapersOnline)
Volume39
Issue number9
Early online date6 Jul 2006
DOIs
Publication statusPublished - 21 Apr 2016
Externally publishedYes
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