Robust Stability of Barrier-Based Model Predictive Control

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DOI

  • Panagiotis Petsagkourakis
    University of Manchester
  • William P. Heath
    University of Manchester
  • Joaquin Carrasco
    University of Manchester
  • Constantinos Theodoropoulos
    University of Manchester
Conditions for robust input-output stability of barrier-based model predictive control of linear systems with linear and convex nonlinear (hard or soft) constraints are established through the construction of integral quadratic constraints (IQCs). The IQCs can be used to determine sufficient conditions for global closed-loop stability. In particular, conditions for robust stability can be obtained in the presence of unstructured model uncertainty. IQCs with both static and dynamic multipliers are developed and appropriate convex searches for the multipliers are presented. The effectiveness of the robust stability analysis is demonstrated through an illustrative numerical example
Original languageUnknown
Pages (from-to)1879-1886
Number of pages8
JournalIEEE Transactions on Automatic Control
Volume66
Issue number4
Early online date21 Jul 2020
DOIs
Publication statusPublished - 1 Apr 2021
Externally publishedYes
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