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Robust Stability of Barrier-Based Model Predictive Control

Petsagkourakis, P; Heath, WP; Carrasco, J; Theodoropoulos, C; (2020) Robust Stability of Barrier-Based Model Predictive Control. IEEE Transactions on Automatic Control p. 1. 10.1109/tac.2020.3010770. (In press). Green open access

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Abstract

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.

Type: Article
Title: Robust Stability of Barrier-Based Model Predictive Control
Open access status: An open access version is available from UCL Discovery
DOI: 10.1109/tac.2020.3010770
Publisher version: http://dx.doi.org/10.1109/tac.2020.3010770
Language: English
Additional information: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Chemical Engineering
URI: https://discovery.ucl.ac.uk/id/eprint/10106558
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