Nonfragile robust model predictive control for uncertain constrained systems with time-delay compensation
type: Item
instance of: scholarly article
title: Nonfragile robust model predictive control for uncertain constrained systems with time-delay compensation
zbMATH Open document ID: 1400.93078
DOI: 10.1155/2016/1945964
author: Wei Jiang
author: Hongli Wang
author: Jing-hui Lu
author: Guang-bin Cai
author: Weiwei Qin
published in: Mathematical Problems in Engineering
publication date: 2018-10-12T00:00:00Z
review text: Summary: This study investigates the problem of asymptotic stabilization for a class of discrete-time linear uncertain time-delayed systems with input constraints. Parametric uncertainty is assumed to be structured, and delay is assumed to be known. In Lyapunov stability theory framework, two synthesis schemes of designing nonfragile robust model predictive control (RMPC) with time-delay compensation are put forward, where the additive and the multiplicative gain perturbations are, respectively, considered. First, by designing appropriate Lyapunov-Krasovskii (L-K) functions, the robust performance index is defined as optimization problems that minimize upper bounds of infinite horizon cost function. Then, to guarantee closed-loop stability, the sufficient conditions for the existence of desired nonfragile RMPC are obtained in terms of linear matrix inequalities (LMIs). Finally, two numerical examples are provided to illustrate the effectiveness of the proposed approaches.
Mathematics Subject Classification ID: 93B40
Mathematics Subject Classification ID: 93B51
zbMATH DE Number: 6952869
describes a project that uses: LMI toolbox
MaRDI profile type: Publication
Wikidata QID: Q59131073
full work available at URL: https://doi.org/10.1155/2016/1945964
OpenAlex ID: W2487394400
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description: scientific article; zbMATH DE number 6952869