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Stabilizing model predictive control for constrained nonlinear distributed delay systems

delete2011-04-01
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R
Reza Mahboobi Esfanjani *
S
S.K.Y. Nikravesh
DOI:10.1016/j.isatra.2010.12.005delete
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Abstract

Abstract

En 中文
In this paper, a model predictive control scheme with guaranteed closed-loop asymptotic stability is proposed for a class of constrained nonlinear time-delay systems with discrete and distributed delays. A suitable terminal cost functional and also an appropriate terminal region are utilized to achieve asymptotic stability. To determine the terminal cost, a locally asymptotically stabilizing controller is designed and an appropriate Lyapunov-Krasoskii functional of the locally stabilized system is employed as the terminal cost. Furthermore, an invariant set for locally stabilized system which is established by using the Razumikhin Theorem is used as the terminal region. Simple conditions are derived to obtain terminal cost and terminal region in terms of Bilinear Matrix Inequalities. The method is illustrated by a numerical example. (C) 2010 ISA. Published by Elsevier Ltd. All rights reserved.
Keywords:
Stabilizing model predictive control
Distributed delay
Nonlinear systems
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Journal

ISA Transactions cover
ISA Transactions
IF:
6.5
Papers:
5.9K
Citations:
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Amirkabir University of Technology
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Papers: 1.1W
Citations: 1.0W