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Robust MPC with recursive model update

delete2019-05-01
delete130
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OA
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M
Matthias Lorenzen *
M
Mark Cannon
F
Frank Allgöwer
DOI:10.1016/j.automatica.2019.02.023delete
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Abstract

Abstract

En 中文
Robust constrained control of linear systems with parametric uncertainty and additive disturbance is addressed. The main contribution is the introduction of a mathematically rigorous and computationally tractable framework for stabilizing model predictive control with online parameter estimation to improve performance and reduce conservatism. Requirements for closed-loop stability and provable constraint satisfaction are considered separately, resulting in the use of online set-membership system identification combined with homothetic prediction tubes for robust constraint satisfaction, and an i optimal point estimate of the unknown parameters to achieve a finite closed-loop gain from the disturbance to the state. Extensions to time-varying parameters and persistently exciting inputs to guarantee parameter convergence are presented. A numerical example illustrates the proven properties and efficacy of the approach. (C) 2019 Elsevier Ltd. All rights reserved.
Keywords:
Model predictive control
Adaptive model predictive control
Receding horizon control
Control of constrained systems
Adaptive control
Uncertain linear systems
System identification
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Journal

Automatica cover
Automatica
IF:
5.9
Papers:
1.2W
Citations:
5.2W

Organization

U
University of Stuttgart
Scholars:
1.1W
Papers: 9.4K
Citations: 1.3W
U
university of oxford
Scholars:
9.8W
Papers: 8.6W
Citations: 137
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