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Robust model predictive control of constrained linear systems with bounded disturbances

Mayne, D.Q., Seron, M.M., Raković, S.V.·2005·Automatica

Abstract

This paper provides a novel solution to the problem of robust model predictive control of constrained, linear, discrete-time systems in the presence of bounded disturbances. The optimal control problem that is solved online includes, uniquely, the initial state of the model employed in the problem as a decision variable. The associated value function is zero in a disturbance invariant set that serves as the 'origin' when bounded disturbances are present, and permits a strong stability result, namely robust exponential stability of the disturbance invariant set for the controlled system with bounded disturbances, to be obtained. The resultant online algorithm is a quadratic program of similar complexity to that required in conventional model predictive control.

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Crossref · 10.1016/j.automatica.2004.08.019

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Metadata

Authors
Mayne, D. Q., Seron, M. M., & Raković, S. V.
Venue
Automatica
Publisher
Elsevier BV
Published
2005-02
Volume
41
Issue
2
Pages
219-224
ISSN
0005-1098 (ISSN-L)
OpenAlex
W1981723834
Cited by
1,672
References
1
FWCI
31.40
Type
journal article
Language
en
Open access
closed

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

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