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Type: Artigo de periódico
Title: Uniform Approximation of Infinite Horizon Control Problems for Nonlinear Systems and Stability of the Approximating Controls
Author: Costa, EF
do Val, JBR
Abstract: This technical note addresses the approximation of the infinite horizon problem and the stability of the approximating controls generated by the receding horizon method. The setup takes into account systems and costs that may be nonlinear and discontinuous, with possibly state and control constraints, allowing for a wide range of problems. A detectability notion is introduced that matches standard regularity conditions such as existence of bounds for the cost, and does not require any continuity hypothesis. It is shown that the receding horizon controls associated with the finite horizon problems are approximating solutions for the infinite horizon problem, for a large enough horizon. Exponential stability of the controlled system and estimates for horizons ensuring stability and approximation of the infinite horizon problem are also studied.
Subject: Approximating control
discrete-time systems
model predictive control
nonlinear systems
receding horizon control
Country: EUA
Editor: Ieee-inst Electrical Electronics Engineers Inc
Citation: Ieee Transactions On Automatic Control. Ieee-inst Electrical Electronics Engineers Inc, v. 54, n. 4, n. 881, n. 886, 2009.
Rights: fechado
Identifier DOI: 10.1109/TAC.2008.2010970
Date Issue: 2009
Appears in Collections:Unicamp - Artigos e Outros Documentos

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