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Lyapunov-Based Model Predictive Control

  • Chapter
Networked and Distributed Predictive Control

Part of the book series: Advances in Industrial Control ((AIC))

Abstract

In Chap. 2, some basic results on Lyapunov-based control, model predictive control and Lyapunov-based model predictive control of nonlinear systems are first reviewed and then two Lyapunov-based model predictive control (LMPC) designs for systems subject to data losses and time-varying measurement delays are presented. In order to provide guaranteed closed-loop stability results, the constraints that define the LMPC optimization problems as well as the implementation procedures are carefully designed to account for data losses (or asynchronous measurements) and time-varying measurement delays. The presented LMPC designs possess an explicit characterization of the closed-loop system stability region. Using a nonlinear chemical reactor example, it is demonstrated that the presented LMPC approaches are robust to data losses and measurement delays.

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Authors and Affiliations

  1. Department of Chemical and Biomolecular Engineering, University of California, Los Angeles, Los Angeles, USA

    Panagiotis D. Christofides & Jinfeng Liu

  2. Departamento de Ingeniería de Sistemas y Automática, Universidad de Sevilla, Camino de los Descubrimientos, 41092, Sevilla, Spain

    David Muñoz de la Peña

Authors
  1. Panagiotis D. Christofides
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  2. Jinfeng Liu
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  3. David Muñoz de la Peña
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Correspondence to Panagiotis D. Christofides .

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Christofides, P.D., Liu, J., Muñoz de la Peña, D. (2011). Lyapunov-Based Model Predictive Control. In: Networked and Distributed Predictive Control. Advances in Industrial Control. Springer, London. https://doi.org/10.1007/978-0-85729-582-8_2

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  • DOI: https://doi.org/10.1007/978-0-85729-582-8_2

  • Publisher Name: Springer, London

  • Print ISBN: 978-0-85729-581-1

  • Online ISBN: 978-0-85729-582-8

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