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Stability and Robustness of Nonlinear Receding Horizon Control

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Nonlinear Model Predictive Control

Part of the book series: Progress in Systems and Control Theory ((PSCT,volume 26))

Abstract

The main design strategies for ensuring stability and robustness of nonlinear RH (Receding-Horizon) control systems are critically surveyed. In particular, the following algorithms with guaranteed closed-loop stability of the equilibrium are considered: the zero-state terminal constraint, the dual-mode RH controller, the infinite-horizon closed-loop costing, the quasi-infinite method, and the contractive constraint. For each algorithm, we analyse and compare feasibility, performance, and implementation issues. For what concerns robustness analysis and design, we consider: monotonicity-based robustness, inverse optimality robustness margins, nonlinear H ∞ RH design, and a new nonlinear RH design with local H ∞ recovery.

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Authors and Affiliations

  1. Università degli Studi di Pavia, Dipartimento di Informatica e Sistemistica, Via Ferrata 1, Pavia, 27100, Italy

    G. De Nicolao, L. Magni & R. Scattolini

Authors
  1. G. De Nicolao
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  2. L. Magni
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  3. R. Scattolini
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Editor information

Editors and Affiliations

  1. Institut für Systemtheorie technischer Prozesse, Universität Stuttgart, Pfaffenwaldring 9, Stuttgart, 70550, Germany

    Frank Allgöwer

  2. Department of Chemical Engineering, University of Massachusetts at Amherst, 159 Goessmann Lab, Amherst, 01003-3110, MA, USA

    Alex Zheng

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© 2000 Springer Basel AG

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De Nicolao, G., Magni, L., Scattolini, R. (2000). Stability and Robustness of Nonlinear Receding Horizon Control. In: Allgöwer, F., Zheng, A. (eds) Nonlinear Model Predictive Control. Progress in Systems and Control Theory, vol 26. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8407-5_1

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  • DOI: https://doi.org/10.1007/978-3-0348-8407-5_1

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9554-5

  • Online ISBN: 978-3-0348-8407-5

  • eBook Packages: Springer Book Archive

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