Brief paper: Multipliers for model predictive control with structured input constraints

  • Authors:

  • W. P. Heath;Guang Li

  • Affiliations:

  • Control Systems Centre, School of Electrical and Electronic Engineering, The University of Manchester, PO Box 88, Sackville Street, Manchester M60 1QD, UK;Automatic Control and Test Laboratory, Department of Mechanical Engineering, The University of Bristol, Queens Building, University Walk, Bristol, BS8 1TR, UK

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 2010

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Abstract

The stability and robustness of input-constrained model predictive control can be analyzed using the theory of integral quadratic constraints. We demonstrate the existence of improved multipliers when there are only staged input or box input constraints. This can significantly reduce the conservatism of any stability analysis, and we illustrate the improved performance with a simple numerical example.