Using interpolation to improve efficiency of multiparametric predictive control

Authors:
J. A. Rossiter;P. Grieder
Affiliations:
Department of Automatic Control & Systems Engineering, University of Sheffield, Mappin Street, S1 3JD, UK;Institut für Automatik, ETH - Swiss Federal Institute of Technology, CH-8092 Zürich, Switzerland
Venue:
Automatica (Journal of IFAC)
Year:
2005

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Abstract

Multi-parameteric quadratic programming (MPQP) gives a full offline solution to a time-varying quadratic programming (QP) problem arising during constrained predictive control. However, coding and implementation of this solution may be more burdensome than simply solving the original QP. This paper shows how interpolation can be used in conjunction with MPQP to achieve a large decrease in both the online computation and data storage requirements with negligible deterioration of performance. Extensive simulation results are given to back this claim and contrast the TWO proposed interpolation schemes.