Linear Generalised Model Predictive Control to Avoid Input Saturation through Matrix Conditions

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The goal of this contribution is presenting a Theorem which states the stability of a feedback controlled system with a Linear Generalized Model Predictive Control (LGMPC). Concerning the stability, a sufficient and constructive condition on the weight matrices of the cost function used in the optimization problem in LGMPC for one step prediction horizon is demonstrated. The condition consists of a lower bound for one of these matrices. The obtained condition is explained and discussed by means of some physical considerations. The second part of this contribution is devoted to the saturation case and proves a sufficient condition for obtaining stability and saturation avoidance. Two case studies are shown using computer simulations at the end of the paper.
Original languageEnglish
Article number35
JournalWSEAS Transactions on Systems
Volume16
Pages (from-to)313-322
Number of pages10
ISSN1109-2777
Publication statusPublished - 2017

    Research areas

  • Engineering - Model predictive control, Optimization, Matrix algebra, Discrete systems, Linear systems, Applications

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