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Model predictive control for constrained systems with uncertain state‐delays
Author(s) -
Hu XiaoBing,
Chen WenHua
Publication year - 2004
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.963
Subject(s) - control theory (sociology) , model predictive control , linear matrix inequality , state (computer science) , lyapunov function , mathematical optimization , computer science , stability (learning theory) , upper and lower bounds , control (management) , mathematics , nonlinear system , algorithm , artificial intelligence , machine learning , mathematical analysis , physics , quantum mechanics
This paper presents a model predictive control (MPC) algorithm for a class of constrained linear systems with uncertain state‐delays. Based on a novel artificial Lyapunov function, a new stabilizing condition dependent of the upper bound of uncertain state‐delays is presented in an LMI (linear matrix inequality) form. The proposed MPC algorithm is developed by following the fashion of stability‐enforced scheme. The new algorithm is then extended to linear time varying (LTV) systems with multiple uncertain state‐delays. Numerical examples illustrate the effectiveness of the new algorithm. Copyright © 2004 John Wiley & Sons, Ltd.