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Receding horizon control for discrete‐time multiple input delay systems
Author(s) -
Gao Rong,
Liu Xiaohua,
Zhang Huanshui
Publication year - 2017
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/oca.2322
Subject(s) - monotonic function , weighting , control theory (sociology) , controller (irrigation) , discrete time and continuous time , function (biology) , mathematics , horizon , optimal control , cost control , mathematical optimization , control (management) , matrix (chemical analysis) , computer science , medicine , mathematical analysis , statistics , materials science , geometry , artificial intelligence , evolutionary biology , biology , agronomy , composite material , radiology
Summary This paper is concerned with stabilization problem for discrete‐time systems with multiple input delay. By defining a new cost function, the stabilization condition is derived based on monotonically nonincreasing of the optimal cost. It is shown that if the 2 weighting matrices in the cost function satisfy the given linear matrix inequality, receding horizon controller can stabilize the input delay systems. Moreover, the explicit stabilization controller with the new cost function is obtained by solving a finite horizon optimal control problem. A numerical example illustrates the effectiveness of the proposed method.