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A BMI approach to guaranteed cost control of discrete‐time uncertain system with both state and input delays
Author(s) -
Zhou Xiaojun,
Dong Tianxue,
Tang Xiaolin,
Yang Chunhua,
Gui Weihua
Publication year - 2014
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.2138
Subject(s) - control theory (sociology) , mathematical optimization , solver , state (computer science) , bilinear interpolation , discrete time and continuous time , linear matrix inequality , controller (irrigation) , mathematics , matrix (chemical analysis) , cost control , state space , control (management) , computer science , optimization problem , algorithm , statistics , materials science , artificial intelligence , agronomy , composite material , biology
Summary In this study, the guaranteed cost control of discrete time uncertain system with both state and input delays is considered. Sufficient conditions for the existence of a memoryless state feedback guaranteed cost control law are given in the bilinear matrix inequality form, which needs much less auxiliary matrix variables and storage space. Furthermore, the design of guaranteed cost controller is reformulated as an optimization problem with a linear objective function, bilinear, and linear matrix inequalities constraints. A nonlinear semi‐definite optimization solver—PENLAB is used as a solution technique. A numerical example is given to demonstrate the effectiveness of the proposed method. Copyright © 2014 John Wiley & Sons, Ltd.