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Bilinear matrix inequality approaches to robust guaranteed cost control for uncertain discrete‐time delay system
Author(s) -
Nian Xiaohong,
Sun Zhaomei,
Wang Haibo,
Zhang Hang,
Wang Xia
Publication year - 2012
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.2029
Subject(s) - discrete time and continuous time , mathematical optimization , control theory (sociology) , bilinear interpolation , robust control , linear matrix inequality , mathematics , upper and lower bounds , quadratic equation , cost control , computer science , optimal control , control (management) , control system , engineering , mathematical analysis , statistics , geometry , artificial intelligence , electrical engineering
SUMMARY The robust guaranteed cost control problem for uncertain discrete‐time delay system is considered in this paper. Sufficient conditions for the existence of the robust guaranteed cost controllers via memoryless state feedback and static output feedback are expressed as bilinear matrix inequality (BMI). Furthermore, the design methods of optimal robust guaranteed cost controllers, which minimize the upper bound of a given quadratic cost function are presented. Alternate iterative algorithms are proposed to solve the nonconvex optimization problems with BMI constrains. A numerical example is given to illustrate the effectiveness of the proposed methods.Copyright © 2012 John Wiley & Sons, Ltd.