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New results on non‐fragile H ∞ controller design for uncertain linear systems
Author(s) -
Zhang Baoyong,
Xu Shengyuan,
Zhou Shaosheng,
Zong Guangdeng
Publication year - 2008
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.62
Subject(s) - quadratic growth , control theory (sociology) , controller (irrigation) , linear matrix inequality , linear system , norm (philosophy) , mathematics , linear control systems , parametric statistics , state (computer science) , control (management) , mathematical optimization , computer science , algorithm , law , mathematical analysis , statistics , artificial intelligence , political science , agronomy , biology
This paper deals with the non‐fragile H ∞ control problem for uncertain linear systems. The uncertainties are of a linear fractional form and appear in both the state and control input matrices. The purpose is to design a state feedback controller, which is subject to linear fractional parametric uncertainties, such that the resulting closed‐loop system is quadratically stable with an H ∞ norm bound. A sufficient condition for the solvability of the problem is obtained in terms of linear matrix inequalities. A numerical example is provided to demonstrate the effectiveness of the proposed design method. Copyright © 2008 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society