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Integral partitioning approach to robust stabilization for uncertain distributed time‐delay systems
Author(s) -
Feng Zhiguang,
Lam James
Publication year - 2012
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.1724
Subject(s) - control theory (sociology) , stability (learning theory) , computer science , controller (irrigation) , linear matrix inequality , full state feedback , robust control , linear system , stability criterion , matrix (chemical analysis) , mathematical optimization , mathematics , control (management) , control system , engineering , statistics , materials science , electrical engineering , discrete time and continuous time , machine learning , artificial intelligence , agronomy , composite material , biology , mathematical analysis
SUMMARY In this paper, the problems of robust delay‐dependent stability analysis and stabilization are investigated for distributed delay systems with linear fractional uncertainties. By introducing an integral partitioning technique, a new form of Lyapunov functional is constructed and improved distributed delay‐dependent stability conditions are established in terms of linear matrix inequalities. Based on the criterion, a design algorithm for a state‐feedback controller is proposed. Following similar lines, we extend these results to uncertain distributed delay systems. The results developed in this paper can tolerate larger allowable delay than existing ones in the literature, which is illustrated by several examples. Copyright © 2011 John Wiley & Sons, Ltd.