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Robust stabilization for discrete‐time nonlinear singular systems with mixed time delays
Author(s) -
Li Jianning,
Su Hongye,
Wu Zhengguang,
Chu Jian
Publication year - 2012
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.422
Subject(s) - discrete time and continuous time , control theory (sociology) , nonlinear system , linear matrix inequality , controller (irrigation) , mathematics , stability (learning theory) , stability theory , interval (graph theory) , matrix (chemical analysis) , state (computer science) , disturbance (geology) , computer science , control (management) , mathematical optimization , algorithm , statistics , artificial intelligence , composite material , paleontology , physics , materials science , quantum mechanics , machine learning , combinatorics , agronomy , biology
This paper investigates the robust stability of discrete‐time singular systems involving nonlinear disturbance and mixed time delays. The mixed time delays are comprised of both discrete and distributed delays. The interval of discrete time delays can be divided into several subintervals, firstly. Then, in terms of linear matrix inequality (LMI), a suitable state feedback controller is designed for discrete‐time singular systems with nonlinear disturbance and mixed time delays, and the overall closed‐loop system is regular, causal and mean square asymptotically stable. Numerical examples are provided to show the usefulness and effectiveness of the proposed methods, and the results derived from our approaches are less conservative than existing ones. Copyright © 2011 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society