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Output feedback stabilization for discrete singular systems with random abrupt changes
Author(s) -
Wu Zhengguang,
Su Hongye,
Chu Jian
Publication year - 2009
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.1560
Subject(s) - control theory (sociology) , output feedback , mathematics , controller (irrigation) , discrete time and continuous time , jump , linear matrix inequality , full state feedback , mode (computer interface) , feedback control , matrix (chemical analysis) , control (management) , computer science , mathematical optimization , engineering , control engineering , statistics , physics , materials science , quantum mechanics , artificial intelligence , agronomy , composite material , biology , operating system
The problem of static output feedback control is investigated for discrete singular systems with Markovian jump. Two necessary and sufficient conditions for the discrete singular Markovian jump system to be regular, causal and stochastically stable are proposed in terms of linear matrix inequality (LMI) approach. Two kinds of design methods of the desired mode‐independent static output feedback controller are given. The explicit expressions for the desired controller are also given. Numerical examples are proposed to show the validness of the developed results. Copyright © 2009 John Wiley & Sons, Ltd.