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Fault estimation for a class of nonlinear semi‐Markovian jump systems with partly unknown transition rates and output quantization
Author(s) -
Liang Hongjing,
Zhang Linchuang,
Karimi Hamid Reza,
Zhou Qi
Publication year - 2018
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.4353
Subject(s) - nonlinear system , control theory (sociology) , lipschitz continuity , quantization (signal processing) , transition rate matrix , mathematics , estimator , jump , computer science , algorithm , mathematical analysis , control (management) , statistics , quantum mechanics , physics , artificial intelligence
Summary This paper studies the fault estimation problem for a class of nonlinear semi‐Markovian jump systems with partly unknown transition rates and output quantization. Firstly, a mode‐dependent intermediate variable is designed, which constructs an intermediate estimator to estimate fault signals of system. Secondly, the partly unknown transition rates and output quantization are considered and the sufficient conditions of stability for the error system are given in three cases by linear matrix inequalities. Moreover, the proposed nonlinear function satisfies Lipschitz condition, which can be employed in a multitude of practical systems. Finally, simulation results are provided to illustrate the effectiveness of the proposed theoretical results.