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Semi‐global finite‐time observers for multi‐output nonlinear systems
Author(s) -
Shen Yanjun,
Shen Weimin,
Jiang Minhui,
Huang Yuehua
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.1471
Subject(s) - observability , uniqueness , nonlinear system , control theory (sociology) , homogeneity (statistics) , stability (learning theory) , mathematics , computer science , mathematical analysis , control (management) , physics , statistics , quantum mechanics , artificial intelligence , machine learning
Finite‐time stability is investigated for nonlinear systems, which satisfy uniqueness of solution. First, a new sufficient condition for local finite‐time stability is presented. Next, by using the high‐gain observers and carefully selecting the homogeneity powers and weights, the problem of semi‐global and finite‐time stable observers is studied for multi‐output nonlinear systems with uniform observability and a triangular structure. Then, a design procedure is worked out for such observers. Finally, two numerical examples further verify the validity of the proposed approach. Copyright © 2009 John Wiley & Sons, Ltd.