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Robust observer design for uncertain one‐sided Lipschitz systems with disturbances
Author(s) -
Nguyen Cuong M.,
Pathirana Pubudu N.,
Trinh Hieu
Publication year - 2017
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.3960
Subject(s) - lipschitz continuity , control theory (sociology) , observer (physics) , quadratic growth , nonlinear system , bounded function , mathematics , robust control , robustness (evolution) , computer science , mathematical optimization , control (management) , algorithm , mathematical analysis , artificial intelligence , biochemistry , chemistry , physics , quantum mechanics , gene
Summary In this paper, we study the robust observer design problem for a class of uncertain one‐sided Lipschitz systems with disturbances. Not only the system matrices but also the nonlinear functions are assumed to be uncertain. The nominal models of nonlinearities are assumed to satisfy both the one‐sided Lipschitz condition and the quadratically inner‐bounded condition. By utilizing a novel approach, our observer designs are robust against unknown nonlinear uncertainties and system and measurement noises. The new approach also relaxes some conservativeness in related existing results, ie, less conservative observer design conditions are obtained. Furthermore, the problem of designing reduced‐order observers is considered in case the output measurement is not subject to uncertainty and disturbance. Two examples are provided to show the efficiency and advantages of our results over existing works.