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Improved exponential observer design for one‐sided Lipschitz nonlinear systems
Author(s) -
Zhang Wei,
Su Housheng,
Zhu Fanglai,
Bhattacharyya Shankar P.
Publication year - 2016
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.3543
Subject(s) - lipschitz continuity , observer (physics) , control theory (sociology) , nonlinear system , mathematics , quadratic growth , exponential function , bounded function , riccati equation , mathematical optimization , computer science , control (management) , differential equation , mathematical analysis , physics , quantum mechanics , artificial intelligence
Summary This paper investigates the exponential observer design problem for one‐sided Lipschitz nonlinear systems. A unified framework for designing both full‐order and reduced‐order exponential state observers is proposed. The developed design approach requires neither scaling of the one‐sided Lipschitz constant nor the additional quadratically inner‐bounded condition. It is shown that the synthesis conditions established include some known existing results as special cases and can reduce the intrinsic conservatism. For design purposes, we also formulate the observer synthesis conditions in a tractable LMI form or a Riccati‐type inequality with equality constraints. Simulation results on a numerical example are given to illustrate the advantages and effectiveness of the proposed design scheme. Copyright © 2016 John Wiley & Sons, Ltd.