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A dual‐observer design for global output feedback stabilization of nonlinear systems with low‐order and high‐order nonlinearities
Author(s) -
Li Ji,
Qian Chunjiang,
Frye Michael T.
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.1401
Subject(s) - observer (physics) , dual (grammatical number) , control theory (sociology) , nonlinear system , state observer , order (exchange) , bounded function , controller (irrigation) , computer science , feedback control , control (management) , homogeneous , mathematics , control engineering , engineering , economics , artificial intelligence , physics , combinatorics , art , mathematical analysis , literature , finance , quantum mechanics , agronomy , biology
This paper employs a dual‐observer design to solve the problem of global output feedback stabilization for a class of nonlinear systems whose nonlinearities are bounded by both low‐order and high‐order terms. We show that the dual‐observer comprised of two individual homogeneous observers, can be implemented together to estimate low‐order and high‐order states in parallel. The proposed dual observer, together with a state feedback controller, which has both low‐order and high‐order terms, will lead to a new result combining and generalizing two recent results (Li J, Qian C. Proceedings of the 2005 IEEE Conference on Decision and Control , 2005; 2652–2657) and (Qian C. Proceedings of the 2005 American Control Conference , June 2005; 4708–4715). Copyright © 2008 John Wiley & Sons, Ltd.