DocumentCode :
2569202
Title :
Design of a robust nonlinear observer for the nonlinear Lipschitz uncertain systems
Author :
Zhao, Jin ; Shen, Zhongyu ; Ma, Baoping ; Gu, Xingsheng
Author_Institution :
Sch. of Electr.&Autom. Eng., Nanjing Normal Univ., Nanjing
fYear :
2008
fDate :
2-4 July 2008
Firstpage :
4540
Lastpage :
4545
Abstract :
A robust nonlinear observer for the Lispschitz nonlinear system with unknown input is addressed and designed. The sufficient existence conditions for asymptotic estimation convergence, which requires solving the nonlinear matrix inequalities, are derived and proved. Using by LMI approach, the existence conditions are then reformulated as the new sufficient existence conditions in the terms of an LMI. The advantage of these conditions based on LMI is that it enables us to design the presented the robust nonlinear observer using Matlab LMI toolbox and makes the difficult nonlinear observer design problem an easy task. A numerical example is included for illustration. The simulation results are presented to validate the approach and enhance the robustness for the system nonlinearity and uncertainty.
Keywords :
convergence; linear matrix inequalities; mathematics computing; nonlinear control systems; observers; robust control; uncertain systems; Matlab LMI toolbox; asymptotic estimation convergence; nonlinear Lipschitz uncertain systems; nonlinear matrix inequalities; robust nonlinear observer; Noise measurement; Observers; Research and development; Robustness; Signal design; State estimation; Sufficient conditions; Symmetric matrices; Uncertain systems; Uncertainty; LMI; Nonlinear Lipschitz uncertain systems; State estimation; The robust nonlinear observer;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Control and Decision Conference, 2008. CCDC 2008. Chinese
Conference_Location :
Yantai, Shandong
Print_ISBN :
978-1-4244-1733-9
Electronic_ISBN :
978-1-4244-1734-6
Type :
conf
DOI :
10.1109/CCDC.2008.4598189
Filename :
4598189
Link To Document :
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