NDLI: Real-time robust and adaptive solutions to zero finding problems with uncertainty

Content Provider	IEEE Xplore Digital Library
Author	Noroozi, N. Karimaghaee, P. Safavi, A.A. Bhaya, A.
Copyright Year	2009
Description	Author affiliation: School of Electrical and Computer Engineering, Shiraz University, IRAN (Noroozi, N.; Karimaghaee, P.; Safavi, A.A.) \|\| Dept. of Electrical Engineering, COPPE, Federal University of Rio de Janeiro, P.O. Box 68504, 21945-970, BRAZIL (Bhaya, A.)
Abstract	This paper proposes extensions to a recent control Liapunov function (CLF) based method for designing dynamical systems with trajectories that converge to the zeros of a nonlinear vector function f . Specifically, the CLF design method is extended to the case when the Jacobian of the vector function can be decomposed into a known part and a partially known part, for which certain norm bounds are known. The extension of existing zero finding methods to this setting allows the consideration of functions which have singular Jacobians as well as the underdetermined case of a nonlinear system of equations in which there are more unknowns than equations. It is shown through simulation examples that methods that use dynamical systems that correspond to first order ordinary differential equations (ODEs) are less effective than those which use second order ODEs.
Starting Page	109
Ending Page	114
File Size	1118479
Page Count	6
File Format	PDF
ISBN	9781424438716
ISSN	01912216
DOI	10.1109/CDC.2009.5400043
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2009-12-15
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Robustness Uncertainty Observers Stability Finite element methods Numerical simulation State estimation Feedback Control systems Nonlinear systems
Content Type	Text
Resource Type	Article

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4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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