https://murray.cds.caltech.edu/index.php?action=history&feed=atom&title=Discrete_Function_Approximation%3A_Numerical_Tools_for_Nonlinear_Control 2026-04-26T00:56:40Z Revision history for this page on the wiki MediaWiki 1.41.5 https://murray.cds.caltech.edu/index.php?title=Discrete_Function_Approximation:_Numerical_Tools_for_Nonlinear_Control&diff=19994&oldid=prev 2016-05-15T06:19:47Z

<p>htdb2wiki: creating page for 1998d_rm98-cdc.html</p> <p><b>New page</b></p><div>{{HTDB paper<br /> | authors = Muruhan Rathinam and Richard Murray<br /> | title = Discrete Function Approximation: Numerical Tools for Nonlinear Control<br /> | source = 1998 Conference on Decision and Control<br /> | year = 1998<br /> | type = Conference Paper<br /> | funding = AFOSR<br /> | url = http://www.cds.caltech.edu/~murray/preprints/rm98-cdc.pdf<br /> | abstract = We describe a method for discrete representation of continuous functions and show how<br /> this may be used for typical computations in nonlinear control desi gn. The method<br /> involves representing functions by their values and finitely many derivatives at discrete<br /> set of points on the domain. We propose a grid structure based on a hierarchy of<br /> rectangular boxes that provides flexibility in placing grid points densely in some regions<br /> and sparsely in the other. The grids possess enough structure to facilitate easy<br /> interpolation schemes based on piecewise polynomials. We illustrate the method using a<br /> simple example where we compute the feedback linearizing output of a system. <br /> | flags = <br /> | filetype = PDF, 7 pages<br /> | filesize = 218K<br /> | tag = rm98-cdc<br /> | id = 1998d<br /> }}</div>

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