Browse wiki
From MurrayWiki
Discrete Function Approximation: Numerical Tools for Nonlinear Control 
Abstract 
We describe a method for discrete represen … We describe a method for discrete representation of continuous functions and show how
this may be used for typical computations in nonlinear control desi gn. The method
involves representing functions by their values and finitely many derivatives at discrete
set of points on the domain. We propose a grid structure based on a hierarchy of
rectangular boxes that provides flexibility in placing grid points densely in some regions
and sparsely in the other. The grids possess enough structure to facilitate easy
interpolation schemes based on piecewise polynomials. We illustrate the method using a
simple example where we compute the feedback linearizing output of a system. e feedback linearizing output of a system. +


Authors  Muruhan Rathinam and Richard Murray + 
ID  1998d + 
Source  1998 Conference on Decision and Control + 
Tag  rm98cdc + 
Title  Discrete Function Approximation: Numerical Tools for Nonlinear Control + 
Type  Conference Paper + 
Categories  Papers 
Modification date This property is a special property in this wiki.

15 May 2016 06:19:47 + 
URL This property is a special property in this wiki.

http://www.cds.caltech.edu/~murray/preprints/rm98cdc.pdf + 
hide properties that link here 
Discrete Function Approximation: Numerical Tools for Nonlinear Control +  Title 
