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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 rm98-cdc  +
Title Discrete Function Approximation: Numerical Tools for Nonlinear Control +
Type Conference Paper  +
Categories Papers
Modification date
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15 May 2016 06:19:47  +
URL
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http://www.cds.caltech.edu/~murray/preprints/rm98-cdc.pdf  +
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