A new algorithm for constructing approximate transformations fornonlinear systems |
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Authors: | Hunt L.R. Turi J. |
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Affiliation: | Texas Univ., Dallas, Richardson, TX; |
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Abstract: | An algorithm is provided for constructing an approximating transformation for a feedback linearizable system, and for a system that is not feedback linearizable. Instead of approximating the given nonlinear system, the authors approximate the transformation in a proper sense. They assume that the lead variables of a transformation have a certain form with unknown parameters, substitute these variables into the required equations, and determine the unknown parameters through linear algebraic equations. There is a tremendous savings in terms of number of equations and unknowns, and it is sometimes possible to find exact (or best possible) transformations in a surprisingly small number of steps |
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