Pseudospectral Optimal Control on Arbitrary Grids
Abstract
In advancing our prior work on a unified theory for pseudospectral (PS) optimal
control, we present new results for PS methods over arbitrary grids. These results
provide a way to compare performances among different PS methods and suggest
guidelines to choose the proper grids and discretization approaches for solving optimal
control problems. The new unified ideas reveal hidden properties of different
types of PS methods and pave the way to construct more efficient algorithms for
solving different types of optimal control problems. Our computational framework
is not based on any particular choice of orthogonal polynomials; therefore,
the approach unifies Legendre and Chebyshev PS methods under one framework.
Rights
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.NPS Report Number
AAS 09-405Collections
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