Student Support for Research in Hierarchical Control and Trajectory Planning
| Autor: | Martin, Clyde F. |
|---|---|
| EAN: | 9781288916054 |
| Sachgruppe: | Soziologie |
| Sprache: | Englisch |
| Seitenzahl: | 80 |
| Produktart: | Kartoniert / Broschiert |
| Herausgeber: | National Aeronautics And Space Administr |
| Veröffentlichungsdatum: | 13.03.2013 |
| Schlagworte: | Education / Teaching |
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Generally, classical polynomial splines tend to exhibit unwanted undulations. In this work, we discuss a technique, based on control principles, for eliminating these undulations and increasing the smoothness properties of the spline interpolants. We give a generalization of the classical polynomial splines and show that this generalization is, in fact, a family of splines that covers the broad spectrum of polynomial, trigonometric and exponential splines. A particular element in this family is determined by the appropriate control data. It is shown that this technique is easy to implement. Several numerical and curve-fitting examples are given to illustrate the advantages of this technique over the classical approach. Finally, we discuss the convergence properties of the interpolant.
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