Basic Implementation of Multiple-Interval Pseudospectral Methods to Solve Optimal Control Problems
Herber, Daniel Ronald
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https://hdl.handle.net/2142/77888
Description
Title
Basic Implementation of Multiple-Interval Pseudospectral Methods to Solve Optimal Control Problems
Author(s)
Herber, Daniel Ronald
Contributor(s)
Allison, James T.
Issue Date
2015-06-04
Keyword(s)
optimal control
direct transcription
matlab
optimization
pseudospectral methods
Abstract
A short discussion of optimal control methods is presented including indirect, direct shooting, and direct transcription methods. Next the basics of multiple-interval pseudospectral methods are given independent of the numerical scheme to highlight the fundamentals. The two numerical schemes discussed are the Legendre pseudospectral method with LGL nodes and the Chebyshev pseudospectral method with CGL nodes. A brief comparison between time-marching direct transcription methods and pseudospectral direct transcription is presented. The canonical Bryson-Denham state-constrained double integrator optimal control problem is used as a test optimal control problem. The results from the case study demonstrate the effect of user's choice in mesh parameters and little difference between the two numerical pseudospectral schemes.
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