Mesh refinement in direct transcription methods for optimal control

✍ Scribed by John T. Betts; William P. Huffman

• Publisher: John Wiley and Sons
• Year: 1998
• Tongue: English
• Weight: 357 KB
• Volume: 19
• Category: Article
• ISSN: 0143-2087
• DOI: 10.1002/(sici)1099-1514(199801/02)19:1<1::aid-oca616>3.0.co;2-q

✦ Synopsis

The direct transcription method for solving optimal control problems involves the use of a discrete approximation to the original problem. This paper describes a technique for changing the discretization in order to improve the accuracy of the approximation. An integer programming technique is used to minimize the maximum error during the refinement iterations. The efficiency of the method is illustrated for an application with path inequality constraints.