Multiple-Interval Pseudospectral Method for Optimal Control Problem with Application to Trajectory Planning

  • Xinyi He
  • , Wenchao Xue*
  • , Ran Zhang
  • , Kun Zhang
  • , Chenggang Tao
  • *Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

In this paper, a class of optimal control problems with control input under constraints of multiple intervals is considered. The multiple interval pseudospectral based algorithm is proposed to obtain numerical solution. It is shown that the KKT conditions and continuous first order conditions are closely linked by discrete parameters. Moreover, we prove that the error between the discrete solution of NLP problem and continuous solution of an optimal control problem can be tuned by discrete parameters. The proposed method is applied to solve the typical aircraft trajectory planning problem. In order to conform to the actual operation instructions, the entire trajectory is divided into multiple intervals and control variables keep constant in every phase. The simulations demonstrate the effectiveness of proposed multiple-interval pseudospectral method.

Original languageEnglish
Title of host publicationProceedings of the 34th Chinese Control and Decision Conference, CCDC 2022
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages4451-4456
Number of pages6
ISBN (Electronic)9781665478960
DOIs
StatePublished - 2022
Event34th Chinese Control and Decision Conference, CCDC 2022 - Hefei, China
Duration: 15 Aug 202217 Aug 2022

Publication series

NameProceedings of the 34th Chinese Control and Decision Conference, CCDC 2022

Conference

Conference34th Chinese Control and Decision Conference, CCDC 2022
Country/TerritoryChina
CityHefei
Period15/08/2217/08/22

Keywords

  • multiple interval
  • optimal control
  • radau pseudospectral
  • singular bang-bang
  • trajectory planning

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