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Neural network based constrained optimal guidance for Mars entry vehicles

  • Beihang University
  • CAS - Institute of Automation

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

Abstract

In this paper, an approximate constrained optimal guidance law is proposed for Mars entry vehicles guidance. Firstly, the original guidance of Mars entry vehicle is transformed into a fixed-time optimal tracking control problem, which depends on the solution of the Hamilton-Jacobi-Bellman (HJB) equation. Considering the case the control input is constrained, a generalized non-quadratic performance index is defined. In general, the HJB equation is a nonlinear partial differential equation that is difficult or even impossible to be solved analytically. To overcome the difficulty, neural network (NN) is used to solve the HJB equation approximately. Subsequently, the Monte-Carlo integration method and Latin Hypercube Sampling (LHS) are introduced to compute the integrals on multi-dimensional domains. Finally, the Monte-Carlo simulation results on the Mars entry vehicle demonstrate the effectiveness of the proposed method.

Original languageEnglish
Title of host publicationProceedings of the 34th Chinese Control Conference, CCC 2015
EditorsQianchuan Zhao, Shirong Liu
PublisherIEEE Computer Society
Pages2440-2445
Number of pages6
ISBN (Electronic)9789881563897
DOIs
StatePublished - 11 Sep 2015
Event34th Chinese Control Conference, CCC 2015 - Hangzhou, China
Duration: 28 Jul 201530 Jul 2015

Publication series

NameChinese Control Conference, CCC
Volume2015-September
ISSN (Print)1934-1768
ISSN (Electronic)2161-2927

Conference

Conference34th Chinese Control Conference, CCC 2015
Country/TerritoryChina
CityHangzhou
Period28/07/1530/07/15

Keywords

  • Guidance
  • Hamilton-Jacobi-Bellman equation
  • Mars entry vehicle
  • Monte-Carlo integration
  • Neural network

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