Optimal control and numerical optimization for missile interception guidance

Leif Walter, Gunther Schloffel, Spilios Theodoulis, Philippe Wernert, Ekaterina Kostina, Florian Holzapfel

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

3 Scopus citations


Conventional guidance algorithms for exo-atmospheric missile interception, such as Proportional Navigation, provide guidance laws that are derived from conceptual heuristics where certain simplifications have to be made. Typically, these guidance laws have the disadvantage of not being able to fully take into account system and/or vehicle limitations such as maximum thrust. In this paper, optimal control and numerical optimization methods are used to provide a guidance scheme that may incorporate these critical constraints, while still ensuring a successful hit-to-kill interception of the target. Therein, a direct optimal control approach is deployed, based on multiple shooting and a sequential quadratic programming algorithm for solving the resulting nonlinear optimization problem. Numerical results for three distinctive transcription methods for deriving the nonlinear program are presented that illustrate the overall efficiency of numerical optimization as a guidance scheme.

Original languageEnglish
Title of host publication2014 European Control Conference, ECC 2014
PublisherInstitute of Electrical and Electronics Engineers Inc.
Number of pages7
ISBN (Electronic)9783952426913
StatePublished - 22 Jul 2014
Event13th European Control Conference, ECC 2014 - Strasbourg, France
Duration: 24 Jun 201427 Jun 2014

Publication series

Name2014 European Control Conference, ECC 2014


Conference13th European Control Conference, ECC 2014


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