Minimum-Effort Guidance Using Quadratic Kinematics Approximation

Gleb Merkulov, Martin Weiss, Tal Shima

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

Abstract

A guidance law for intercepting a stationary target is derived based on solving the minimum effort optimal control problem with fixed time and a quadratic approximation of the kinematic equations. It is proven that this optimal control problem has, in general, a unique solution. Based on this solution, a guidance law is proposed that is shown to be implementable based on typically available sensor data, using a semi-analytic procedure. Numerical simulations show that the solution based on the second-order approximate kinematics matches closely the solution based on the original nonlinear kinematics that can only be obtained by numerical optimization.

Original languageEnglish
Title of host publicationAIAA SciTech Forum 2022
DOIs
StatePublished - 2022
EventAIAA Science and Technology Forum and Exposition, AIAA SciTech Forum 2022 - San Diego, United States
Duration: 3 Jan 20227 Jan 2022

Publication series

NameAIAA Science and Technology Forum and Exposition, AIAA SciTech Forum 2022

Conference

ConferenceAIAA Science and Technology Forum and Exposition, AIAA SciTech Forum 2022
Country/TerritoryUnited States
CitySan Diego
Period3/01/227/01/22

All Science Journal Classification (ASJC) codes

  • Aerospace Engineering

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