A Combined Linear-Quadratic/Bounded Controls Differential Game Guidance Law against Multiple Evaders

Vladimir Turetsky, Martin Weiss, Tal Shima

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

Abstract

A new guidance law is proposed, based on the solution of a combined Linear Quadratic Differential Game and Norm Bounded Differential Game involving a single pursuer and multiple evaders. It is assumed that the probabilities of choosing each of the evaders are known. The strategies after the decision time are based on the solution of Norm Bounded Differential Game yielding a performance index depending on the state at the decision time. A non-standard linear-quadratic differential game problem before the decision time is formulated that takes into account the average performance over all decision outcomes. The piecewise continuous solution of the Isaacs equation is derived. The game solution is visualized for the case of two evaders. Numerical simulation results are presented.

Original languageEnglish
Title of host publicationIACAS 2022 - 61st Israel Annual Conference on Aerospace Science
ISBN (Electronic)9781713862253
StatePublished - 2022
Event61st Israel Annual Conference on Aerospace Science, IACAS 2022 - Haifa, Israel
Duration: 9 Mar 202210 Mar 2022

Publication series

NameIACAS 2022 - 61st Israel Annual Conference on Aerospace Science

Conference

Conference61st Israel Annual Conference on Aerospace Science, IACAS 2022
Country/TerritoryIsrael
CityHaifa
Period9/03/2210/03/22

All Science Journal Classification (ASJC) codes

  • Aerospace Engineering

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