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Electrical Engineering and Systems Science > Systems and Control

arXiv:2209.09318 (eess)
[Submitted on 19 Sep 2022]

Title:Guarding a Non-Maneuverable Translating Line with an Attached Defender

Authors:Goutam Das, Michael Dorothy, Zachary I. Bell, Daigo Shishika
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Abstract:In this paper we consider a target-guarding differential game where the defender must protect a linearly translating line-segment by intercepting an attacker who tries to reach it. In contrast to common target-guarding problems, we assume that the defender is attached to the target and moves along with it. This assumption affects the defenders' maximum speed in inertial frame, which depends on the target's direction of motion. Zero-sum differential game of degree for both the attacker-win and defender-win scenarios are studied, where the payoff is defined to be the distance between the two agents at the time of game termination. We derive the equilibrium strategies and the Value function by leveraging the solution for the infinite-length target scenario. The zero-level set of this Value function provides the barrier surface that divides the state space into defender-win and attacker-win regions. We present simulation results to demonstrate the theoretical results.
Comments: 8 pages, 8 figures. arXiv admin note: text overlap with arXiv:2207.04098
Subjects: Systems and Control (eess.SY)
Cite as: arXiv:2209.09318 [eess.SY]
  (or arXiv:2209.09318v1 [eess.SY] for this version)
  https://doi.org/10.48550/arXiv.2209.09318

Submission history

From: Goutam Das [view email]
[v1] Mon, 19 Sep 2022 19:32:27 UTC (9,122 KB)
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