A new approach for solving anti-jamming games in stochastic scenarios as pursuit-evasion games

Parras, Juan; Val, Jorge del; Zazo, Santiago; Zazo, Javier; Macua, Sergio Valcárcel

doi:10.1109/ssp.2016.7551804

Cited by 7 publications

(7 citation statements)

References 13 publications

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“…This work also expands a previous one [18]. In both works, we study the case in which there is one UAV trying to communicate with receiver nodes while another UAV…”

Section: Introductionmentioning

confidence: 81%

“…If the random variables S i are considered to be independent and identically distributed (i.i.d. ), assuming that receivers follow a uniform distribution over a square region in the interval [ −D, D] in coordinates X and Y and assuming that this square region is much larger than the zone in which UAVs move and also much larger than , as it is shown in [18], the expression in Eq. (16) is approximated as:…”

Section: Capacity Approximationmentioning

confidence: 99%

“…We have already posed and solved this game in [18] using Isaacs' equations. The optimal control and trajectories obtained depend on the final conditions of the game.…”

Section: Game Solutionmentioning

confidence: 99%

“…Hence, both optimal controls are constant and equal to both players.The same solution is obtained in the original setup [8, p. 109], though the dynamics are different in this setup. Finally, the optimal trajectories were obtained in [18]: …”

Section: Game Solutionmentioning

confidence: 99%

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Pursuit-evasion games: a tractable framework for antijamming games in aerial attacks

Parras

Zazo

Val

et al. 2017

J Wireless Com Network

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We solve a communication problem between a UAV and a set of receivers, in the presence of a jamming UAV, using differential game theory tools. We propose a new approach in which this kind of games can be approximated as pursuit-evasion games. The problem is posed in terms of optimizing capacity, and it is solved in two ways: firstly, a surrogate function approach is used to approximate it as a pursuit-evasion game; secondly, the game is solved without that approximation. In both cases, Isaacs equations are used to find the solution. Finally, both approaches are compared in terms of relative distance and complexity.

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“…This work also expands a previous one [18]. In both works, we study the case in which there is one UAV trying to communicate with receiver nodes while another UAV…”

Section: Introductionmentioning

confidence: 81%

Section: Capacity Approximationmentioning

confidence: 99%

“…We have already posed and solved this game in [18] using Isaacs' equations. The optimal control and trajectories obtained depend on the final conditions of the game.…”

Section: Game Solutionmentioning

confidence: 99%

Section: Game Solutionmentioning

confidence: 99%

See 2 more Smart Citations

Pursuit-evasion games: a tractable framework for antijamming games in aerial attacks

Parras

Zazo

Val

et al. 2017

J Wireless Com Network

Self Cite

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“…Remark 2: ϕ ( x ( t f ) , t f ) is introduced to deal with finite-horizon constraints, and ϕ ( x ( t f ) , t f ) is called a terminal cost, t f denotes the fixed final time. Different from the infinite-horizon scenario (Cavalieri et al, 2013; Jagat and Sinclair, 2017; Parras et al, 2016), the finite-horizon cost function V ( x , t ) is time-dependent.…”

Section: Problem Descriptionsmentioning

confidence: 99%

Adaptive periodic event-triggered control for missile-target interception system with finite-horizon convergence

Duan

Liu

Sun

2020

Transactions of the Institute of Measurement and Control

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In this paper, the optimal control problem for finite-time missile-target interception systems is posed in a finite-horizon two-player zero-sum (ZS) differential game framework using a periodic event-triggered (PET) scheme. To solve the optimal control problem, a time-varying Hamilton-Jacobi-Issac (HJI) equation and a time-dependent cost function are constructed to deal with finite-horizon constraints, and an event-based periodic adaptive dynamic programming (ADP) algorithm is employed to find the Nash equilibrium solution for the designed HJI equation. Comparing with the traditional continuous event-triggered (ET) scheme, the proposed PET scheme only verifies the event-triggered conditions at periodic sampling instants, which reduces resource consumption in monitoring and excludes the Zeno behavior. A single critic neural network (CNN) is used to implement the proposed event-based optimal control algorithm, which reduces approximate errors bust also simplifies structures. Further, an additional error term is added in the designed weight updating law to such that the terminal constraint is also minimized over time. By resorting to Lyapunov function approach, some sufficient conditions are derived to achieve the uniformly ultimately bounded (UUB) of the ET closed-loop system and the estimation weight error of CNN. Finally, a missile-target interception system is introduced to illustrate the efficiency of the presented methods.

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A Survey of Game Theory in Unmanned Aerial Vehicles Communications

Mkiramweni

Yang

et al. 2019

IEEE Commun. Surv. Tutorials

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A new approach for solving anti-jamming games in stochastic scenarios as pursuit-evasion games

Cited by 7 publications

References 13 publications

Pursuit-evasion games: a tractable framework for antijamming games in aerial attacks

Pursuit-evasion games: a tractable framework for antijamming games in aerial attacks

Adaptive periodic event-triggered control for missile-target interception system with finite-horizon convergence

A Survey of Game Theory in Unmanned Aerial Vehicles Communications

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