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Multi-AUV Dynamic Maneuver Countermeasure Algorithm Based on Interval Information Game and Fractional-Order DE

Lu Liu, Jian Wang, Lichuan Zhang, Shuo Zhang

2022Fractal and Fractional46 citationsDOIOpen Access PDF

Abstract

The instability of the underwater environment and underwater communication brings great challenges to the coordination and cooperation of the multi-Autonomous Underwater Vehicle (AUV). In this paper, a multi-AUV dynamic maneuver countermeasure algorithm is proposed based on the interval information game theory and fractional-order Differential Evolution (DE), in order to highlight the features of the underwater countermeasure. Firstly, an advantage function comprising the situation and energy efficiency advantages is proposed on account of the multi-AUV maneuver strategies. Then, the payoff matrix with interval information is established and the payment interval ranking is achieved based on relative entropy. Subsequently, the maneuver countermeasure model is presented along with the Nash equilibrium condition satisfying the interval information game. The fractional-order DE algorithm is applied for solving the established problem to determine the optimal strategy. Finally, the superiority of the proposed multi-AUV maneuver countermeasure algorithm is verified through an example.

Topics & Concepts

CountermeasureInterval (graph theory)Computer scienceStochastic gameMathematical optimizationGame theoryNash equilibriumAlgorithmUnderwaterEntropy (arrow of time)Order (exchange)Control theory (sociology)MathematicsArtificial intelligenceEngineeringMathematical economicsFinancePhysicsQuantum mechanicsAerospace engineeringCombinatoricsControl (management)OceanographyGeologyEconomicsUnderwater Vehicles and Communication SystemsDistributed Control Multi-Agent SystemsAdaptive Control of Nonlinear Systems
Multi-AUV Dynamic Maneuver Countermeasure Algorithm Based on Interval Information Game and Fractional-Order DE | Litcius