4.7 Article

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

Journal

FRACTAL AND FRACTIONAL
Volume 6, Issue 5, Pages -

Publisher

MDPI
DOI: 10.3390/fractalfract6050235

Keywords

multi-AUV; fractional calculus; countermeasure; game theory

Funding

  1. Shenzhen Science and Technology Program [JCYJ20210324122010027]
  2. Guangdong Basic and Applied Basic Research Foundation [2019A1515111073]
  3. Science and Development Program of Local Lead by Central Government, Shenzhen Science and Technology Innovation Committee [2021Szvup111]
  4. National Natural Science Foundation of China [52001259, 11902252, 51979229]
  5. Young Talent fund of University Association for Science and Technology in Shaanxi, China [20200502]

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This paper proposes a multi-AUV dynamic maneuver countermeasure algorithm based on interval information game theory and fractional-order Differential Evolution (DE) to address the challenges posed by the instability of the underwater environment and underwater communication. By establishing advantage function, payoff matrix and Nash equilibrium condition, and utilizing the fractional-order DE algorithm to determine the optimal strategy, the superiority of the algorithm is verified through an example.
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.

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