SHI Guangpu. Multi-Pursuer and Single-Evader Model of UAVs Based on Semi-direct Method[J]. Electronics Optics & Control, 2021, 28(8): 48
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This paper introduces a novel method that solves the Multi-Pursuer and Single-Evader (MPSE) UAV confrontation problem based on the semi-direct method.Firstlythe theory of the semi-direct method is introduced.In this methodcalculus of variations is used to convert the bilateral optimization problem into a unilateral optimization problemwhich is then converted into a nonlinear programming problem by using Legendre pseudo-spectrum method.The mathematical models of the two sides of the MPSE problem are establishedthe objective functions of the two sides are givenand then the optimal flight path is obtained by using the semi-direct method.Secondlyin Matlab programming environmentthe Snopt tool kit is used for numerical simulationwhich proves the correctnesseffectiveness and rapidity of the algorithm.Finallythe traditional proportional navigation method is used for comparisonwhich verifies the applicability and interoperability of the algorithm.