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In this brief, a formation control strategy is proposed for multiple elliptical agent systems. The multiple elliptical agents can form a predefined formation in any 2D space. The controller is based on the neighborhood of each agent and the optimal mapping decision for the whole group. The collision-free algorithm is built based on direction and distance of avoidance group of each agent. A novel adaptive random mapping algorithm is established to obtain the optimal mapping to enhance the effectiveness. Simulation results are given to illustrate the performance of the new control method developed.
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Liu et al. (2019) studied this question.
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