Energy-efficient flocking with nonlinear navigational feedback

被引:0
|
作者
Dykhovychnyi, Oleksandr [1 ]
Panchenko, Alexander [1 ]
机构
[1] Washington State Univ, Dept Math & Stat, Pullman, WA 99164 USA
关键词
Multi-agent system; Flocking; Trajectory tracking; Dissipativity; Nonlinear control; 2ND-ORDER MULTIAGENT SYSTEMS; SWARM ROBOTICS; SEDIMENTATION EQUILIBRIUM; FISH SCHOOLS; ALGORITHMS; DYNAMICS; ORDER;
D O I
10.1007/s11071-024-10527-9
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
Modeling collective motion in multi-agent systems has gained significant attention. Of particular interest are sufficient conditions for flocking dynamics. We present a generalization of the multi-agent model from Olfati-Saber, R (IEEE Trans Autom Control 51:401-420, 2006) with nonlinear navigational feedback forces. Unlike the original model, ours is not generally dissipative and lacks an obvious Lyapunov function. We address this by proposing a method to prove the existence of an attractor without relying on LaSalle's principle. Other contributions are as follows. We prove that, under mild conditions, agents' velocities approach the center of mass velocity exponentially, with the distance between the center of mass and the virtual leader being bounded. In the dissipative case, we show existence of a broad class of nonlinear control forces for which the attractor does not contain periodic trajectories, which cannot be ruled out by LaSalle's principle. Finally, we conduct a computational investigation of the problem of reducing propulsion energy consumption by selecting appropriate navigational feedback forces.
引用
收藏
页码:5725 / 5753
页数:29
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