Practical Consensus of Leader-following Multi-agent System With Unknown Coupling Weights
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摘要: 一致性理论在许多领域有广泛应用.现有很多研究成果是关于恒同一致的.在实际中，由于任何系统都会不可避免地受到一定的外界扰动，要求误差函数的极限等于0是难以做到的，但当时间充分大时误差函数在可接受区间内是可行的.本文首先给出多智能体系统的实用一致性概念，然后研究含未知耦合权重的一阶非线性领导-跟随多智能体系统的实用一致性问题.通过设计合适的控制协议，运用图论、矩阵理论和强实用稳定性理论，得到该多智能体系统实现实用一致性的充分条件.数值模拟验证了理论结果的正确性.Abstract: Consensus theory has been widely applied to many fields. Most of the research is on identical consensus. In many practical cases, it is impossible for agents to achieve identical consensus because any system has certain disturbance. In this case, it cannot be achieved that the limit of the error function is equal to 0, but it is feasible that the value of the error function is bounded within an interval if the time is sufficiently large. In this paper, the concept of practical consensus is given, then the problem of practical consensus in leader-following multi-agent systems with unknown coupling weights is investigated. By designing an appropriate control protocol and using graph theory, matrix theory and strong practical stability theory, a sufficient condition is given to realize practical consensus of the multi-agent system. Numerical simulations are given to verify the theoretical results.
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Key words:
- Multi-agent system /
- practical consensus /
- leader-following /
- strong practical stability
1) 本文责任编委 郭戈 -
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