非线性多智能体网络的分布式包容控制

Distributed Containment Control of Nonlinear Multi-Agent Networks

针对具有本质非线性动态的多智能体网络,研究分布式包容控制问题。假设只有部分个体已知领航者信息,依据相对位置和速度信息设计分布式控制律。基于代数图论、矩阵理论和Lyapunov稳定性分析方法,得出非线性网络实现渐近包容控制的充分条件。当跟随者之间有向强连通且每个跟随者都至少存在一个领航者与其通信,可选取合适的控制增益使得跟随者渐近收敛到由多个领航者所围成的静态凸包中。仿真实例验证了理论分析的正确性和有效性。

Distributed coordinated containment control problem is studied for multi-agent net- works with inherent nonlinear dynamics. Distributed control law is designed according to relative positions and velocities assuming that only a subset of agents know information of leaders. Suffi- cient conditions are developed to achieve asymptotic containment control based on algebraic graph theory, matrix theory and Lyapunov stability analysis method. Followers can be driven into sta- tionary convex hull asymptotically, which is formed by leaders with suitable control gain when followers are strongly connected and every follower communicate with a leader at least. At last two simulation examples are given to prove the correctness and validity of the theoretical analysis.