带Leader的不确定高阶多智能体系统的L_2-L_∞一致

L-two-L-infinity consensus in uncertain high-order multi-agent systems with a leader

针对一类存在外部干扰,模型误差以及时滞的带Leader的高阶多智能体系统,利用L2-L∞方法研究了其一致性问题.首先给出了系统存在外部干扰和模型误差时的数学模型.然后针对有时滞和无时滞两种情况,利用Lyapunov函数的方法,分析了满足L2-L∞性能指标下的一致问题,分别得到了相应闭环系统达到一致的条件.最后,仿真结果验证了所得结果的有效性.

We use the method of L-two-L-infinity to investigate the consensus problem for a class of high-order multi- agent systems with a leader, under the condition of existing extemal disturbances, model errors and time-delay. The mathe- matical model is developed and the leader-following consensus with desired L-two-L-infinity performance is analyzed for networks with and without time-delay; thus, conditions for consensus of corresponding closed-loop systems are obtained respectively. Simulation results are provided to demonstrate the effectiveness of the proposed approach.