针对网络化群体的一致性问题给出了状态反馈H∞控制器存在的条件.通过状态分解将系统状态进行适当的分解,在此基础上结合线性矩阵不等式理论、鲁棒控制理论给出了设计H∞控制器的方法.所设计的H∞控制器可使设计后的离散群体状态达到一致,并使系统状态不一致部分为Lyapunov渐进稳定,同时满足H∞控制性能.仿真表明所得结论的正确性和有效性.
Aimed at consensus of discrete-time swarm agents, the existence conditions of state feedback H∞ controller are proposed. Criteria for H∞ controllers are obtained by variable decomposition based on the robust control theory and the linear matrix inequality theory. With the designed H∞ control law, the system states achieve consensus, and the non-consensus part is Lyapunov stable, meeting the H∞ performance disturbance attenuation. Simulation results show validity and effectiveness of the method.