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离散网络化群体系统一致性H_∞控制

H_∞ Control for Consensus of Discrete-Time Networked Swarm Agents
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摘要 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.
作者 李向舜 方华京
机构地区 华中科技大学控制科学与工程系 武汉理工大学自动化学院
出处 《应用科学学报》 CAS CSCD 北大核心 2009年第5期525-531,共7页 Journal of Applied Sciences
基金 国家自然科学基金(No.60574088 No.60874053)资助项目
关键词 一致性问题 状态反馈 H∞控制 群体系统 consensus, state feedback, H∞ control, swarm system
分类号 TP11 [自动化与计算机技术—控制理论与控制工程]
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参考文献10

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应用科学学报
2009年 第5期

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