Consensus-Based Control for a Network of Diffusion PDEs With Boundary Local Interaction
Consensus-Based Control for a Network of Diffusion PDEs With Boundary Local Interaction
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DOI：
10.1109/tac.2015.2506990
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发表时间：
2015-09
影响因子：
6.8
通讯作者：
A. Pilloni;A. Pisano;Y. Orlov;E. Usai
中科院分区：
文献类型：
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作者：
A. Pilloni;A. Pisano;Y. Orlov;E. Usai
在本技术说明中，解决了由边界控制的热方程建模的相同代理网络的状态向共同的稳态分布的问题。去中心化共识协议被提出来解决两个不同的问题。第一个问题是，所有代理的状态转向相同的恒定稳态配置文件，对应于代理初始条件的空间平均值。第二个问题处理的情况下，控制边界的代理动态被破坏的添加剂持续干扰。为了实现智能体之间的同步，同时完全拒绝边界扰动的影响，提出了一种基于非线性滑模一致性协议。仿真结果支持所提出的算法的有效性。
In this technical note the problem of driving the state of a network of identical agents, modeled by boundary-controlled heat equations, towards a common steady-state profile is addressed. Decentralized consensus protocols are proposed to address two distinct problems. The first problem is that of steering the states of all agents towards the same constant steady-state profile which corresponds to the spatial average of the agents initial condition. The second problem deals with the case where the controlled boundaries of the agents dynamics are corrupted by additive persistent disturbances. To achieve synchronization between agents, while completely rejecting the effect of the boundary disturbances, a nonlinear sliding-mode based consensus protocol is proposed. Simulation results are presented to support the effectiveness of the proposed algorithms.