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Distributed Adaptive Consensus Output Regulation of Network-Connected Heterogeneous Unknown Linear Systems on Directed Graphs

机译:有向图上网络连接的异构线性系统的分布式自适应共识输出调节

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摘要

This technical note deals with output regulation of network connected linear systems under directed connection graphs. The subsystem dynamics are unknown and heterogeneous. The desired output signal, generated by a linear exosystem, is only available to some subsystems, and the others will estimate the exosystem state through the network connections for obtaining regulation errors. The exosystem is parametrised in a specific form such that it has a skew-symmetric system matrix, whose property is further explored in the estimation of exosystem state, and in the estimation of the desired feed-forward control inputs for output regulation. The unknown subsystem parameters are dealt with by the adaptive laws, driven by the estimated regulation errors. The proposed adaptive control strategy is fully distributed, in the sense that the control design only uses the information in the connected neighbourhood, without reference to the eigenstructure of the associated Laplacian matrix, as long as the connection graph is strongly connected.
机译:本技术说明根据有向连接图处理网络连接线性系统的输出调节。子系统动力学是未知的并且是异构的。由线性外部系统生成的所需输出信号仅对某些子系统可用,而其他子系统将通过网络连接估计外部系统状态以获得调节误差。外系统以特定形式进行参数设置,以使其具有一个偏斜对称的系统矩阵,该系统的性质将在外系统状态的估计以及对用于输出调节的所需前馈控制输入的估计中得到进一步探讨。子系统的未知参数由自适应定律处理,并由估计的调节误差驱动。在控制设计仅使用所连接邻域中的信息的情况下,只要不严格关联连接的拉普拉斯矩阵的本征结构,就可以完全分布式地提出所提出的自适应控制策略。

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