Trajectory tracking in networks of linear systems

Trajectory tracking in networks of linear systems
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DOI:
10.1016/j.automatica.2020.109326
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发表时间:
2021
期刊:
Autom.
影响因子:
--
通讯作者:
Kai Schenk;Marc Wissing;J. Lunze
Kai Schenk;Marc Wissing;J. Lunze
中科院分区:
其他
文献类型:
--
作者:
Kai Schenk;Marc Wissing;J. Lunze

文献摘要

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提出了一种线性关联系统轨迹跟踪的控制方法。通过修改各个子系统的参考信号来考虑所有子系统之间的物理耦合。针对改进后的隔离系统设计了前馈控制器。这种求解方法产生了一组微分代数方程,其解依赖于子系统的不变零点。控制器的设计只需一个通信步骤即可实现相邻子系统之间的信息交换。本文的主要结果是将系统内部动力学表示为微分-代数方程,得到了跟踪平坦输出与原始子系统输出之间的关系,并证明了所提出的网络控制器保证了轨迹跟踪。
This paper proposes a control method for trajectory tracking in interconnected linear systems. The physical couplings among all subsystems are considered by a modification of the reference signals of the individual subsystems. Feedforward controllers are designed for the modified isolated systems. This way of solution leads to a set of differential–algebraic equations whose solution depends on the invariant zeros of the subsystems. The design of the controllers needs only a single communication step for the information exchange between neighboring subsystems. The main results of the paper are a new representation of the internal dynamics as differential–algebraic equations that lead to a relation between the tracked flat output and the original subsystem output and the proof that the proposed networked controllers ensure trajectory tracking.