论文标题
局部和分布的H2状态反馈控制
Localized and Distributed H2 State Feedback Control
论文作者
论文摘要
分布式线性控制设计对于大规模的网络物理系统至关重要。通常希望对分布式控制器施加信息交换（通信）约束，并限制在不级联到全局网络（本地化）的情况下将干扰传播到局部区域的繁殖。最近提出的系统水平合成（SLS）理论提供了一个框架，可以在其中批准将这种通信和本地化要求纳入控制器设计和实现中。在这项工作中，我们得出了解决局部和分布的H2状态反馈控制问题的解决方案，而无需诉诸有限的脉冲响应（FIR）近似。我们提出的合成算法允许对所得凸程序进行列的分解，因此可扩展到任意大规模网络。我们通过数值模拟证明了所提出程序的成本性能和计算时间优于以前的方法。
Distributed linear control design is crucial for large-scale cyber-physical systems. It is generally desirable to both impose information exchange (communication) constraints on the distributed controller, and to limit the propagation of disturbances to a local region without cascading to the global network (localization). Recently proposed System Level Synthesis (SLS) theory provides a framework where such communication and localization requirements can be tractably incorporated in controller design and implementation. In this work, we derive a solution to the localized and distributed H2 state feedback control problem without resorting to Finite Impulse Response (FIR) approximation. Our proposed synthesis algorithm allows a column-wise decomposition of the resulting convex program, and is therefore scalable to arbitrary large-scale networks. We demonstrate superior cost performance and computation time of the proposed procedure over previous methods via numerical simulation.
