标题： 具有对称和Hurwitz状态矩阵的系统的最优分布式H-infinity状态反馈 显示英文标题

标题： Optimal Distributed H-infinity State Feedback for Systems with Symmetric and Hurwitz State Matrix

摘要： 我们解决H-无穷大结构静态状态反馈问题，并给出一种适用于具有对称和Hurwitz状态矩阵的线性时不变系统的最优控制律的简单形式。 更具体地说，给定状态和控制输入的单独代价，控制律以及范数的最小值都可以用系统状态空间表示中的矩阵来表示。 因此，控制律是透明的、易于综合且可扩展的。 此外，如果被控对象具有兼容的稀疏模式，则该控制律也是分布式的。 包括了此类稀疏模式的例子。 此外，我们给出了一个扩展的最优控制律，可以实现子系统之间的协调。 我们通过一个数值例子证明，推导出的最优控制器在性能上与通过Riccati方程方法推导出的最优控制器相当。 显示英文摘要

摘要： We address H-infinity structured static state feedback and give a simple form for an optimal control law applicable to linear time invariant systems with symmetric and Hurwitz state matrix. More specifically, the control law as well as the minimal value of the norm can be expressed in the matrices of the system's state space representation, given separate cost on state and control input. Thus, the control law is transparent, easy to synthesize and scalable. Furthermore, if the plant possess a compatible sparsity pattern it is also distributed. Examples of such sparsity patterns are included. Furthermore, we give an extension of the optimal control law that incorporate coordination among subsystems. We demonstrate by a numerical example that the derived optimal controller is equal in performance to an optimal controller derived by the riccati equation approach.