用简单极点逼近--II：超越有限脉冲响应的系统级综合
Approximation by Simple Poles -- Part II: System Level Synthesis Beyond Finite Impulse Response
摘要：
在第一部分中，基于简单极点逼近，发展了一种新的有限维近似传递函数的Galerkin型方法。在第二部分中，这种近似适用于系统级综合，最近的方法的基础上一个聪明的reparameterization，开发一种新的技术，最优控制设计。为了解决系统级的综合问题，以前的工作依赖于有限的脉冲响应近似，导致无差拍控制，并可能会遇到不可行性和次优性增加，特别是在系统的时间尺度大分离。新的设计方法不会导致无差拍控制，是凸的和易处理的，总是可行的，可以结合先验知识，并适用于大的时间尺度分离的系统。次优界的收敛速度取决于几何的极点选择。一个例子证明了该方法的优越性能。
英文摘要：
In Part I, a novel Galerkin-type method for finite dimensional approximations of transfer functions in Hardy space was developed based on approximation by simple poles. In Part II, this approximation is applied to system level synthesis, a recent approach based on a clever reparameterization, to develop a new technique for optimal control design. To solve system level synthesis problems, prior work relies on finite impulse response approximations that lead to deadbeat control, and that can experience infeasibility and increased suboptimality, especially in systems with large separation of time scales. The new design method does not result in deadbeat control, is convex and tractable, always feasible, can incorporate prior knowledge, and works well for systems with large separation of time scales. Suboptimality bounds with convergence rate depending on the geometry of the pole selection are provided. An example demonstrates superior performance of the method.
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