论文标题
简单杆的近似 - 第二部分：超出有限脉冲响应的系统水平合成
Approximation by Simple Poles -- Part II: System Level Synthesis Beyond Finite Impulse Response
论文作者
论文摘要
在第一部分中，基于简单极点近似，开发了一种用于耐力空间中传递函数有限尺寸近似的新型galerkin型方法。在第二部分中，该近似值应用于系统级合成，这是一种基于巧妙的重新聚体化的最新方法，以开发一种新技术来进行最佳控制设计。为了解决系统水平的综合问题，先前的工作依赖于有限的脉冲响应近似，从而导致了致命的控制，并且可以经历不可行和次级次要性的增加，尤其是在时间尺度分离较大的系统中。新的设计方法不会导致致命控制，凸面和可行，总是可行的，可以融合先验知识，并且适用于时间尺度较大的系统。根据杆选择的几何形状，次优率具有收敛速率。一个示例证明了该方法的卓越性能。
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.
