论文标题
扩展的完整块S-Procedure用于互连系统的分布式控制
Extended Full Block S-Procedure for Distributed Control of Interconnected Systems
论文作者
论文摘要
本文提出了一种新的方法，用于分布式控制器合成由相同子系统组成的均匀互连系统。设计控制器的目的是最大程度地减少性能渠道的L2获得。所提出的方法是整个块S-Procedure（FBSP）的扩展公式，我们引入了一组额外的变量。这允许放松在Lyapunov和分布式控制设计所需的乘数矩阵上的块 - 二角结构假设，从而降低了保守主义W.R.T大多数现有方法。我们展示了如何将所提出的扩展FBSP分解为一个单个子系统大小的小合成条件。
This paper proposes a novel method for distributed controller synthesis of homogeneous interconnected systems consisting of identical subsystems. The objective of the designed controller is to minimize the L2-gain of the performance channel. The proposed method is an extended formulation of the Full Block S-Procedure (FBSP) where we introduce an additional set of variables. This allows relaxing the block-diagonal structural assumptions on the Lyapunov and multiplier matrices required for distributed control design, which reduces conservatism w.r.t most existing approaches. We show how to decompose the proposed extended FBSP into small synthesis conditions, of the size of one individual subsystem.
