关于组合系统的分散H_∞控制

Decentralized H_∞-Control for Composite Systems

本文考虑线性组合系统的分散状态反馈Ｈ∞控制问题．以Ｒｉｃｃａｔｉ－ｌｉｋｅ方程半正定解的术语给出了一个使得给定的组合系统稳定并且对于扰抑制保证一个Ｈ∞界限制的分散状态反馈控制设计．对具有对称循环结构的组合系统，得到一个简单的分散控制设计程序．作为一个应用，对一族线性系统的同时Ｈ∞控制问题的可解性导出了一个充分条件．

This paper is concerned with the problem of decentralized H∞-control design via state feedback for linear composite systems.A decentralized state feedback control design which stabilizes a given composite system and guarantees an H∞-norm bound constraint on disturbance attenuation is presented in terms of a positive semi-definite solution to Riccati-like equation.For the composite systems with symmetric circulant structure,a simple decentralized control design procedure is obtained.As an application,a sufficient condition for solvability of simultaneous H∞-control problem for a collection of linear systems is derived.