对带状态和输入延迟系统通过动态输出反馈实施H_∞控制(英文)  

H_∞ Control via Dynamic Output Feedback for Systems with State and Input Delay

作　　者：张必山[1] 

机构地区：[1]桂林电子科技大学数学与计算科学学院,桂林541004

出　　处：《应用数学》2015年第2期310-317,共8页Mathematica Applicata

基　　金：Supported by the National Natural Science Foundation of China(11162004,11101100);the Guangxi Natural Science Foundation(2012GXNSFAA053006);the Science Research Foundation of Guangxi Education Department(YB2014117)

摘　　要：本文讲述对状态和输入延迟的连续时间线性系统的一种新的控制方法,这种控制方法是通过动态输出反馈控制器实现的.基于延迟分割技术,用矩阵不等式得出闭环系统的稳定化标准.这种稳定化方法拥有一个特定的单调性质,从而得出线性迭代收敛的计算算法.本文用一个例子来说明所阐述的方法的有效性.This paper addresses a new approach on H∞ control via dynamic out feedback controllers of continuous-time linear systems with state and input delay. By combining an augmentation ap- proach with the delay partitioning technique,criteria for dynamic output feedback H~ stabilizability is proposed for the closed-loop system in terms of matrix inequalities. The characterization posses a special monotonic property, which deduces the convergence of a linearized iterative computational al- gorithm. The effectiveness of the proposed approach is illustrated by a numerical example.

关 键 词：动态反馈控制 延迟分割 延迟系统 

分 类 号：O231[理学—运筹学与控制论]