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线性离散周期系统输出反馈参数化极点配置
引用本文:吕灵灵,段广仁,周彬.线性离散周期系统输出反馈参数化极点配置[J].自动化学报,2010,36(1):113-120.
作者姓名:吕灵灵  段广仁  周彬
作者单位:1.哈尔滨工业大学控制理论与制导技术研究中心 哈尔滨 150001
基金项目:国家自然科学基金重大国际合作项目(60710002);;长江学者创新团队发展计划和机器人技术与系统国家重点实验室(SKLRS200801A03)资助~~
摘    要:采用周期输出反馈的途径, 考虑了线性离散时间周期系统的极点配置问题. 通过将闭环单值性矩阵进行一系列转化, 周期输出反馈律的求解问题可以转化为一类Sylvester矩阵方程的求解问题. 利用Sylvester矩阵方程的最新结果, 可以将输出反馈增益表示为参数化形式, 从而得到了能够实现极点配置的所有输出反馈控制器. 数值算例验证了方法的有效性.

关 键 词:离散周期系统    极点配置    输出反馈    参数化方法
收稿时间:2008-10-28
修稿时间:2009-2-12

Parametric Pole Assignment for Discrete-time Linear Periodic Systems via Output Feedback
LV Ling-Ling DUAN Guang-Ren ZHOU Bin.Center for Control Theory , Guidance Technology,Harbin Institute of Technology,Harbin.Parametric Pole Assignment for Discrete-time Linear Periodic Systems via Output Feedback[J].Acta Automatica Sinica,2010,36(1):113-120.
Authors:LV Ling-Ling DUAN Guang-Ren ZHOU BinCenter for Control Theory  Guidance Technology  Harbin Institute of Technology  Harbin
Affiliation:1.Center for Control Theory and Guidance Technology, Harbin Institute of Technology, Harbin 150001
Abstract:This paper considers the pole assignment problem for discrete-time linear periodic systems through the use of linear periodic output feedback control. The monodromy matrix of the closed-loop system is represented as a special form by which the periodic control law can be obtained via the solution to a time-inviant Sylvester matrix equation. By utilizing a recent result on Sylvester matrix equation, a complete parametric approach for pole assignment via periodic output feedback is proposed, and a new algorithm is presented. A numerical example shows the effectiveness of the proposed approach.
Keywords:Discrete periodic systems  pole assignment  output feedback  parametric method
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