一类线性时变系统的输出反馈控制

张健; 辛晓帅; 徐红兵

doi:10.3724/SP.J.1004.2014.00373

一类线性时变系统的输出反馈控制

doi: 10.3724/SP.J.1004.2014.00373

1.
电子科技大学自动化工程学院成都 611731

基金项目:

国家自然科学基金（61004048）;航空科学基金（20121080006）资助

详细信息

作者简介:
辛晓帅电子科技大学讲师.主要研究方向为控制理论应用，新能源系统中的控制技术. E-mail：xinxiaoshuai@uestc.edu.cn

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出版历程
- 收稿日期: 2012-10-31
- 修回日期: 2013-03-11
- 刊出日期: 2014-02-20

Output Feedback Control of a Class of Linear Time-varying Systems

1.
School of Automation Engineering, University of Electronic Science and Technology of China, Chengdu 611731

Funds:

Supported by National Natural Science Foundation of China (61004048) and Aviation Science Foundation of China (20121080006)

摘要

摘要: 基于线性时不变系统能控能观标准型变换及非线性系统高增益观测器方法，本文研究了一类线性时变系统的输出反馈控制问题. 通过引入时变的状态变量坐标变换，分别设计了线性时变系统的状态反馈控制器、状态观测器以及基于状态观测器的输出反馈控制器. 进一步地，本文分别证明了观测器动态误差是渐近收敛于零的，而状态反馈控制器以及输出反馈控制器可以保证闭环系统的渐近稳定性.
- 线性时变系统 /
- 反馈控制 /
- 观测器 /
- 标准型 /
- 渐近稳定
Abstract: In this paper, output feedback control is investigated for a class of linear time-varying systems based on the ideas of controllable and observable canonical forms in the theory of linear time-invariant systems and high-gain observers in the theory of nonlinear systems. The state feedback controller, the state observer and the observer-based output feedback controller are respectively derived for linear time-varying systems by using time-varying transformations of state variables. It is further proved that the observer errors are asymptotically convergent to zero, and the state feedback controller and output feedback controller can demonstrate the asymptotic stability of the closed-loop system.
- Linear time-varying systems /
- feedback control /
- observer /
- canonical forms /
- asymptotic stability

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参考文献(18)

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