基于辅助输出的线性系统状态和未知输入同时估计方法

韩冬; 朱芳来

doi:10.3724/SP.J.1004.2012.00932

基于辅助输出的线性系统状态和未知输入同时估计方法

doi: 10.3724/SP.J.1004.2012.00932

韩冬,
朱芳来

1.
同济大学电子与信息工程学院上海 200092

详细信息

通讯作者:
朱芳来,同济大学电子与信息工程学院教授.主要研究方向为非线性系统鲁棒控制,基于模型的故障检测与隔离.

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- 被引次数: 0
出版历程
- 收稿日期: 2011-07-21
- 修回日期: 2012-02-27
- 刊出日期: 2012-06-20

Simultaneous Estimation of States and Unknown Inputs for Linear Systems Based on Auxiliary Outputs

1.
College of Electronics and Information Engineering, Tongji University, Shanghai 200092

摘要

摘要: 在未知输入观测器匹配条件不满足的情况下, 针对一类线性时不变系统, 研究了同时估计系统状态和未知输入的问题. 首先, 基于可测输出对未知输入的相关度的概念, 给出了辅助输出的构造方法, 使得匹配条件得以满足. 为了处理辅助输出中的未知信息, 提出了一种高增益观测器设计方法, 它不仅能估计辅助输出, 而且还能估计辅助输出的导数. 然后, 基于辅助输出的估计值, 提出了一种降维观测器设计方法, 可以在不受未知输入影响的情况下估计系统的状态; 接下来, 基于状态和辅助输出及其导数的估计值, 给出了未知输入估计. 最后, 对一个五阶系统进行了数字仿真, 仿真结果表明所提出的方法是有效的.
- 观测器匹配条件 /
- 高增益观测器 /
- 降维观测器 /
- 未知输入估计
Abstract: This paper considers the problem of simultaneously estimating the states and unknown inputs for linear systems when the so-called observer matching condition is not satisfied. Based on the relative degree of the output with respect to the unknown input, a kind of auxiliary output vector which may satisfy the observer matching condition is constructed. To deal with the unknown information contained in the auxiliary output vector, a kind of high-gain observer is developed. The high-gain observer is able to estimate the auxiliary output vector and its derivative. Then, we construct a reduced-order observer which can track the system's states based on the estimation of auxiliary output vector. Moreover, through employing the estimation of auxiliary output vector's derivative, unknown inputs can be estimated. The simulation results of a real model show that the proposed method is effective.
- Observer matching condition /
- high-gain observer /
- reduced-order observer /
- unknown input estimation

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参考文献(1)

[1]

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