采用代数建模方法的自适应观测器设计

韩冬; 刘俊

doi:10.7652/xjtuxb201507015

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采用代数建模方法的自适应观测器设计

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- 采用代数建模方法的自适应观测器设计
- Adaptive Observer Design Based on an Algebraic Modelling Approach
- 西安交通大学学报 2015年49卷第7期页码：88-91
- 作者机构：
  
  清华大学自动化系,北京,100084
- 作者简介：
- 基金信息：
  
  : 2014-11-24。作者简介: 韩冬(1975—),男,博士,助理研究员。基金项目: 国家自然科学基金资助项目(61203230)
- DOI：10.7652/xjtuxb201507015
  中图分类号： TP13
- 网络首发：2015-07-10，
  
  纸质出版：2015
- 稿件说明：
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韩冬, 刘俊. 采用代数建模方法的自适应观测器设计[J]. 西安交通大学学报, 2015,49(7):88-91.

Adaptive Observer Design Based on an Algebraic Modelling Approach[J]. 2015, 49(7): 88-91.
韩冬, 刘俊. 采用代数建模方法的自适应观测器设计[J]. 西安交通大学学报, 2015,49(7):88-91. DOI： 10.7652/xjtuxb201507015.

Adaptive Observer Design Based on an Algebraic Modelling Approach[J]. 2015, 49(7): 88-91. DOI： 10.7652/xjtuxb201507015.

摘要

针对伴有未知输入的一类线性时不变系统

当观测器匹配条件不满足时

研究了自适应观测器的设计问题。通过将未知输入划分为匹配未知输入和不匹配未知输入两部分

并假设不匹配未知输入可以表述为一个动态系统

从而可得一个满足匹配条件的增广系统; 对于该增广系统讨论了自适应观测器的存在条件

给出了自适应观测器的设计方法

这种自适应观测器不仅可以观测原系统的状态

还可以重构、匹配未知输入。将该设计方法应用于一类机器人系统

虽然系统未知输入初值和观测器重构的未知输入初值相差很大

但是观测器重构的未知输入值能够很快地跟踪上系统实际的未知输入值; 虽然这是一种有界误差跟踪

但是误差可以控制在很小的范围内

并不影响实际应用。仿真结果表明

所提方法是有效的。

Abstract

This paper studies the problem of designing adaptive observers for linear time-invariant systems with unknown inputs when the observer matching condition is not satisfied. The unknown inputs are divided into two parts: one is matched and the other is mismatched. Under the assumption that the mismatched unknown inputs are deterministic and can be expressed as the response of a fictitious autonomous system

an augmented system consisting of the original system and the mismatched unknown inputs dynamical system is constructed so that the observer matching condition can be satisfied. For the augmented system

the procedure to design this adaptive observer is given

and it is able to not only observe the state of original system but also reconstruct the matched unknown inputs. Such adaptive observer is applied to a kind of robot system and the simulation results demonstrate the effectiveness of the proposed approach.

关键词

Keywords

references

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韩冬, 朱芳来. 基于辅助输出的线性系统状态和未知输入同时估计方法 [J]. 自动化学报, 2012, 38(6): 932-943.

HAN Dong, ZHU Fanglai. Simultaneous estimation of states and unknown inputs for linear systems based on auxiliary outputs [J]. Acta Automatica Sinica, 2012, 38(6): 932-943.

PARK T G. Designing fault detection observers for linear systems with mismatched unknown inputs [J]. Journal of Process Control, 2013, 23(8): 1185-1196.

汤承林, 练岚香, 刘俊. 基于代数方法的一类不确定系统的滑模观测器设计 [J]. 电子科技大学学报, 2015, 38(6): 932-943.

TANG Chenglin, LIAN Lanxiang, LIU Jun. Sliding-mode observers design for uncertain systems based on an algebraic approach [J]. Journal of University of Electronic Science and Technology of China, 2015, 38(6): 932-943.

ALBERTOS P, SALA A. Multivariable control systems: an engineering approach [M]. Berlin, Germany: Springer, 2004.

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