离散切换系统观测器存在性讨论及降维观测器设计

朱芳来; 蔡明; 郭胜辉

doi:10.16383/j.aas.2017.c160471

离散切换系统观测器存在性讨论及降维观测器设计

doi: 10.16383/j.aas.2017.c160471

朱芳来^1, ,,
蔡明^1,,
郭胜辉^1,2,

1.
同济大学电子与信息工程学院上海 201804
2.
苏州科技大学电子与信息工程学院苏州 215009

基金项目:

国家自然科学基金 61573256

上海市科委"创新行动计划"项目 16111106502

详细信息

作者简介:
蔡明同济大学控制理论与控制工程专业硕士研究生.主要研究方向为基于模型的故障检测与隔离.E-mail:basycai@163.com

郭胜辉苏州科技大学电子与信息工程学院讲师, 博士.主要研究方向为基于模型的故障检测及观测器设计.E-mail:12gsh@tongji.edu.cn

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, 观测器设计, 基于模型的故障检测与隔离.本文通信作者.E-mail:zhufanglai@tongji.edu.cn

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出版历程
- 收稿日期: 2016-06-16
- 录用日期: 2016-11-23
- 刊出日期: 2017-12-20

Discussions on Existence of Observers and Reduced-order Observer Design for Discrete-time Switched Systems

ZHU Fang-Lai^{1
, ,},
CAI Ming^1
,,
GUO Sheng-Hui^{1,2
,}

1.
College of Electronics and Information Engineering, Tongji University, Shanghai 201804
2.
College of Electrical Engineering and Automation, Suzhou University of Science and Technology, Suzhou 215009

Funds:

National Natural Science Foundation of China 61573256

Shanghai Science and Technology Innovation Fund 16111106502

More Information

Author Bio:
Master sutdent at the College of Electronics and Information Engineering, Tongji University. His research interest covers model-based fault detection and isolation

Ph.D, lecturer at the College of Electronics and Information Engineering, Suzhou University of Science and Technology. His research interest covers model-based fault detection and observer design

Corresponding author: ZHU Fang-Lai Professor at the College of Electronics and Information Engineering, Tongji University. His research interest covers nonlinear robust control, model-based fault detection and isolation. Corresponding author of this paper

摘要

摘要: 对具有未知输入的离散切换系统讨论了未知输入观测器（Unknown input observer，UIO）设计方法.首先，对一般离散系统的未知输入观测器匹配条件的Lyapunov-type表示，进行了等价性论证；然后，基于不具有未知输入的离散切换系统的稳定性理论，对具有未知输入的离散切换系统提出了一种切换降维观测器设计方法.通过矩阵分块确定出的观测器增益矩阵，使得降维观测器能直接消去未知输入的影响；然后，在此基础上提出了一种未知输入代数重构方法；最后，通过仿真验证了方法的有效性和正确性.
- 离散系统 /
- 未知输入估计 /
- 观测器匹配条件 /
- 切换系统
Abstract: The paper discusses the unknown input observer (UIO) design issue for discrete-time switched systems with unknown inputs. First, a Lyapunov-type equivalent representation of observer matching condition for a general discrete-time system is given and proved. Then, based on the stability theory of discrete-time switched system without unknown inputs, a reduced-order observer is developed for a discrete-time switched system with unknown inputs. The reduced-order observer can eliminate the influences of the unknown inputs directly because of the special selection of the observer gain matrix determined by matrix block computation. Meanwhile, an algebraic unknown input reconstruction method is proposed. Finally, a simulation example is given to verify the correctness and effectiveness of the proposed methods.
- Discrete-time system /
- unknown input estimation /
- observer matching condition /
- switched system
注释:

1) 本文责任编委孙希明

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图 1 切换序列

Fig. 1 Switched sequence

下载: 全尺寸图片幻灯片

图 2 系统状态估计和未知输入重构

Fig. 2 stimated states and unknown input reconstruction

下载: 全尺寸图片幻灯片

参考文献(25)

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离散切换系统观测器存在性讨论及降维观测器设计

doi: 10.16383/j.aas.2017.c160471

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, 观测器设计, 基于模型的故障检测与隔离.本文通信作者.E-mail:zhufanglai@tongji.edu.cn

计量

Discussions on Existence of Observers and Reduced-order Observer Design for Discrete-time Switched Systems

Corresponding author: ZHU Fang-Lai Professor at the College of Electronics and Information Engineering, Tongji University. His research interest covers nonlinear robust control, model-based fault detection and isolation. Corresponding author of this paper

计量

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留言板

离散切换系统观测器存在性讨论及降维观测器设计

doi: 10.16383/j.aas.2017.c160471

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, 观测器设计, 基于模型的故障检测与隔离.本文通信作者.E-mail:zhufanglai@tongji.edu.cn

计量

出版历程

Discussions on Existence of Observers and Reduced-order Observer Design for Discrete-time Switched Systems

Corresponding author: ZHU Fang-Lai Professor at the College of Electronics and Information Engineering, Tongji University. His research interest covers nonlinear robust control, model-based fault detection and isolation. Corresponding author of this paper

计量

出版历程

目录

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, 观测器设计, 基于模型的故障检测与隔离.本文通信作者.E-mail:zhufanglai@tongji.edu.cn