离散切换系统观测器存在性讨论及降维观测器设计

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....

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Bibliographic Details
Published in自动化学报 Vol. 43; no. 12; pp. 2091 - 2099
Main Author 朱芳来;蔡明;郭胜辉
Format Journal Article
LanguageChinese
Published 同济大学电子与信息工程学院 上海201804%同济大学电子与信息工程学院 上海201804 2017
苏州科技大学电子与信息工程学院 苏州215009
Subjects
离散系统;未知输入估计;观测器匹配条件;切换系统
切换系统
unknown input estimation
未知输入估计
Discrete-time system
switched system
离散系统
观测器匹配条件
observer matching condition
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ISSN0254-4156
1874-1029
DOI10.16383/j.aas.2017.c160471

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Summary: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.
Bibliography:ZHU Fang-Lai1, CAI Ming1 ,GUO Sheng-Hui1, 2（1. College of Electronics and Information Engineering, Tongji University, Shanghai 201804 2. College of Electrical Engineer- ing and Automation, Suzhou University of Science and Technology, Suzhou 215009）
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 devdoped 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
ISSN:0254-4156
1874-1029
DOI:10.16383/j.aas.2017.c160471