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

被引：0
作者：
Zhu F.-L. [1 ]
Cai M. [1 ]
Guo S.-H. [1 ,2 ]
机构：
[1] College of Electronics and Information Engineering, Tongji University, Shanghai
[2] College of Electrical Engineering and Automation, Suzhou University of Science and Technology, Suzhou
来源：
Zidonghua Xuebao/Acta Automatica Sinica | 2017年 / 43卷 / 12期
基金：
中国国家自然科学基金;
关键词：
Discrete-time system; Observer matching condition; Switched system; Unknown input estimation;
D O I：
10.16383/j.aas.2017.c160471
中图分类号：
学科分类号：
摘要：
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. Copyright © 2017 Acta Automatica Sinica. All rights reserved.
引用
收藏
页码：2091 / 2099
页数：8
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