一类离散相似广义互联系统区间观测器的设计与存在性判据

Design and Existence Criterion of an Interval Observer for a Class of Discrete Similar Generalized Interconnected System

针对一类离散相似广义互联系统,研究了系统区间观测器的设计问题.基于相似互联系统所具有的相似结构特点对系统进行线性变换,进一步将子系统正常化;基于变换后的系统结构,设计出状态的区间观测器,并给出区间观测器的存在性判据;给出离散广义互联大系统区间观测器的结构,并通过数值算例验证了区间观测器设计方法的可行性.

The design method of interval observer is studied for a class of discrete similar generalized interconnected systems.The system is linearly transformed based on the similar structure characteristics of similar interconnected systems and the subsystem is normalized;the interval observer of the state is designed based on the transformed system structure,and the existence criterion of the observer is given;the structure of the interval observer for discrete generalized interconnected large-scale systems is given,and the feasibility of the design method of the interval observer is verified by numerical examples.