一类不确定线性离散系统有限时间观测器设计

针对一类不确定线性离散系统有限时间观测器最优设计问题,利用线性矩阵不等式方法以及有限时间有界的概念,给出了具有不确定外部扰动输入的线性离散系统有限时间有界的充分条件.对具有状态反馈和输出的线性不确定离散系统引入有限时间观测器的概念,可以保证在给定的有限时间区间内,观测误差小于一个给定的界,并给出了最优有限时间观测器的具体设计方案.此方案的有效性可以通过仿真实验得到验证.

Finite-time observer for linear discrete systems with parametric uncertainties

This paper deals with the problem of optimization of finite-time observer for one kind of uncertain linear discrete systems.Firstly,using the linear matrix inequality(LMI) method and the concept of finite-time boundness,some sufficient conditions of finite-time boundedness for the linear discrete systems with uncertain exogenous disturbance were derived.Based on them,the concept of finite-time observer for the uncertain linear discrete system with state feedback and output was introduced.This concept can ensure that the observer error is less than a given bound in a finite-time interval.Finally,the best design method was developed.The method can be tested by numerical simulation.