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借助于有限时间稳定性的概念,对于具有干扰输入的线性系统引入了有限时间观测器的概念,这一概念保证,在给定的有限时间区间内,观测误差小于一个给定的界,这里所讨论的干扰输入满足一个动态方程.利用线性矩阵不等式(LMI)的方法,讨论了具有干扰输入的一类不确定性线性系统存在有限时间观测器的一个充分条件,并给出了观测器的具体设计.
With the concept of finite-time stability, the concept of a finite-time observer is introduced for linear systems with disturbing inputs. The concept guarantees that the observed error is less than a given bound for a given finite time interval, The disturbance inputs discussed satisfy a dynamic equation. By using the method of linear matrix inequalities (LMI), a sufficient condition for the existence of finite-time observers for a class of uncertain linear systems with disturbance inputs is discussed. The observer specific design.