具有干扰输入的一类不确定线性系统的有限时间观测器设计

Finite-time observer for linear systems with parametric uncertainties and disturbances

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.

The concept of finite-time observer for linear system is introduced. Finite-time observer design problems are considered for linear systems with time-varying parametric uncertainties and exogenous disturbances. The disturbance satisfies one dynamical system with parametric uncertainties. One sufficient condition is presented for the existence of robust finite-time observer. The condition is given using linear matrix inequality method.