广义系统区间观测器设计

Interval observers design for descriptor systems

对于不确定或者未知输入系统,常规鲁棒观测器设计对系统和干扰有较多限制条件.区间观测器对系统具有宽松的前提条件,且对干扰只要求有界,因而区间观测器更具有广泛性.针对离散和连续的广义未知输入系统,研究区间观测器的设计问题,通过对离散系统和连续系统进行不同的变换,将系统转化为易于求取区间观测器系数矩阵的形式;然后基于相同的参数求取方式,给出广义系统区间观测器的设计方法.仿真结果表明了所提出方法的有效性和正确性.

For uncertain or unknown input systems, regular robust observers are usually constructed under some restrictive assumptions. Interval observer has more universality because it relaxes many restrictive assumptions and only needs the known boundary of the disturbance. Interval observer designing problems for both discrete and continuous descriptor systems with unknown inputs are considered. Discrete and continuous descriptor systems are respectively transformed into a form in which the coefficient matrices of interval observer can be obtained much more easily. Then the same interval observer design framework is developed. Simulation results show the effectiveness and correctness of the proposed method.