一类有限时间观测器设计及其在飞控系统中的应用

A Finite-Time Observer Design and Its Application on Flight Control System

文章针对强可观系统提出了一种有限时间全阶未知输入观测器(Unknown Input Observer,UIO)。首先,设计2个独立的全阶UIO,其特征值满足一定的要求;其次,合并这2个观测器得到新的有限时间观测器,并且能够在预先设定的时间内准确估计出系统状态和未知输入,并借助超螺旋微分器重构了未知输入;最后,用一个飞控系统例子诠释了算法的有效性。

In this paper, the finite-time full order unknown input observer （UIO） for strongly observable systems was proposed. Firstly, two distinct full order UIOs, the eigenvalues of which met some demand were designed. Secondly, combining the two UIOs, the finite-time UIO could exactly estimate the states after arbitrarily pre-defined time. Thirdly, the unknown inputs was reconstructed with super-twisting algorithm differentiator. Finally, a numerical example illustrated the effectives of the proposed observer.