An actuators and sensors fault reconstruction method based on an \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$H_{\infty }$$\end{document} output feedback controller and a full-dimensional state observer for a class of Lipschitz nonlinear systems is considered. Firstly, structure a pre-filter system and then the pre-filter system is combined with the original system to form a new system. In order to decouple fault and disturbance in different subsystems, a linear transformation matrix is designed. Then, based on LMIs and the Lyapunov stability theory, an \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$H_{\infty }$$\end{document} output feedback controller and a full dimensional state observer are designed which can satisfy the state estimation error is asymptotically stable. On this basis, a fault reconstruction algorithm is given. Finally, the method is verified by taking the L-1011 flight control system model as an example. The method can quickly realize online fault tracking and reconstruction, and the method in this paper does not need the upper boundary of fault (fault derivative) or disturbance is known, which is easily to be realized in engineering.


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