A new robust H∞\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$_\infty $$\end{document} sliding mode observer-based state estimation and fault reconstruction for nonlinear uncertain boiler system

In this paper, a new robust H∞\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$_\infty $$\end{document} sliding mode observer is proposed for state estimation and fault reconstruction in the presence of uncertainties and disturbances. In the proposed method, the well-known H∞\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$_\infty $$\end{document} concepts are used for minimizing the effects of the uncertainty on the estimation of the states and reconstruction of the faults using linear matrix inequalities (LMIs). Also LMIs are developed for providing a sufficient condition for the stability of the observer. As the case study, an industrial boiler is considered as a nonlinear system and the proposed robust observer illustrates robust performance on estimation of its states and reconstruction of its fault in the presence of uncertainties. The resulting outcomes demonstrate promising capabilities of the proposed methodology.