Open AccessStability Analysis and Robust H∞ Filtering for Discrete-time Nonlinear Systems with Time-varying Delays
Author(s) -
Mengying Ding,
Yali Dong
Publication year - 2021
Publication title -
wseas transactions on systems
Language(s) - English
Resource type - Journals
eISSN - 2224-2678
pISSN - 1109-2777
DOI - 10.37394/23202.2021.20.31
Subject(s) - control theory (sociology) , filter (signal processing) , stability theory , nonlinear system , discrete time and continuous time , filter design , linear matrix inequality , mathematics , stability (learning theory) , computer science , filtering problem , lyapunov function , mathematical optimization , control (management) , statistics , physics , quantum mechanics , artificial intelligence , machine learning , computer vision
In this paper, we investigate the problem of robust H∞ filter design for a class of discrete-time nonlinear systems. The systems under consider involves time-varying delays and parameters uncertainties. The main objective is to design a linear full-order filter to ensure that the resulting filtering error system is asymptotically stable with a prescribed H∞ performance level. By constructing an appropriate Lyapunov-Krasovskii functional, some novel sufficient conditions are established to guarantee the filter error dynamics system is robust asymptotically stable with H∞ performance γ , and the H∞ filter is designed in term of linear matrix inequalities. Finally, a numerical example is provided to illustrate the efficiency of proposed method.