Open AccessRobust H∞ Observer-Based Control Design for Discrete-Time Nonlinear Systems With Time-Varying Delay
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 - 10.37394/23202.2021.20.11
Subject(s) - control theory (sociology) , observer (physics) , nonlinear system , discrete time and continuous time , linear matrix inequality , controller (irrigation) , stability theory , mathematics , computer science , robust control , control (management) , mathematical optimization , artificial intelligence , quantum mechanics , statistics , physics , agronomy , biology
This paper investigates the problem of robust H∞ observer-based control for a class of discrete-time nonlinear systems with time-varying delays and parameters uncertainties. We propose an observer-based controller. By constructing an appropriate Lyapunov-Krasovskii functional, some sufficient conditions are developed to ensure the closed-loop system is robust asymptotically stable with H∞ performance in terms of the linear matrix inequalities. Finally, a numerical example is given to illustrate the efficiency of proposed methods.