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Adaptive Observer‐Based Global Sliding Mode Control for Uncertain Discrete‐Time Nonlinear Systems with Time‐Delays and Input Nonlinearity
Author(s) -
Pai MingChang
Publication year - 2019
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.1828
Subject(s) - control theory (sociology) , nonlinear system , state observer , linear matrix inequality , observer (physics) , sliding mode control , lyapunov stability , mode (computer interface) , lyapunov function , discrete time and continuous time , mathematics , stability (learning theory) , computer science , control (management) , mathematical optimization , physics , statistics , quantum mechanics , artificial intelligence , machine learning , operating system
A new discrete‐time adaptive global sliding mode control (SMC) scheme combined with a state observer is proposed for the robust stabilization of uncertain nonlinear systems with mismatched time delays and input nonlinearity. A state observer is developed to estimate the unmeasured system states. By using Lyapunov stability theorem and linear matrix inequality (LMI), the condition for the existence of quasi‐sliding mode is derived and the stability of the overall closed‐loop system is guaranteed. Finally, simulation results are presented to demonstrate the validity of the proposed scheme.