Open AccessSliding mode observer based control for T-S fuzzy descriptor systems
Author(s) -
Dongyun Wang
Publication year - 2022
Publication title -
mathematical foundations of computing
Language(s) - English
Resource type - Journals
ISSN - 2577-8838
DOI - 10.3934/mfc.2021017
Subject(s) - reachability , control theory (sociology) , observer (physics) , nonlinear system , sliding mode control , state observer , fuzzy logic , linear matrix inequality , computer science , fuzzy control system , mode (computer interface) , mathematics , matrix (chemical analysis) , control (management) , algorithm , mathematical optimization , artificial intelligence , physics , quantum mechanics , operating system , materials science , composite material
In this paper, the problem of sliding mode observer (SMO) based sliding mode control (SMC) for nonlinear descriptor delay systems is studied. First, based on the T-S fuzzy dynamic modeling technique, the nonlinear descriptor system is transformed into a combination of local linear models. Then, a integral-type sliding surface (ITSS) based SMO is constructed for the error system. In the sequel, sufficient linear matrix inequality (LMI) conditions are established to ensure the admissibility of the sliding motions and obtain the observer gain matrix. Furthermore, two novel SMC laws are developed to ensure the reachability conditions and stabilize the descriptor systems. Finally, simulations are provided to show the effectiveness of the method.