Open AccessRobust Decentralized Fuzzy Controller Design for Nonlinear Large-Scale Interconnected Descriptor Systems
Author(s) -
WenJer Chang,
ChunHsi Su,
Chin-Lin Pen,
Zi-Yao Lin
Publication year - 2022
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/2213/1/012006
Subject(s) - schur complement , control theory (sociology) , fuzzy logic , nonlinear system , linear matrix inequality , controller (irrigation) , fuzzy control system , decentralised system , mathematical optimization , robust control , robustness (evolution) , mathematics , stability (learning theory) , computer science , scale (ratio) , control (management) , artificial intelligence , biochemistry , eigenvalues and eigenvectors , physics , chemistry , quantum mechanics , machine learning , gene , agronomy , biology
This paper dealt with the robust control problem for fuzzy large-scale descriptor systems (FLSDS) with uncertainties. First, each nonlinear subsystem of the large-scale descriptor system was described as a FLSDS with interconnectivity and uncertainty. Based on the proportional-plus-derivative state feedback (PD) method, the decentralized fuzzy controller in each subsystem was designed to stabilize the whole system. In order to solve the uncertainties problem in the control system simply, a benefits robust approach has been proposed. The final stability conditions can be recast into the linear matrix inequality (LMI) problem by the Schur complement. At last, a numerical example was given to illustrate the control design procedure and its effectiveness.