Open AccessAdaptive composite non‐linear feedback‐based sliding mode control for non‐linear systems
Author(s) -
Mollabashi H. E.,
Mazinan A. H.
Publication year - 2018
Publication title -
electronics letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.375
H-Index - 146
ISSN - 1350-911X
DOI - 10.1049/el.2018.0619
Subject(s) - control theory (sociology) , sliding mode control , composite number , adaptive control , mode (computer interface) , linear system , computer science , feedback control , control engineering , control (management) , nonlinear system , engineering , mathematics , physics , algorithm , artificial intelligence , mathematical analysis , quantum mechanics , operating system
An adaptive composite non‐linear feedback based sliding mode controller is proposed for a class of non‐linear systems comprising uncertainty terms. In these cases, it is theoretically proved that the trajectory of the closed‐loop system converges to the sliding surface in a finite‐time manner. Also, by the means of numerical linear matrix inequality technique, the stability of the non‐linear system along the sliding surface is turned to an linear matrix inequality problem. By solving such problem, the unknown matrix of the sliding surface and composite non‐linear feedback based sliding mode controller is obtained. Finally, to show the merits of the proposed approach, it is applied to practical non‐linear DC servomotor.