Open AccessQuantisation effect on zero‐order‐holder discretisation of multi‐input sliding‐mode control systems
Author(s) -
Yan Yan,
Yu Xinghuo,
Sun Changyin,
Yu Shuanghe
Publication year - 2015
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2015.0388
Subject(s) - discretization , control theory (sociology) , manifold (fluid mechanics) , mode (computer interface) , boundary (topology) , zero (linguistics) , sliding mode control , stability (learning theory) , mathematics , control (management) , computer science , mathematical analysis , physics , engineering , nonlinear system , mechanical engineering , quantum mechanics , artificial intelligence , machine learning , operating system , linguistics , philosophy
This study investigates the quantisation effect on dynamical behaviours of the zero‐order‐holder discretisation of multi‐input sliding‐mode control systems with matched uncertainties. The quasi‐sliding mode induced by both quantisation and discretisation is analysed and the thicknesses of the boundary layers are calculated. It is shown that chattering phenomenon occurs in the union of the two boundary layers induced by both kinds of discontinuous laws. The stability condition is given and the authors show that the switching manifold has relatively low chattering frequencies due to quantised state feedback. Finally, the theoretical results are verified through the simulation study of a third‐order system with two inputs.