Open AccessMulti‐rate sampled‐data control of switched affine systems
Author(s) -
Wu Feiyue,
Qu Xuehao,
Li Chunyang,
Lian Jie,
Xu Lingli
Publication year - 2020
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.2019.0446
Subject(s) - affine transformation , control theory (sociology) , lyapunov function , asynchronous communication , block (permutation group theory) , computer science , sampling (signal processing) , state (computer science) , mathematics , class (philosophy) , function (biology) , control (management) , algorithm , artificial intelligence , nonlinear system , telecommunications , physics , geometry , quantum mechanics , evolutionary biology , detector , pure mathematics , biology
This study considers the practical stabilisation of switched affine systems under the multi‐rate sampled‐data switching control. In order to depict the sampled value of all state components, a sensing block composed of several sensors with asynchronous uncertain non‐uniform sampling intervals is applied. On the basis of the sampled‐data value, a new class of functionals is developed, which is composed of a Lyapunov–Krasovskii functional and a looped function. Practical stabilisation conditions are presented for the switched affine system by means of a switching law. Two examples are provided to demonstrate the effectiveness and feasibility of the proposed results.