Open AccessState‐dependent intermittent control of non‐linear systems
Author(s) -
Wang Qingzhi,
He Yong,
Tan Guanzheng,
Wu Min
Publication year - 2017
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.2016.1385
Subject(s) - control theory (sociology) , controller (irrigation) , state (computer science) , exponential stability , intermittent control , control (management) , exponential function , linear system , full state feedback , computer science , control system , state dependent , control engineering , mathematics , nonlinear system , engineering , artificial intelligence , physics , algorithm , mathematical analysis , electrical engineering , mathematical economics , quantum mechanics , agronomy , biology
State‐dependent intermittent control is presented to investigate the exponential stabilisation issue for a class of non‐linear systems. The so‐called state‐dependent intermittent control means that whether control signals are imposed on a plant or not is related to system dynamics. Based on the concept, the mathematical description of a state‐dependent intermittent controller is initially introduced. Then, in the framework of it, the globally exponential stability is analysed in detail for the deduced state‐dependent intermittent control system with the pre‐given state‐dependent regions. It is worth mentioning that parameters in the pre‐given state‐dependent regions are tunable, which makes it flexible to design. Furthermore, a state‐dependent intermittent controller can be designed for the concerned non‐linear system according to the established exponential stabilisation criterion. Here, the designed state‐dependent intermittent controller can not only avoid chattering effectively but also control switching frequency by adjusting values of parameters in the pre‐given state‐dependent regions. Finally, two examples are given to show the effectiveness and superiority of the proposed method.