State-dependent intermittent control of non-linear systems

• Published in: IET control theory & applications 2017-08, Vol.11 (12), p.1884-1893
• Main Authors: Wang, Qingzhi, He, Yong, Tan, Guanzheng, Wu, Min
• Format: Article
• Language: English
• Subjects: asymptotic stability; control signals; control system synthesis; deduced state‐dependent intermittent control system; exponential stabilisation; globally exponential stability; nonlinear control systems; nonlinear systems; Research Article; switching frequency; system dynamics
• ISSN: 1751-8644; 1751-8652; 1751-8652
• DOI: 10.1049/iet-cta.2016.1385

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.