State-dependent intermittent control of non-linear systems

摘要

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.