Multi-rate sampled-data control of switched affine systems

摘要

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.