Sampled-data control for switched neutral systems with quantization input under asynchronous switching

Abstract

This paper is concerned with sampled-data control for switched neutral systems with quantization input under asynchronous switching. By combining the multiple function method and the average dwell time technique, a lemma gives input-to-state stability conditions for switched nonlinear neutral systems. Considering the relationship between the sampling periods and minimal dwell time of two switching instants, sampled-data control is extended into the input-to-state stability of switched neutral systems under asynchronous switching. The sector bound approach is used to analyse quantization phenomena. For switched linear neutral systems with nonlinear perturbations and quantization input, linear matrix inequality conditions are given to guarantee input-to-state stability. Then, a sampled-data based controller with transmission delays is designed. In the end, the effectiveness of the results is illustrated by a simulation example about the management of forests.