Quantized stabilization for switched affine systems with event‐triggered mechanism

Abstract

Abstract This article is mainly concerned with quantized stabilization for switched affine systems with the periodic event‐triggered mechanism. By considering the effect of the event‐triggered scheme, a mathematical model for a closed‐loop control system with quantization is constructed. Theorems for main results are developed to guarantee the practical stability of the desired equilibrium point by using Lyapunov stability theory and linear matrix inequality techniques. Based on the derived sufficient conditions in theorems, the state feedback gains together with a switching function are presented in an explicit form. At last, a numerical example is proposed to illustrate our approach.