Study on the Stability of Switched Systems based on Uncertain Nonlinear Time Delay

Abstract

Switching system is very important in the fields of industrial manufacture, chemical process, intelligent control, which have attracted much attention in recent years. It is well known that the phenomenon of time delay and nonlinear disturbance exist in the actual switching system, so the research on nonlinear time delay switched systems has great theoretical significance and practical value. In this paper, we discuss the exponential stability of a class of switched systems with nonlinear perturbations, and then derive the stability conditions by using the theory of integral inequality and the average dwell time. From the actual research model of switching system, most of the system is unstable, so it is very important to design a switching strategy which can make the system stable