Impulsive Stabilization of Nonlinear Time-Delay System With Input Saturation via Delay-Dependent Polytopic Approach

The impulsive stabilization of nonlinear time-delay system with input saturation via delay-dependent polytopic approach is studied in this article. Different from polytopic representation technique, delay-dependent polytopic technique is able to estimate a larger domain of attraction. Based on this approach, the actuator saturation term is first introduced into the design of impulsive controller, which is expressed as a convex combination of the product of delay-dependent state vectors and auxiliary matrices. By applying delay-dependent polytopic technique and delay-dependent Lyapunov-Krasovskii functional (LKF) approach, a new series of less conservative linear matrix inequality (LMI) criteria are obtained to ensure the stability of the established model. Finally, two examples are presented to claim the effectiveness of theoretical analysis results.

Automated summary

This article studies the impulsive stabilization of nonlinear time-delay system with input saturation using a delay-dependent polytopic approach. By introducing the actuator saturation term and applying delay-dependent polytopic technique and delay-dependent Lyapunov-Krasovskii functional approach, less conservative linear matrix inequality criteria are obtained to ensure stability. Two examples are provided to demonstrate the effectiveness of the theoretical analysis results.