New Stability Criteria for Event-Triggered Nonlinear Networked Control System with Time Delay

Hongqian Lu,Chaoqun Guo,Yue Hu,Wuneng Zhou

doi:10.1155/2019/1648576

Abstract

This note focuses on the stability and stabilization problem of nonlinear networked control system with time delay. To alleviate the burden of transformation channel and shorten the dynamic process simultaneously, an improved event-triggered scheme is proposed. This paper employs an improved time delay method to enhance the performance and reduce the delay upper bound conservatism. Less conservative stability criteria related to the order N are derived by establishing an augmented Lyapunov-Krasovskii functional manufactured for the use of Bessel-Legendre inequality. In addition, an event-triggered controller is designed for nonlinear networked control system with time delay. At last, numerical examples are proposed to verify the effectiveness of the new method.

Highlights

The networked control has been applied to the practical control process [1]
The performance of networked control system is always influenced by the uncertainties and disturbance and nonlinear factors
This paper takes into account nonlinearity to augment the performance of networked control system

Summary

Introduction

The networked control has been applied to the practical control process [1]. We will put forward a new improved static ETS for the nonlinear networked control system with time delay to decrease the burden of channel and improve system dynamics. Free weighting matrix method will increase the decision variables, which makes the computation complex To overcome this point and better estimate the integral terms, the Jensen inequality was used widely [41]. Bessel-Legendre inequality together with reciprocally convex combination lemma to research the stability of nonlinear networked control system with time delay under improved event-triggered scheme. An improved ETS is put forward for nonlinear networked control system in this paper to reduce transmission load of channel by decreasing the number of signal transmission. InN denotes the identity matrix with n(N + 1) × n(N + 1) dimensions

Problem Formulation

Stability Criteria

Stabilization of Networked Control System

Numerical Examples

Findings

Conclusions