Impulsive Controller Design for Complex Nonlinear Singular Networked Systems with Packet Dropouts

Xian-Lin Zhao,Ai-Min Wang,Cun-Li Dai,Xiao-Lin Li,Wei Lu

doi:10.1155/2013/741908

Xian-Lin Zhao, Ai-Min Wang + Show 3 more

Open Access

https://doi.org/10.1155/2013/741908

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Abstract

Globally exponential stability of Complex (with coupling) Nonlinear Singular Impulsive Networked Control Systems (CNSINCS) with packet dropouts and time-delay is investigated. Firstly, the mathematic model of CNSINCS is established. Then, by employing the method of Lyapunov functional, exponential stability criteria are obtained and the impulsive controller design method is given. Finally, some simulation results are provided to demonstrate the effectiveness of the proposed method.

Highlights

At present, singular system is widely used in the control of spacecraft, flexible robot, complex power, large chemical and wireless transmission system [1–5]
Many results had been achieved for discrete singular system and time-delay singular system
In network impulsive control system packet dropouts and time-delay exist which will influence the stability of singular system

Summary

Introduction

Singular system is widely used in the control of spacecraft, flexible robot, complex power, large chemical and wireless transmission system [1–5]. Many results had been achieved for discrete singular system and time-delay singular system Such as in [6], the nonlinear discrete singular perturbation model was established and the system condition was given. As for time-delay singular system, the stability of uncertain time-delay singular systems was researched and the asymptotic stability condition was achieved in [8] by using Jensen integral inequality and feedback control method. Asymptotic stability condition for a class of uncertain impulsive system was established through the comparison theorem in [12]. Switch control method was used to research the stability of singular impulsive system, robust stabilization, and H∞ control problem in [13]. Linear approximation and the LMI method were used, respectively, to study the problem of system stability and the sufficient conditions for asymptotic stability in [14]. In network impulsive control system packet dropouts and time-delay exist which will influence the stability of singular system. A numerical example is provided to illustrate the correctness of theoretical and the effectiveness of design method

The Mathematic Model of CNSINCS

The Design of CNSINCS

Design Procedure of Impulsive Control for Complex Network

Numerical Simulation

Conclusion