Guaranteed Cost Control for Multirate Networked Control Systems with Both Time-Delay and Packet-Dropout

Author:

Zhu Qixin12ORCID,Xie Binbin2,Zhu Yonghong3

Affiliation:

1. School of Mechanical Engineering, Suzhou University of Science and Technology, Suzhou 215009, China

2. School of Electrical and Electronic Engineering, East China Jiaotong University, Nanchang 330013, China

3. School of Mechanical and Electronic Engineering, Jingdezhen Ceramic Institute, Jingdezhen 333001, China

Abstract

Compared with traditional networked control systems, the sampling rates of the nodes are not the same in the multirate networked control systems (NCSs). This paper presents a new stabilization method for multirate NCSs. A multirate NCSs with simultaneous considering time-delay and packet-dropout is modeled as a time-varying sampling system with time-delay. The proposed Lyapunov function deceases at each input signal updating point, which is largely ignored in prior works. Sufficient condition for the stochastic mean-square stability of the multirate NCSs is given, and the cost function value is less than a bound. Numerical examples are presented to illustrate the effectiveness of the proposed control scheme.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

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