Synchronization of chaotic Lur’e systems with time-delays via quantized output feedback control

Author:

Rao Yu1,Tong Dongbing1ORCID,Chen Qiaoyu23,Zhou Wuneng3,Xu Yuhua4

Affiliation:

1. School of Electronic and Electrical Engineering, Shanghai University of Engineering Science, Shanghai, People’s Republic of China

2. School of Mathematics, Physics and Statistics, Shanghai University of Engineering Science, Shanghai, People’s Republic of China

3. School of Information Sciences and Technology, Donghua University, Shanghai, People’s Republic of China

4. School of Finance, Nanjing Audit University, Jiangsu, People’s Republic of China

Abstract

In this paper, the asymptotic stability for chaotic Lur’e systems (CLSs) is studied. A new control method, which involves both state quantizer and control quantizer, is presented. In addition, dynamic parameters of quantizers and controller are designed synchronously to ensure the asymptotic synchronization of the master–slave systems. Moreover, by solving linear matrix inequalities, the corresponding dynamic parameters and control gain can be given. Finally, one numerical simulation and two practical simulations are raised to prove the effectiveness of the control strategy.

Funder

National Natural Science Foundation of China

China Postdoctoral Science Foundation

natural science foundation of shanghai

Publisher

SAGE Publications

Subject

Instrumentation

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