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Further Criteria on Master–Slave Synchronization in Chaotic Lur’e Systems Using Delay Feedback Control

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Abstract

This paper is concerned with designing delay feedback controllers of master–slave synchronization for Lur’e systems. Through dividing the delay interval into two parts and choosing two augmented Lyapunov–Krasovskii functionals, some delay-dependent synchronization criteria are formulated in terms of linear matrix inequalities (LMIs), in which the conservatism can be effectively reduced based on adjusting some useful parameters. The proposed conditions can be easily checked, and the controller gains can be achieved by solving the derived LMIs. Finally, two numerical examples are given to illustrate the presented results.

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Acknowledgments

This work is supported by the National Natural Science Foundation of China (Nos. 61374116, 61473079, 61473047), Jiangsu Natural Science Foundation (Nos. SBK201240801, BKs2012384) and the Open Founds of Key Laboratory of Measurement and Control of Complex Systems of Engineering, Ministry of Education (No. MCCSE2013A04).

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Authors and Affiliations

  1. School of Automation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, 210016, People’s Republic of China

    Tao Li & Shaojie Zhang

  2. Key Laboratory of Measurement and Control of CSE (School of Automation, Southeast University), Ministry of Education, Nanjing, 210096, People’s Republic of China

    Tao Li, Guobao Zhang & Shumin Fei

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  1. Tao Li
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Correspondence to Tao Li.

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Li, T., Zhang, G., Fei, S. et al. Further Criteria on Master–Slave Synchronization in Chaotic Lur’e Systems Using Delay Feedback Control. Circuits Syst Signal Process 35, 2992–3014 (2016). https://doi.org/10.1007/s00034-015-0167-5

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