H ∞ synchronization of two different discrete-time chaotic systems via a unified model

  • Meiqin Liu
  • Haiyang Chen
  • Senlin Zhang
  • Weihua Sheng
Regular Paper Intelligent and Information Systems
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Abstract

This paper presents some novel synchronization methods for two discrete-time chaotic systems with different time delays, which are transformed into two unified models. First, the H ∞ performance of the synchronization error dynamical system between the drive unified model and the response one is analyzed using the linear matrix inequality (LMI) approach. Second, the novel state feedback controllers are established to guarantee H ∞ performance for the overall system. The parameters of these controllers are determined by solving the eigenvalue problem (EVP). Most discrete-time chaotic systems with or without time delays can be converted into this unified model, and H ∞ synchronization controllers are designed in a unified way. The effectiveness of the proposed design methods are demonstrated by three numerical examples.

Keywords

H∞ synchronization chaotic systems different time delays discrete-time system drive-response conception 
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Copyright information

© Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers and Springer-Verlag Berlin Heidelberg 2015

Authors and Affiliations

  • Meiqin Liu
    • 1
  • Haiyang Chen
    • 2
  • Senlin Zhang
    • 2
  • Weihua Sheng
    • 3
  1. 1.State Key Laboratory of Industrial Control Technology and the College of Electrical EngineeringZhejiang UniversityHangzhouP. R. China
  2. 2.College of Electrical EngineeringZhejiang UniversityHangzhouChina
  3. 3.School of Electrical and Computer EngineeringOklahoma State UniversityStillwaterUSA

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