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.
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Meiqin Liu received her B.E. and Ph.D. degrees in Control Theory and Control Engineering from Central South University, Changsha, China, in 1994 and 1999, respectively. She was a Post-Doctoral Research Fellow with the Huazhong University of Science and Technology, Wuhan, China, from 1999 to 2001. She was a Visiting Scholar with the University of New Orleans, New Orleans, LA, USA, from 2008 to 2009. She is currently a Professor with the College of Electrical Engineering, Zhejiang University, Hangzhou, China. She is a senior member of IEEE and has participated in organizing several IEEE international conferences. She has authored more than 90 peer reviewed papers, including 48 journal papers. Her current research interests include intelligent systems, information fusion, and nonlinear control.
Haiyang Chen received his B.E. degree in Control Theory and Control Engineering from Zhejiang University, Hangzhou, China, in 2013. He is currently a Ph.D. candidate in the College of Electrical Engineering, Zhejiang University, Hangzhou, China. His current research interests include nonlinear systems and robust control.
Senlin Zhang received his B.E. degree in Control Theory and Control Engineering from the Wuhan University of Technology, Wuhan, China, and his M.E. degree in Control Theory and Control Engineering from Zhejiang University, Hangzhou, China, in 1984 and 1991, respectively. He is currently a Professor with the College of Electrical Engineering, Zhejiang University, Hangzhou, China. His current research interests include textile automation, intelligent systems, and underwater wireless sensor networks.
Weihua Sheng is an associate professor at the School of Electrical and Computer Engineering, Oklahoma State University, USA. He received his Ph.D. degree in Electrical and Computer Engineering from Michigan State University in May 2002, his M.S. and B.S. degrees in Electrical Engineering from Zhejiang University, Hangzhou, China, in 1997 and 1994, respectively. During 1997–1998, He was a research engineer at the R&D center in Huawei Technologies Co., China. He is a senior member of IEEE and has participated in organizing several IEEE international conferences and workshops in the area of intelligent robots and systems. He is the author of one US patent and more than 120 papers in major journals and international conferences. His current research interests include wearable computing, human robot interaction, distributed sensing and control, and intelligent transportation systems. His research is supported by NSF, DoD, DEPSCoR, DoT, etc. He is currently an Associate Editor for IEEE Transactions on Automation Science and Engineering.
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Liu, M., Chen, H., Zhang, S. et al. H ∞ synchronization of two different discrete-time chaotic systems via a unified model. Int. J. Control Autom. Syst. 13, 212–221 (2015). https://doi.org/10.1007/s12555-013-0207-5
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DOI: https://doi.org/10.1007/s12555-013-0207-5