Synchronization via sampled-data output-feedback for a class of chaotic systems

This paper considers the problem of using discrete-time output-feedback to synchronize the slave chaotic system with the master chaotic system. The problem is of practical importance since in practice not all the states are measurable and the measurement is transmitted as a sampled signal. In this paper, sampled-data output-feedback is used to control the slave system and a sampling period is carefully determined such that the slave system states will asymptotically converge to the master system states. The effectiveness of the proposed approach is also illustrated by the simulation for a chaotic Chua oscillator.

[1]  H. Yau,et al.  Chaos synchronization using fuzzy logic controller , 2008 .

[2]  Karl Johan Åström,et al.  Computer-Controlled Systems: Theory and Design , 1984 .

[3]  Chuandong Li,et al.  Chaotic synchronization by the intermittent feedback method , 2010, J. Comput. Appl. Math..

[4]  M. M. El-Dessoky,et al.  Adaptive synchronization for four-scroll attractor with fully unknown parameters , 2006 .

[5]  José Manoel Balthazar,et al.  On control and synchronization in chaotic and hyperchaotic systems via linear feedback control , 2008 .

[6]  Kazuo Tanaka,et al.  Fuzzy control of chaotic systems using LMIs: regulation, synchronization and chaos model following , 1998, 1998 IEEE International Conference on Fuzzy Systems Proceedings. IEEE World Congress on Computational Intelligence (Cat. No.98CH36228).

[7]  Hassan K. Khalil,et al.  Multirate Sampled-Data Output Feedback Control With Application to Smart Material Actuated Systems , 2009, IEEE Transactions on Automatic Control.

[8]  Jun-an Lu,et al.  Dual synchronization based on two different chaotic systems , 2007 .

[9]  Shihua Chen,et al.  Impulsive control and synchronization of unified chaotic system , 2004 .

[10]  S. M. Lee,et al.  Adaptive synchronization of Genesio-Tesi chaotic system via a novel feedback control , 2007 .

[11]  Manfeng Hu,et al.  Adaptive feedback controller for projective synchronization , 2008 .

[12]  Guanrong Chen,et al.  Synchronization of delayed chaotic systems with parameter mismatches by using intermittent linear state feedback , 2009 .

[13]  Chuandong Li,et al.  Anticipating synchronization through optimal feedback control , 2012, J. Glob. Optim..

[14]  Hassan K. Khalil,et al.  Performance recovery under output feedback sampled-data stabilization of a class of nonlinear systems , 2004, IEEE Transactions on Automatic Control.

[15]  Xinzhi Liu,et al.  Impulsive stabilization and control of chaotic system , 2001 .

[16]  Z. Zuo,et al.  A new method for exponential synchronization of chaotic delayed systems via intermittent control , 2010 .

[17]  Yang Tao,et al.  Impulsive stabilization for control and synchronization of chaotic systems: theory and application to secure communication , 1997 .

[18]  Chuandong Li,et al.  Synchronization of a class of coupled chaotic delayed systems with parameter mismatch. , 2007, Chaos.

[19]  Karl Johan Åström,et al.  Computer-controlled systems : theory and design (3. rev. Dover ed.) , 2011 .

[20]  Louis M Pecora,et al.  Synchronization of chaotic systems. , 2015, Chaos.