Synchronization Controller Design for Chaotic System with Input Sampled-Data Missing

Article Preview

Abstract:

For the chaotic systems with sampled data input, the discontinuous nonlinear system is transformed into a discrete system, and the switched system is proposed considering the control inputs missing. By using the zero input method, a sufficient condition is derived for the exponential stability of the error system. Simulation results illustrate the effectiveness of the proposed sampled-data control method.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

1572-1577

Citation:

Online since:

December 2014

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2015 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

* - Corresponding Author

[1] G.W. Zheng, J.H. Park, H.Y. Su, C. Jian, Discontinuous Lyapunov functional approach to synchronization of time-delay neural networks using sampled-data. Nonlinear Dynamics. 69, (2012) 2021–(2030).

DOI: 10.1007/s11071-012-0404-4

Google Scholar

[2] S. Jeeva Sathya Theesar., Santo Banerjee., P. Balasubramaniam., Synchronization of chaotic systems under sampled-data control. 70, (2012) 1977–(1987).

DOI: 10.1007/s11071-012-0590-0

Google Scholar

[3] B. Bamieh, J.B. Pearson, B.A. Francis, A lifting technique for linear periodic systems with applications to sampled-data control. Systems & Control Letters. 17 (2), (1991) 79-88.

DOI: 10.1016/0167-6911(91)90033-b

Google Scholar

[4] B. Bamieh, J.B. Pearson, A general framework for linear periodic systems with application to H-infinit sampled-data control. IEEE Transactions on Automatic Control. 37(4), (1992) 418-435.

DOI: 10.1109/9.126576

Google Scholar

[5] H.T. Toivonen, Sampled-data control of continuous-time systems with an H-infinit optimality criterion. Automatic. 28(1), (1992)45-54.

DOI: 10.1016/0005-1098(92)90006-2

Google Scholar

[6] N. Sivashankar, P.P. Khargonekar, Characterization of the L2-induced norm for linear systems with jumps with applications to sampled-data systems. SIAM Journal on Control and Optimization. 32(4), (1994) 1128-1150.

DOI: 10.1137/s0363012991223121

Google Scholar

[7] A. Ichikawa, H. Katayama, Linear time varying systems and sampled-data systems. Springer-Verlag Berlin. (2001).

Google Scholar

[8] P. Shi, Filtering on sampled-data systems with parametric uncertainty. IEEE Transactions on Automatic Control. 43(7), (1998) 1022-1027.

DOI: 10.1109/9.701119

Google Scholar

[9] P. Shi, Robust filtering for uncertain delay systems under sampled measurements. Signal Processing. 58(2), (1997) 131-151.

DOI: 10.1016/s0165-1684(97)00019-4

Google Scholar

[10] E. Fridam, U. Shaked, V. Suplin, Input/output delay approach to robust sampled-data H-infinit control. Systems & Control Letters. 54(3), (2007) 271-282.

DOI: 10.1016/j.sysconle.2004.08.012

Google Scholar

[11] E. Fridman, A. Seuret, J. Richard, Robust sampled-data stabilization of linear systems: an input delay approach. Automatic. 40(8), (2004) 1441-1446.

DOI: 10.1016/j.automatica.2004.03.003

Google Scholar

[12] W A Zhang. Stability analysis of networked control systems, PhD thesis, Dept. of Electrical Engineering and Computer Science, Case Western Reserve University, (2001).

Google Scholar

[13] A Rabello, A Bhaya. Stability of asynchronous dynamical systems with rate constraints and application, IEE Proceedings-Control Theory Application, 150(5), (2003) 546-550.

DOI: 10.1049/ip-cta:20030704

Google Scholar

[14] Q Ling, M D Lemmon. Robust performance of soft real-time networked control systems with data dropouts, Proceedings of the 41st IEEE Conference on Decision and Control, (2002) 1225-1230.

DOI: 10.1109/cdc.2002.1184681

Google Scholar

[15] Y Cao, Y Sun, C Cheng. Delay dependent robust stabilization of uncertain systems with multiple state delays, IEEE Transactions on Automatic Control, 43 (11), (1998) 1608-1612.

DOI: 10.1109/9.728880

Google Scholar

[16] D Liberzon. Switching in systems and control [M], Boston, MA: Birkhauser, (2003).

Google Scholar

[17] W A Zhang, L Yu. Stabilization of sampled-data control systems with control inputs missing [J], IEEE Transactions on Automatic Control, 55(7), (2010) 447-452.

DOI: 10.1109/tac.2009.2036325

Google Scholar

[18] K J Astrom, B Witemnark. Computer-Controlled Systems: Theory and Design, Drded, Englewood Cliffs, NJ: Prentice Hall, (1997).

Google Scholar