T-S Fuzzy Model Establishment and Control of Discrete Chaotic System

Zhi Hong Yang

doi:10.4028/www.scientific.net/AMR.787.846

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HomeAdvanced Materials ResearchAdvanced Materials Research Vol. 787T-S Fuzzy Model Establishment and Control of...

T-S Fuzzy Model Establishment and Control of Discrete Chaotic System

Abstract:

The problem of fuzzy sliding mode control of discrete chaotic system is studied. Discrete chaotic system is described based on T-S fuzzy models, and the system is translated into local linear model by fuzzy method. On the basis of Lyapunov stability theorem and approaching law method, a novel sliding mode controller is designed in the paper. The controller insures the stability of global fuzzy model. The controlled certain and uncertain Henon systems are simulated with Matlab, and the numerical results demonstrate the validity and robustness of the control scheme.

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Periodical:

Advanced Materials Research (Volume 787)

Pages:

846-849

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.787.846

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Online since:

September 2013

Authors:

Zhi Hong Yang

Keywords:

Discrete Chaotic System, Sliding Mode Control, T-S Fuzzy Model

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References

[1] Chen G. Controlling chaos and bifurcations in engineering systems. New York: CRC Press (1999).

Google Scholar

[2] Ott E, Grebogi C, Yorke J A. Controlling chaos. Phys. Rev. Lett. Vol. 64(1990), p.1196.

DOI: 10.1103/physrevlett.64.1196

Google Scholar

[3] G. Chen, X. Dong. From Chaos to Order: Methodologies, Perspectives and Applications. Singapore: World Scientific Pub. Co. (1998).

Google Scholar

[4] Takagi T, Sugeno M. Fuzzy identification of systems and its application to modeling and control. IEEE Trans. Syst., Man, Cybern. Vol. 15(1985), p.116.

DOI: 10.1109/tsmc.1985.6313399

Google Scholar

[5] Gang Feng, Chen G. Adaptiv control of discrete-time chaotic system: a fuzzy control approach. Chaos, Solitons and Fractals Vol. 23(2005), p.459.

DOI: 10.1016/j.chaos.2004.04.013

Google Scholar

[6] Zhihong Yang, Qionghui Yao, Changhong Yang. Control and sychronization of Henon chaos via a novel variable structure control．Dynamics of Continuous，Discrete and Impulsive Systems series B Vol. 11(2004), p.665.

Google Scholar

[7] Henon M. A two dimensional map with a strange attractor. Commun. Math. Phys. Vol. 50(1976), p.69.

Google Scholar

[8] W. Gao, Variable Structure Control Theory and Design Procedures. Beijing: Press of Science(1998).

Google Scholar