International Journal of System & Software Engineering

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Stabilization of a Chaotic System Using Fuzzy Parallel Distributed


Affiliations
1 Department of Power and Control, School of Electrical and Computer Engineering, Shiraz University, Shiraz, Iran, Islamic Republic of
2 School of Electrical learning, Shiraz University, Shiraz, Iran, Islamic Republic of
     

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In this article a fuzzy controller is designed for a chaotic model whose structure is represented by the Takagi-Sugeno model. Using the T-S model of chaotic systems, the control algorithm is developed based on parallel distributed compensator concept and the Lyapunov method [1] is used to carry out stability analysis of a real system structure. In terms of PDC fuzzy control theory, the whole control sub-system's fuzzy control can be achieved by each subsystem's control. The simulation results shows the effectiveness and feasibility of the method to stabilize a Lorenz system.

Keywords

Liapanoph, Takagi-Sugeno Fuzzy Model, Parallel Compensator, Fuzzy Controller, Parallel Distributed Controller (PDC).
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  • Aracil, J. & Gordillo, F. (2000). Stability Issues in Fuzzy Control. Springer Verlag.

  • Chen,G. (1999). Controlling Chaos and Bifurcations in Engineering Systems. USA: CRC Press LLC.

  • Farinwata,S.S.,Filev, D. & Langari, R. (2000). Fuzzy Control Synthesis and Analysis.John Wiley.

  • Feng, G. & Chen, G. (2005). Adaptive Control of Discrete-Time Chaotic Systems: A Fuzzy Control Approach.Chaos, Solitons and Fractals, 23(2), 459-467.

  • Tanaka, K. & Wanh, H. O.(2001).Nonlinear Analysis of Fuzzy Control Systems Design and Analysis.John Wiley.


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  • Stabilization of a Chaotic System Using Fuzzy Parallel Distributed

Abstract Views: 372  |  PDF Views: 2

Authors

Saeedeh Zare
Department of Power and Control, School of Electrical and Computer Engineering, Shiraz University, Shiraz, Iran, Islamic Republic of
Faridoon Shabaninia
School of Electrical learning, Shiraz University, Shiraz, Iran, Islamic Republic of

Abstract


In this article a fuzzy controller is designed for a chaotic model whose structure is represented by the Takagi-Sugeno model. Using the T-S model of chaotic systems, the control algorithm is developed based on parallel distributed compensator concept and the Lyapunov method [1] is used to carry out stability analysis of a real system structure. In terms of PDC fuzzy control theory, the whole control sub-system's fuzzy control can be achieved by each subsystem's control. The simulation results shows the effectiveness and feasibility of the method to stabilize a Lorenz system.

Keywords


Liapanoph, Takagi-Sugeno Fuzzy Model, Parallel Compensator, Fuzzy Controller, Parallel Distributed Controller (PDC).

References