In this paper, a combination of fuzzy clustering estimation and sliding mode control is used to control a chaotic system, which its mathematical model is unknown. It is assumed that the chaotic system has an affine form. At first, the nonlinear noninput part of the chaotic system is estimated by a fuzzy model, without using any input noise signal. Without loss of generality, it is assumed that chaotic behavior is appeared in the absence of input signal. In this case, the recurrent property of chaotic behavior is used for estimating its model. After constructing the fuzzy model, which estimates the noninput part of the chaotic system, control and on-line identification of the input-related section are applied. In this step, the system model will be estimated in normal form, such that the dynamic equations can be used in sliding mode control. Finally, the proposed technique is applied to a Lur’e-like dynamic system and the Lorenz system as two illustrative examples of chaotic systems. The simulation results verify the effectiveness of this approach in controlling an unknown chaotic system.
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e-mail: aalasti@sharif.edu
e-mail: salarieh@mehr.sharif.edu
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January 2008
Research Papers
Identification and Control of Chaos Using Fuzzy Clustering and Sliding Mode Control in Unmodeled Affine Dynamical Systems
Aria Alasty,
Aria Alasty
Center of Excellence in Design, Robotics and Automation (CEDRA), Department of Mechanical Engineering,
e-mail: aalasti@sharif.edu
Sharif University of Technology
, Azadi Avenue, Tehran 1458889694, Iran
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Hassan Salarieh
Hassan Salarieh
Center of Excellence in Design, Robotics and Automation (CEDRA), Department of Mechanical Engineering,
e-mail: salarieh@mehr.sharif.edu
Sharif University of Technology
, Azadi Avenue, Tehran 1458889694, Iran
Search for other works by this author on:
Aria Alasty
Center of Excellence in Design, Robotics and Automation (CEDRA), Department of Mechanical Engineering,
Sharif University of Technology
, Azadi Avenue, Tehran 1458889694, Irane-mail: aalasti@sharif.edu
Hassan Salarieh
Center of Excellence in Design, Robotics and Automation (CEDRA), Department of Mechanical Engineering,
Sharif University of Technology
, Azadi Avenue, Tehran 1458889694, Irane-mail: salarieh@mehr.sharif.edu
J. Dyn. Sys., Meas., Control. Jan 2008, 130(1): 011004 (8 pages)
Published Online: December 5, 2007
Article history
Received:
October 19, 2005
Revised:
February 26, 2007
Published:
December 5, 2007
Citation
Alasty, A., and Salarieh, H. (December 5, 2007). "Identification and Control of Chaos Using Fuzzy Clustering and Sliding Mode Control in Unmodeled Affine Dynamical Systems." ASME. J. Dyn. Sys., Meas., Control. January 2008; 130(1): 011004. https://doi.org/10.1115/1.2789472
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