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LMI-based stabilization of a class of fractional-order chaotic systems |
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| Authors: | Mohammadreza Faieghi Suwat Kuntanapreeda Hadi Delavari Dumitru Baleanu |
| Affiliation: | 1. Department of Electrical Engineering, Miyaneh Branch, Islamic Azad University, Miyaneh, Iran 2. Department of Mechanical and Aerospace Engineering, Faculty of Engineering, King Mongkut’s University of Technology North Bangkok, Bangkok, 10800, Thailand 3. Department of Electrical Engineering, Hamedan University of Technology, Hamedan, 65155, Iran 4. Cankaya University, Ankara, Turkey 5. Institute of Space Sciences, Magurele-Bucharest, Romania |
| Abstract: | Based on the theory of stabilization of fractional-order LTI interval systems, a simple controller for stabilization of a class of fractional-order chaotic systems is proposed in this paper. We consider the structure of the chaotic systems as fractional-order LTI interval systems due to the limited amplitude of chaotic trajectories. We introduce a simple feedback controller for the interval system and then, based on a recently established theorem for stabilization of interval systems, we reach to a linear matrix inequality (LMI) problem. Solving the LMI yields an appropriate decoupling feedback control law which suffices to bring the chaotic trajectories to the origin. Several illustrative examples are given which show the effectiveness of the method. |
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