Browsing by Author "Kuntanapreeda, Suwat"

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LMI-based stabilization of a class of fractional-order chaotic systems
(Springer, 2013) Faieghi, Mohammadreza; Baleanu, Dumitru; Kuntanapreeda, Suwat; Delavari, Hadi; Baleanu, Dumitru
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.
Robust stabilization of fractional-order chaotic systems with linear controllers: LMI-based sufficient conditions
(Sage Publications Ltd, 2014) Faieghi, Mohammad Reza; Baleanu, Dumitru; Kuntanapreeda, Suwat; Delavari, Hadi; Baleanu, Dumitru; 56389
This paper is concerned with the problem of robust state feedback controller design to suppress fractional-order chaotic systems. A general class of fractional-order chaotic systems is considered and it is assumed that the systems' equations depend on bounded uncertain parameters. We transform the chaotic system equations into linear interval systems, and a sufficient stabilizability condition is derived in terms of linear matrix inequality (LMI). Then, an appropriate feedback gain is introduced to bring the chaotic states to the origin. Such design will result in a simple but effective controller. Several numerical simulations have been carried out to verify the effectiveness of the theoretic results.