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Title: Control of a novel chaotic fractional order system using a state feedback technique
Author: Razminia, A.
Torres, D. F. M.
Keywords: Chaos
Control of chaos
Fractional order systems
Stability tests
Chaotic fractional-order systems
Control methodology
Feedback techniques
Fractional-order chaotic systems
Fractional-order systems
Unstable equilibrium points
Chaos theory
Stability criteria
State feedback
Chaotic systems
Issue Date: 2013
Publisher: Elsevier
Abstract: We consider a new fractional order chaotic system displaying an interesting behavior. A necessary condition for the system to remain chaotic is derived. It is found that chaos exists in the system with order less than three. Using the Routh-Hurwitz and the Matignon stability criteria, we analyze the novel chaotic fractional order system and propose a control methodology that is better than the nonlinear counterparts available in the literature, in the sense of simplicity of implementation and analysis. A scalar control input that excites only one of the states is proposed, and sufficient conditions for the controller gain to stabilize the unstable equilibrium points derived. Numerical simulations confirm the theoretical analysis. © 2013 Elsevier Ltd. All rights reserved.
Peer review: yes
DOI: 10.1016/j.mechatronics.2013.03.002
ISSN: 0957-4158
Appears in Collections:CIDMA - Artigos

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