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http://hdl.handle.net/10773/11881
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 Algebra 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 |
URI: | http://hdl.handle.net/10773/11881 |
DOI: | 10.1016/j.mechatronics.2013.03.002 |
ISSN: | 0957-4158 |
Appears in Collections: | CIDMA - Artigos |
Files in This Item:
File | Description | Size | Format | |
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[260]Razminia_Torres_MECH.pdf | 2.18 MB | Adobe PDF | View/Open |
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