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Control of a novel chaotic fractional order system using a state feedback technique
Authors
Abolhassan Razminia
Ahmad
+62 more
Barbara
Cafagna
Cenys
Chen
Chu
Chu
Chua
Couceiro
Dadras
Davis
Debnath
Delavari
Delfim F.M. Torres
Deng
Diethelm
Diethelm
Ehrich
Frederico
Goldman
Grassi
Hilfer
Houfek
Kiani-B
Ladaci
Li
Li
Li
Lin
Luo
Magin
Magin
Malinowska
Matouk
McBride
Miller
Motallebzadeh
Mozyrska
Mozyrska
Nigmatullin
Nigmatullin
Nigmatullin
Nishimoto
Oldham
Oustaloup
Podlubny
Podlubny
Razminia
Ross
Rutman
Sabatier
Scalas
Silva
Song
Tavazoei
Torvik
Udaltsov
Vicente
Wang
Wang
Wang
West
Zhou
Publication date
1 January 2013
Publisher
'Elsevier BV'
Doi
Cite
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on
arXiv
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
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info:doi/10.1016%2Fj.mechatron...
Last time updated on 11/12/2019
Repositório Institucional da Universidade de Aveiro
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oai:ria.ua.pt:10773/11881
Last time updated on 14/03/2014