Control of a novel chaotic fractional order system using a state feedback techn...

• Author(s): Razminia, A. ; Torres, D. F. M.
• Date: 2013
• Persistent ID: http://hdl.handle.net/10773/11881
• Origin: RIA - Repositório Institucional da Universidade de Aveiro
• Subject(s): 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
• Document Type: Article
• Language: English

Description

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.