Control of Fractional-Order Nonlinear Systems: A Review

• Autorzy: Petráš I. , Bednárová D.
• Języki publikacji: EN

Abstrakty

EN

This paper deals with the control of the fractional-order nonlinear systems. A list of the control strategies as well as synchronization of the chaotic systems is presented. An illustrative example of sliding mode control (SMC) of the fractional-order (commensurate and incommensurate) financial system is described and commented together with the simulation results.

Słowa kluczowe

EN

control; nonlinear systems; review

PL

sterowanie; systemy nielioniowe; przegląd

• Wydawca: Oficyna Wydawnicza Politechniki Białostockiej
• Czasopismo: Acta Mechanica et Automatica
• Rocznik: 2011
• Tom: Vol. 5, no. 2
• Strony: 96--100
• Opis fizyczny: Bibliogr. 13 poz., Rys., Wykr.

Twórcy

autor

Petráš I.

autor

Bednárová D.

• Technical University of Košice, Slovakia,

Bibliografia

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• 2. Andrievskii B. R., Fradkov A. L. (2004). Control of Chaos: Methods and Applications. II. Applications, Automation and Remote Control, Vol. 65, 505-533.
• 3. Dadras S., Momeni H. R. (2010). Control of a fractionalorder economical system via sliding mode, Physica A, Vol. 389, 2434-2442.
• 4. Li C. P., Deng W. H., Xu D. (2006). Chaos synchronization of the Chua system with a fractional order, Physica A, Vol. 360, 171-185.
• 5. Lu J. G. (2005). Chaotic dynamics and synchronization of fractional-order Chua's circuits with a piecewise-linear nonlinearity, Int. J. Mod. Phys. B, Vol. 19, 3249-3259.
• 6. Monje C. A., Chen Y. Q., Vinagre B. M., Xue D., Feliu V.(2010). Fractional Order Systems and Control - Fundamentals and Applications, Advanced Industrial Control Series, London: Springer.
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• 8. Peng G. (2007). Synchronization of fractional order chaotic systems, Physics Letters A, Vol. 363, 426-432.
• 9. Petráš I. (2011). Fractional - Order Nonlinear Systems: Modeling, Analysis and Simulation, HEP, Springer, Series: Nonlinear Physical Science.
• 10. Petráš I., Bednárová D. (2010). Control of fractional-order chaotic systems: A survey of control strategies, Proc. of the of the 4th IFAC Workshop on Fractional Differentiation and Its Applications – FDA’10, University of Extremadura, Badajoz, Spain, October 18-20.
• 11. Podlubny I. (1999). Fractional Differential Equations, Academic Press, San Diego.
• 12. Tavazoei M. S., Haeri M., Bolouki S., Siami M. (2009). Using fractional-order integrator to control chaos in singleinput chaotic systems, Nonlinear Dyn., Vol. 55, 179-190.
• 13. Zhu H, Zhou S., He Z. (2009). Chaos synchronization of the fractional-order Chen's system, Chaos, Solitons and Fractals, Vol. 41, 2733-2740.