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Fractional dynamic sliding mode control for non-identical uncertain fractional chaotic systems

Fractional dynamic sliding mode control for non-identical uncertain fractional chaotic systems Using the fractional calculus a novel dynamic sliding mode control is proposed for control and synchronisation between different fractional chaotic systems with matched disturbances. Lyapunov stability theory has guaranteed the stability of the closed-loop system. The synchronisation and control of two chaotic Lorenz-Stenflo (LS) and Qi systems in master-slave configuration are realised by the presented controller. Furthermore, the obtained chaotic fractional LS and Qi motions are sorted out for qualitative and quantitative study using Lyapunov exponents and bifurcation diagrams with respect to fractional-order of the systems. In the fractional-order LS and Qi systems chaos can exist with order as low as 3.76 and 3.48, respectively. The control method is presented for eliminating chattering disadvantage of sliding mode control in a finite time. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png International Journal of Systems, Control and Communications Inderscience Publishers

Fractional dynamic sliding mode control for non-identical uncertain fractional chaotic systems

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Publisher
Inderscience Publishers
Copyright
Copyright © Inderscience Enterprises Ltd
ISSN
1755-9340
eISSN
1755-9359
DOI
10.1504/IJSCC.2021.114600
Publisher site
See Article on Publisher Site

Abstract

Using the fractional calculus a novel dynamic sliding mode control is proposed for control and synchronisation between different fractional chaotic systems with matched disturbances. Lyapunov stability theory has guaranteed the stability of the closed-loop system. The synchronisation and control of two chaotic Lorenz-Stenflo (LS) and Qi systems in master-slave configuration are realised by the presented controller. Furthermore, the obtained chaotic fractional LS and Qi motions are sorted out for qualitative and quantitative study using Lyapunov exponents and bifurcation diagrams with respect to fractional-order of the systems. In the fractional-order LS and Qi systems chaos can exist with order as low as 3.76 and 3.48, respectively. The control method is presented for eliminating chattering disadvantage of sliding mode control in a finite time.

Journal

International Journal of Systems, Control and Communications – Inderscience Publishers

Published: Jan 1, 2021

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