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On nonlinear control design for autonomous chaotic systems of integer and fractional orders. (English) Zbl 1073.93027
The authors present via numerical simulations the viability of the “backstepping” method as a design methodology for nonlinear chaos control. Using the “backstepping” method, the authors derive nonlinear controllers for the two chaotic models in this study. The controllers act in such a way as to drive the chaotic output trajectories to the nearest equilibrium points in the basins of attraction. Moreover, the derived controllers show robustness against total system order reduction arising from the use of fractional integrators in the models.

MSC:
93C10 Nonlinear systems in control theory
37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
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