Fractional Order Sliding Mode Controller Design for Fractional Order Dynamic Systems

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Fractional order sliding mode control with reaching law approach (2010, methodology): “In [18–21], the integer order sliding mode is achieved via a number of fractional order adaptation laws operating on neural and fuzzy models, and in [22], preliminary results of the reaching law based fractional order control are considered on linear systems.”
Sliding mode control approaches to the robust regulation of linear multivariable fractional‐order dynamics (2010, methodology): “containing fractional-order derivatives were used in both works [22, 24].”
On the sliding‐mode control of fractional‐order nonlinear uncertain dynamics (2016, methodology): “In [17], with reference to a more general noncommensurate form of the considered class of systems, a discontinuous control law was suggested under the strong requirement that neither uncertainties nor perturbations were admitted to affect the plant to be controlled.”