Fractional terminal sliding mode control design for a class of dynamical systems with uncertainty

By S. Dadras, H. Momeni. 2012

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Lyapunov functions for fractional order systems (2014, background): “Some Lyapunov functions have been proposed in works related to fractional sliding mode control [21–23].”
Practical Tracking Control of Robot Manipulators With Continuous Fractional-Order Nonsingular Terminal Sliding Mode (2016, methodology): “Existing stability analyses for TDE-based FONTSM controller [19] and other FOSM controllers [24], [25] are usually given under the condition that the trajectory states will reach and stay on the sliding surface.”
Fractional-order nonsingular terminal sliding mode control of hydraulic manipulators using time delay estimation (2016, methodology): “…have been widely used for both IO and FO systems, such as DC-DC buck converter (Hosseinnia et al., 2012), second-order dynamical systems (Dadras and Momeni, 2012), noncommensurable plants (Valério and Costa, 2014) and fractional chaotic systems (Xu et al., 2013; Hosseinnia et al.,…”