Higher order sliding mode control based on integral sliding mode

High Order Sliding Mode Control for the Aircraft Antiskid Braking System

“…Sliding mode control has a strong robustness for its insensitive to parameters and resistance to disturbance [2]. However, due to the existence chattering phenomenon the application of sliding mode control face challenge.…”

“…References [2][3][4] proposed a method of high order sliding mode controller using the integral sliding mode for uncertain nonlinear systems ensuring robust tracking performance and finite time theory is used. Reference [5] developed a higherorder sliding mode observer based on super twisting algorithm for state and unknown input estimations.…”

Integral sliding mode control of an extended Heisenberg system

“…In [23], the robustness properties of the integral sliding mode controller are extended to unmatched vanishing uncertainties. An integral sliding mode controller, which need off-line initialization, is given in [24]. In [25], the authors combine integral sliding mode control with other robust techniques like the H ∞ approach.…”

High Order Sliding Mode Control for Suppression of Nonlinear Dynamics in Mechanical Systems with Friction

“…undesired oscillations of the relevant signals causing vibrations and unacceptable mechanical wear (Hangos et al, 2004). A possibility to overcome this problem is to rely on high order sliding mode control (Laghrouche et al, 2007;Levant, 2005;Levant, 2001). In (Hernandez-Suarez et al, 2009) we have applied the integral high order sliding mode control (IHOSMC), to suppress stick-slip oscillation in an oil-drillstring.…”

“…The resulting feedback control approach leads to a robust feedback control scheme that deals with uncertainties in the friction model and drillstrings parameters. The IHOSMC approach consider the integration of a fractional power of the absolute value of the tracking error, coupled with the sign function (Laghrouche et al, 2007;Aguilar-Lopez et al, 2010). This control structure provides simplification of the control law and good robustness properties.…”