A unified control approach to finite-time stabilization of SOSM dynamics subject to an output constraint

Highlights：

• This paper investigates the control design problem for the second-order sliding mode (SOSM) dynamics with mismatched uncertainty subject to the output constraint by means of the adding a power integrator technique. An unified method through the barrier Lyapunov function (BLF) technique and adding a power integrator technique has been proposed. The contributions of the paper can be summarized as follows.

• This is the first time to investigate the stabilization problem for the SOSM dynamics with mismatched uncertainty subject to output constraint.

• The homogeneity of the SOSM control method holds due to the modified BLF.

• The proposed method can deal with the symmetric output constraint as well as the asymmetric output constraint.

• The developed SOSM controller has the generic property since it is also valid in the absence of the output constraint or the mismatched uncertainty.