Impulsive second-order sliding mode control in reduced information environment

The perturbed system with input-output dynamics of arbitrary and well-defined relative degree is considered in a reduced information environment. A novel impulsive second-order sliding mode control in the reduced information environment is proposed. The almost instantaneous convergence to the origin is achieved via impulsive control acting in a concert with second-order sliding mode control, specifically supertwisting and twisting algorithms. The impulsive actions are implemented in a piecewise constant format. Numerical examples illustrate the efficiency of the proposed control algorithms.