Design of Integral-Based HOSM Controller Under Perturbations of Unknown Magnitudes

This article is committed to the establishment of an integral-based high-order sliding mode (iHOSM) controller for one category of nonlinear systems when confronted with perturbations with unknown magnitudes. A striking characteristic is that an integral dynamics is deftly constructed and then incorporated into the original sliding mode system to dispose of the perturbations of unknown magnitudes. On account of the new sliding mode dynamics, we explicitly introduce a systematic design protocol to dexterously design a new iHOSM controller. This is fulfilled through amending the technique of adding a power integrator. The theoretical justification has been guaranteed by the rigorous Lyapunov analysis. The investigations of two elucidative examples are provided to validate the validity and feasibility of the designed methodology.