Zero-Width Quasi-Sliding Mode Band in the Presence of Non-Matched Uncertainties

Sliding mode control strategies are well known for ensuring robustness of the system with respect to disturbance and model uncertainties. For continuous-time plants, they achieve this property by confining state a particular hyperplane in space. Contrary this, discrete-time sliding (DSMC) only drive representative point certain vicinity that hyperplane. In established literature on DSMC, width has always been strictly greater than zero presence Thus, ideal motion was considered impossible systems. paper, new approach DSMC design is presented aim driving exactly onto even As result, quasi-sliding band effectively reduced ensured. This achieved proper selection hyperplane, using unique properties relative degree two variables. It further demonstrated that, cases where variable impossible, one can use proposed technique significantly reduce width.