Practical stabilisation and transient shaping of discrete-time plants with saturating actuators and matched disturbances

This study proposes the use of a time-varying sliding surface for robust transient shaping of linear discrete-time multi-input plants subject to saturating actuators, in the presence of bounded matched uncertainties. A constructive procedure is presented, ultimate boundedness of state trajectories is proved and a result about the choice of tuning parameters for robust transient shaping is given. Simulation results show remarkable improvements in dynamic performances with respect to existing literature.