New Sliding Hyperplane for Achieving Bounded Output Performance in DSMC

Sliding mode control strategies for discrete-time systems offer many advantages, such as high computational efficiency and a high degree of robustness with respect to disturbance. However, such strategies are typically only concerned with guiding the evolution of a virtual sliding variable, rather than the real output of the controlled plant. As a result, imposing practical bounds on the motion of the system may be challenging in sliding mode control. In response to this problem, we have introduced a new sliding hyperplane for discrete-time systems, with the aim of establishing a direct proportional relationship between the virtual sliding variable and the actual system output. As a result, when the sliding variable becomes strictly bounded during the control process, system output will become explicitly limited as well.