Global Prescribed-Time Second-Order Sliding Mode Controller Design Subject to Asymmetric Output Constraint

In this work, a prescribed-time second-order sliding mode (SOSM) controller is constructed to address class of nonlinear systems in the presence asymmetric output constraints. To handle constraints, frequently-used barrier Lyapunov function employed. Meanwhile, time-varying scaling introduced ensure convergence closed-loop system. On basis, SOSM by inserting BLF and into modified power integrator technique. The rigorous theoretical analysis indicates that under proposed control scheme, overall system stable without violating distinguishing feature time can be specified beforehand does not depend on any initial conditions. Finally, an academic simulation example provided demonstrate effectiveness presented scheme.