Abstract
The current work develops a new approach to handle the second-order sliding mode (SOSM) controller design with mismatched term and time-varying output constraint. A novel time-varying Barrier Lyapunov Function (BLF) is firstly constructed to deal with the time-varying output constraint. A new SOSM dynamics subject to mismatched terms is established for the purpose of uncertainty reduction in control input channels. Meanwhile, by incorporating the time-varying BLF into the adding a power integrator (API) technique, a new finite-time SOSM controller, which can ensure that the system output variable will not violate the boundary of the constrained region, is explicitly constructed. Finally, a simulation example is given to illustrate the feasibility of the proposed SOSM algorithm.
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