Robust stabilization for a class of high-order nonlinear lower-triangular systems with state constraints

This paper studies the robust stabilization problem for a class of uncertain high-order nonlinear lower-triangular systems subject to state constraints. A constructive method is developed to design a state-feedback controller for the system such that the closed-loop system is asymptotically stable in a domain while satisfying the state constraint is not disobeyed, and all signals in the closed-loop are bounded. In the end, a simulation example is given to illustrate the validity of the developed results.