Finite-time stabilization of a class of output-constrained nonlinear systems

This paper is concerned with the finite-time stabilization with output constraint for a class of uncertain nonlinear systems. The systems under consideration admit a structure which includes the one dominated by lower triangular form as a special case. We give some sufficient conditions that enable our design by characterizing the nonlinear functions of the considered systems. Based on the technique of adding one power integrator, both the finite-time stabilizers and the Barrier Lyapunov function are systematically constructed to guarantee finite-time stability of the closed-loop smooth switched system while the output constraint is not violated in a domain. An example is provided to demonstrate the effectiveness of the proposed result.