Finite-time stabilization for a class of stochastic output-constrained systems by output feedback

In this paper, the issue of output feedback finite-time stabilization is investigated for a class of p-norm stochastic systems with output constraints. A novel tan-type barrier Lyapunov function (BLF) is constructed to cope with the constraint on the system output, and a finite-time state feedback controller is subsequently designed by the adding a power integrator technique. Then, based on the designed state feedback controller and a devised nonsmooth observer for the unmeasurable state, the output feedback finite-time stabilizer is obtained. Both the theoretical analysis and numerical example demonstrate that the proposed scheme guarantees the finite-time stability of the considered system without violating the prespecified output constraint.