A Fast Finite-Time Output Feedback Control of Uncertain Nonlinear Systems

This work reflects on a fast finite-time control issue of nonlinear systems. Both the unmeasurable states of system and unknown nonlinearities are consideblack in this article. A state observer is constructed to eliminate the constraint that the states of system need to be measublack. By utilizing the fuzzy logic systems (FLSs), the unknown nonlinearities are coped with. The singularity issue from the virtual controllers design is skillfully tackled by constructing the smooth piecewise function. The practical fast finite-time stability criterion (fast FTS criterion) is firstly established. Then, a fast finite time output feedback controller is established. By means of the proposed stability criterion, the fast finite time stability of the closed-loop system is guaranteed. Eventually, two examples demonstrate the efficacy of the proposed control strategy.