Finite-time control for systems subject to multiple disturbances

Finite-time stabilisation is studied for a class of nonlinear systems subject to multiple disturbances, in which, the disturbances are divided into two classes, one is the disturbance with partly known information, another is uncertain bounded disturbances. The first one is estimated by constructing an adaptive disturbance observer (ADO), the unknown nonlinear function is approximated by the fuzzy logic systems. Then a finite-time composite controller is constructed by incorporating the disturbance observer-based control (DOBC) with the finite-time stability theory, under which the system state tends to be stable within a finite time. Eventually, the manoeuvrability and validity of the presented tactics are verified by simulation examples.