Abstract:

In this paper, the finite time stabilization via state-feedback and adaptive technique was investigated for a class of first-order nonlinear systems with unknown control direction. Using the Nussbaum gain method, an adaptive state-feedback controller is successfully constructed, which guarantees the global stability of the closed-loop system, and the global finite time stability of the original system state (This was rigorously proven with the help of the celebrated L'Hospital’s Rule). A simulation example was provided to illustrate the effectiveness of the proposed approach.

Key words: nonlinear systems; unknown control direction; adaptive control; Nussbaum gain; finite time stability; global stability