Finite-time stabilization of a non-autonomous chaotic rotating mechanical system

This paper presents robust adaptive controllers for finite-time stabilization of non-autonomous chaotic horizontal platform systems (HPSs). The effects of uncertainties, unknown parameters and input nonlinearities are fully taken into account. Appropriate adaptation laws are designed to undertake the unknown parameters. Using the adaptation laws and finite-time control theory, first a robust adaptive controller is derived to stabilize the non-autonomous uncertain HPS in finite time. Then, considering the effects of input nonlinearities, another finite-time controller is introduced to stabilize the uncertain HPS with nonlinear control inputs. The finite-time stability and convergence of the proposed schemes are analytically proved. Two illustrative examples are given to show the robustness and feasibility of the proposed finite-time controllers.