Sensor-less Control of Nonlinear Systems in Brunovsky Form Using Super-twisting Differentiator

This paper presents an observer based control scheme to control chaos in a class of nonlinear systems in the presence of external disturbances. In order to control chaos, a sliding mode control is chosen as the control technique. The controller requires a measured signal and its time derivative which is built with the aid of super-twisting differentiator. This technique is of a sensor-less strategy to eliminate the need for extra sensors. The technique is shown to reduce complexity and the measurement noise. The effectiveness of the proposed control scheme, consisting of a sliding mode for control and super-twisting algorithm for differentiation is illustrated through simulation.

Keywords:

chaos , modified Duffing system , sliding mode control , super-twisting differntation