Adaptive Exponent Parameter: a Robust Control Solution Balancing Between Linear and Twisting Controllers

In this paper, a new controller is proposed, based on a well known homogeneous controller. The suggested controller gives rise to an efficient trade-off between the standard linear state feedback and twisting algorithm. As a consequence, the obtained controller has the advantages of both controllers with their drawbacks reduced. To achieve this objective, a parameter on the exponent terms of the homogeneous controller is adapted. The convergence of the closed loop system to a vicinity of the origin is given. Finally, some simulations validate the effectiveness of the proposed controller.