Optimal super-twisting algorithm with time delay estimation for robot manipulators based on feedback linearization

In this paper, an Optimal Super-Twisting Algorithm (OSTA) with time delay estimation is designed based on Input/Output feedback linearization for uncertain robot manipulators. The design procedure consists on three steps. Firstly, an Input/Output feedback linearization is applied to transform the nonlinear model into a linear equivalent one. Secondly, by defining a quadratic performance, an optimal sliding surface will be designed. Finally, a super-twisting algorithm with time delay estimation is proposed for high accuracy tracking trajectory. Lyapunov theory is used to prove the finite-time convergence of the sliding surface and its derivative. This structure is used to estimate unknown dynamics and to reduce the control effort and the chattering phenomenon.