Learn More
Resumen— A second order sliding mode controller, the so-called " Twisting " algorithm is under study. A non-smooth strict Lyapunov function is proposed, so global finite time stability for this algorithm can be proved, even in the case when it is affected by bounded external perturbations. The strict Lyapunov function gives the possibility to estimate an(More)
—The differentiators based on the Super-Twisting Algorithm (STA) yield finite-time and theoretically exact convergence to the derivative of the input signal, whenever this derivative is Lipschitz. However, the convergence time grows unboundedly when the initial conditions of the differentiation error grow. In this paper a Uniform Robust Exact Differentiator(More)
—In this paper a novel, Lyapunov-based, variable-gain super-twisting algorithm is proposed. It ensures for linear time invariant systems the global, finite-time convergence to the desired sliding surface, when the matched perturbations/uncertainties are Lipschitz-continuous functions of time, that are bounded, together with their derivatives, by known(More)
—A method to compute the differentiation error in presence of bounded measurement noise for the family of Generalized Super-Twisting differentiators is presented. The proposed method allows choosing the optimal gain of each differentiator in the family providing the smallest ultimate bound of the differentiation error. In particular, an heuristic formula(More)
controller is proposed. A drift uncertain term is assumed to be bounded with unknown boundary. The proposed Lyapunov-based approach consists in using dynamically adapted control gains that ensure the establishment, in a finite time, of a second order sliding mode. Finite convergence time is estimated. A numerical example confirms the efficacy of the(More)