Aiming at the problems of frequent overshoot and slow response time in space vector direct torque control system permanent magnet synchronous motor, a strategy based on fast-super-twisting algorithm was proposed. Based traditional super-twisting algorithm, fast terminal sliding mode reaching law (FTSMRL) is introduced strategy, which improves algorithm’s robustness convergence speed, suppresses...

In this work, a dynamic feedback control law based on the well known “Twisting” algorithm is under study. Dynamic compensation is added to the Twisting algorithm, in order to use position feedback only, and keep properties such as finite time stability. In some mechanical applications, an observer or a differentiator design is required for control purposes when the whole state space is not avai...

This paper presents a speed estimation scheme based on second-order sliding-mode Super Twisting Algorithm (STA) and Model Reference Adaptive System (MRAS) estimation theory for Sensorless control of multiphase induction machine. A stator current observer is designed based on the STA, which is utilized to take the place of the reference voltage model of the standard MRAS algorithm. The observer ...

A recursive algorithm for parameter estimation converging in finite time is introduced. It includes as special case the classical Linear Recursive Square algorithm, and is a generalization of the Super-Twisting Algorithm (STA), a second order sliding mode algorithm, to time-varying systems.

We introduce a new class of 2-cocycles defined explicitly on the generators of certain multiparameter standard quantum groups. These allow us, through the process of twisting the familiar standard quantum groups, to generate new as well as previously known examples of non-standard quantum groups. In particular we are able to construct generalisations of both the Cremmer-Gervais deformation of S...

We find the general solution to the twisting equation in the tensor bialgebra T (R) of an associative unital ring R viewed as that of fundamental representation for a universal enveloping Lie algebra and its quantum deformations. We suggest a procedure of constructing twisting cocycles belonging to a given quasitriangular subbialgebra H ⊂ T (R). This algorithm generalizes Reshetikhin’s approach...