In this paper, a new open-loop PD2D? type fractional order iterative learning control (ILC) is studied for joint space trajectory tracking of linearized uncertain robotic arm. The robust convergent analysis the errors has been done in time domain where it theoretically proven that boundednesses error are guaranteed presence model uncertainty. convergence proposed ILC law mathematically using Gr...

Based on recent studies by Guy Jumarie [1] which defines probability density of fractional order and fractional moments by using fractional calculus (fractional derivatives and fractional integration), this study expands the concept of probability density of fractional order by defining the fractional probability measure, which leads to a fractional probability theory parallel to the classical ...

We propose a fractional-order WINDMI system, as a generalization of an integer-order system developed by Sprott 2003 . The considered synchronization scheme consists of identical master and slave fractional-order WINDMI systems coupled by linear state error variables. Based on the stability theory of nonlinear fractional-order systems, linear state error feedback control technique is applied to...