and the inverse transformation is: [𝑣𝛼𝑣𝛽]=[cos𝜃sin𝜃−sin𝜃cos𝜃]·[𝑣𝑑𝑣𝑞][vαvβ]=[cosθ−sinθsinθcosθ]·[vdvq] (11) Considering the variables vα and vβ concerning expressions obtained from (8) and (9), we obtain the variables vd and vq [...
In the continuous limit of many collisions, b N ≫ 1 , the following simple expression for the inverse of time τ n between consecutive collisions, t 0 τ n ≈ b 2 N sin 2 ( n / b N ) ≈ b 2 N cos 2 ( n ′ / b N ) (35) where n ′ = n − Π / 2 . In ...
mathematics Article An Efficient Numerical Technique for the Nonlinear Fractional Kolmogorov–Petrovskii–Piskunov Equation Pundikala Veeresha 1 , Doddabhadrappla Gowda Prakasha 1 and Dumitru Baleanu 2,3,* 1 Department of Mathematics, Faculty of Science & Technology, Karnatak University, Dharwad ...
For the uncertainty caused by the time-varying modeling parameters with the sailing speed in the course control of underactuated ships, a novel identification method based on an adaptive neural fuzzy model (ANFM) is proposed to approximate the inverse dynamic characteristics of the ship in this pap...
These temperatures were interpolated to a continuous raster surface, using an inverse distance weighted (IDW) interpolation [22]. IDW is a deterministic interpolation method that give greater weight to points closer to the unknown point that we want to estimate, than to distant ones. Cell values ...
These calculations are summarized as follows: «ff « ff dd dq 1 " Vdc ed ` vd ` 3ωL ˆ iq eq ` vq ´ 3ωL ˆ id (8) To obtain the duty ratios in the a–b–c frame coordinates, one can use the inverse matrix transformation, which can be expressed as the following:...
The experimental results show that the inclusion of the PI inverse controller and the Preisach inverse controller improved the tracking performance of the tripartite PI inverse model by more than 80%. Keywords: piezoelectric actuators; hysteresis nonlinearity; Prandtl–Ishlinskii (PI) model; hysteresis...