Solitons propagation dynamics in a saturable PT-symmetric fractional medium

In the current research, the propagation of solitons in a saturable PT-symmetric fractional system is studied by solving nonlinear fractional Schrödinger equation. Three numerical methods are employed for this purpose, namely Monte Carlo based Euler-Lagrange variational schema, split-step method, and extrapolation approach. The results show good agreement and accuracy. The effect of different parameters such as potential depth, Levy indices, and saturation parameter, on the physical properties of the systems such as maximum intensity and soliton width oscillations are considered.

A Design Method of Saturation Test Image Based on CIEDE2000

In order to generate color test image consistent with human perception in aspect of saturation, lightness, and hue of image, we propose a saturation test image design method based on CIEDE2000 color difference formula. This method exploits the subjective saturation parameterC′ of CIEDE2000 to get a series of test images with different saturation but same lightness and hue. It is found experimentally that the vision perception has linear relationship with the saturation parameterC′. This kind of saturation test image has various applications, such as in the checking of color masking effect in visual experiments and the testing of the visual effects of image similarity component.

A Note on a Double Temperature-Cascade Control Strategy for Distillation Columns

A double temperature-cascade control strategy for controlling distillate composition is proposed. The control structure is based on two secondary loops that are designed for tracking the temperature of one tray in the rectifying and stripping section by manipulation of the reflux rate and reboiler heat input, respectively. Simulation results show that when saturations are imposed on controller outputs (reflux rate and heat input) both cascade controllers can act in a switching-like scheme without interaction problems. It is also shown that an adequate setting of a saturation parameter allows a low energy regulation of distillate composition under disturbances in feed composition.

Anti-Windup LPV Control of Magneto-Rheological Dampers

In this paper, we develop a linear parameter varying (LPV) model for the structural systems including the Magneto-Rheological (MR) dampers where the LPV parameter is the MR damper velocity. We then propose an LPV anti-windup control design method to prevent the closed-loop system instability and performance degradation due to the MR damper actuator saturation. The proposed control design method accounts for the actuator nonlinearities by representing the status of the saturated actuator as an additional gain-scheduled varying parameter. The resulting controller is scheduled with respect to the system operating parameter and the actuator saturation parameter. Simulation results demonstrate that the anti-windup compensator scheduled based on the MR damper velocity and the saturation parameter is able to keep the voltage within the specified limits and meets the design requirement of rejecting the effect of the external disturbance signals.