Dynamic Euler Discretization of Exploding Processes

2021 ◽  
Author(s):  
Gael Mboussa Anga
Keyword(s):  
Euler Discretization

scholarly journals Backward Euler discretization of fully nonlinear parabolic problems

2001 ◽  
Vol 71 (237) ◽  
pp. 125-146 ◽  
Author(s):  
C. González ◽  
A. Ostermann ◽  
C. Palencia ◽  
M. Thalhammer
Keyword(s):  
Parabolic Problems ◽  
Nonlinear Parabolic Problems ◽  
Fully Nonlinear ◽  
Nonlinear Parabolic ◽  
Backward Euler ◽  
Euler Discretization

scholarly journals Enhanced Discrete-Time Sliding Mode Filter for Removing Noise

2017 ◽  
Vol 2017 ◽  
pp. 1-12 ◽  
Author(s):  
Shanhai Jin ◽  
Xiaodan Wang ◽  
Yonggao Jin ◽  
Xiaogang Xiong
Keyword(s):  
Discrete Time ◽  
Finite Time ◽  
Position Control ◽  
Sliding Mode ◽  
The State ◽  
Mechatronic System ◽  
Mechatronic Systems ◽  
Numerical Example ◽  
Backward Euler ◽  
Euler Discretization

This paper presents a new discrete-time sliding mode filter for effectively removing noise in control of mechatronic systems. The presented filter is an enhanced version of a sliding mode filter by employing an adaptive gain in determining a virtual desired velocity of the output. Owing to the use of backward Euler discretization, the discrete-time implementation of the filter does not produce chattering, which has been considered as a common problem of sliding mode techniques. Besides that, the state of the filter converges to the desired state in finite time. Numerical example and experimental position control of a mechatronic system are conducted for validating the effectiveness of the filter.

Backward-Euler Discretization of Second-Order Sliding Mode Control and Super-Twisting Observer for Accurate Position Control

2013 ◽  
Author(s):  
Xiaogang Xiong ◽  
Ryo Kikuuwe ◽  
Motoji Yamamoto
Keyword(s):  
Sliding Mode Control ◽  
Control Algorithm ◽  
Position Control ◽  
Sliding Mode ◽  
Second Order ◽  
Mode Control ◽  
Backward Euler ◽  
Euler Discretization ◽  
Accurate Position ◽  
Second Order Sliding Mode

This paper introduces an accurate position control algorithm based on Backward-Euler discretization of a second-order sliding mode control (SOSMC) and the super-twisting observer (STO). This position control algorithm does not produce numerical chattering, which has been known to be a major drawback of explicit implementation of SOSMC and STO. It is more accurate than the conventional PID control that is also free of chattering. In contrast to conventional Backward-Euler discretization schemes of SOSMC and STO, the presented discretization method does not require any special solvers for computation. The accuracy and implementation of this algorithm are illustrated by simulations.

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