Analysis of the sub-optimal second-order sliding-mode control algorithm in the frequency domain

2004 ◽  
Author(s):  
I. Boiko ◽  
L. Fridman ◽  
R. Iriarte ◽  
A. Pisano ◽  
E. Usai
Keyword(s):  
Sliding Mode Control ◽  
Frequency Domain ◽  
Control Algorithm ◽  
Sliding Mode ◽  
Second Order ◽  
Mode Control ◽  
Second Order Sliding Mode

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.

scholarly journals Design and Analysis of Second-Order Sliding Mode Controller for Active Magnetic Bearing

Energies ◽  
2020 ◽  
Vol 13 (22) ◽  
pp. 5965
Author(s):  
Xiaoyuan Wang ◽  
Yaopeng Zhang ◽  
Peng Gao
Keyword(s):  
Sliding Mode Control ◽  
Control Algorithm ◽  
Sliding Mode ◽  
Magnetic Bearing ◽  
Second Order ◽  
Active Magnetic Bearing ◽  
Sliding Mode Controller ◽  
Mode Control ◽  
Exponential Reaching Law ◽  
Second Order Sliding Mode

An active magnetic bearing (AMB) is a kind of high-performance bearing that uses controllable electromagnetic force to levitate the rotor. Its control performance directly affects the operation characteristics of high-speed motors and other electromechanical products. The magnetic bearing control model is nonlinear and difficult to control. Sliding mode control algorithm can be used in the magnetic bearing control system, but the traditional sliding mode control has the problem of high-frequency chattering, which affects the operation stability of magnetic bearings. Based on the second-order sliding mode control algorithm, a new second-order sliding mode controller for active magnetic bearing control was designed, and the stability of the designed sliding mode control law was proven by Lyapunov criterion. On the basis of the established active magnetic bearing control model, the numerical analysis of the designed controller was carried out, and the control effect was compared with that obtained by the exponential reaching law for the sliding mode control algorithm. The experimental results show that the designed sliding mode controller has better dynamic performance and stability than the exponential reaching law for the sliding mode controller.

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