Differential Geometry Soft Variable Structure Control of Magnetic Levitation Movement Stage

2017 ◽  
Vol 10 (2) ◽  
Author(s):  
Wang Wei-Ming ◽  
Chen Yong-Bo ◽  
Yan Yan ◽  
Ma Shu-Yuan
Keyword(s):  
Differential Geometry ◽  
Magnetic Levitation ◽  
Variable Structure Control ◽  
Variable Structure ◽  
Structure Control

Control System Design of Missiles with High Angle of Attack Based on Differential Geometry and Variable Structure Control Theory

2013 ◽  
Vol 336-338 ◽  
pp. 641-646
Author(s):  
Yuan Gao
Keyword(s):  
Differential Geometry ◽  
Control Theory ◽  
Control Method ◽  
Angle Of Attack ◽  
Variable Structure Control ◽  
Variable Structure ◽  
High Angle ◽  
High Angle Of Attack ◽  
Structure Control ◽  
Coupling Characteristics

This article has proposed a nonlinear decoupling control method based on differential geometry and variable structure control theory according to the nonlinear and strong coupling characteristics of missile with high angle of attack. The affine nonlinear model of missile with high angle of attack was firstly established, the accurate linearization and input/output decoupling of system were then performed by differential homeomorphism and feedback transformations. On the basis of this, the variable structure controller was designed to reduce the influence of parameter variation and disturbance. Simulation results indicate that nonlinear decoupling of missile with high angle of attack can be realized through this control method, which is superior due to its good static and dynamic characteristics.

scholarly journals Variable Structure Control Design for a Magnetic Levitation System

2018 ◽  
Vol 24 (12) ◽  
pp. 84-103
Author(s):  
Shibly Ahmed Al-Samarraie
Keyword(s):  
Steady State ◽  
Magnetic Levitation ◽  
Variable Structure Control ◽  
Variable Structure ◽  
Continuous Variable ◽  
Open Loop ◽  
Structure Control ◽  
Levitation System ◽  
Magnetic Levitation System ◽  
State Error

In this paper the variable structure control theory is utilized to derive a discontinuous controller to the magnetic levitation system. The magnetic levitation system model is considered uncertain, which subjected to the uncertainty in system parameters, also it is open-loop unstable and strongly nonlinear. The proposed variable structure control to magnetic levitation system is proved, and the area of attraction is determined. Additionally, the chattering, which induced due to the discontinuity in control law, is attenuated by using a non-smooth approximate. With this approximation the resulted controller is a continuous variable structure controller with a determined steady state error according to the selected control parameters. Finally the ability and the effectiveness of the proposed continuous variable structure controller to the magnetic levitation system are verified via numerical simulations. When state initiated inside the area of attraction, the results show that the ball position can be directed to follow various desired positions, with steady state error not exceeding .    

Variable Structure Control of Partially Linearizable Dynamics

1989 ◽  
Author(s):  
Harry G. Kwatny ◽  
Handol Kim
Keyword(s):  
Variable Structure Control ◽  
Variable Structure ◽  
Structure Control
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