Boundary control design for an axially moving ac-/decelerated system

Author(s):  
Fang Guo ◽  
Yu Liu ◽  
Wei He
2019 ◽  
Vol 13 (2) ◽  
pp. 213-221 ◽  
Author(s):  
Fang Guo ◽  
Fei Luo ◽  
Yu Liu ◽  
Yilin Wu

1999 ◽  
Vol 121 (1) ◽  
pp. 105-110 ◽  
Author(s):  
Rong-Fong Fung ◽  
Chun-Chang Tseng

This paper presents the active vibration control of an axially moving string system through a mass-damper-spring (MDS) controller at its right-hand side (RHS) boundary. A nonlinear partial differential equation (PDE) describes a distributed parameter system (DPS) and directly selected as the object to be controlled. A new boundary control law is designed by sliding mode associated with Lyapunov method. It is shown that the boundary feedback states only include the displacement, velocity, and slope of the string at RHS boundary. Asymptotical stability of the control system is proved by the semigroup theory. Finally, finite difference scheme is used to validate the theoretical results.


Automatica ◽  
1998 ◽  
Vol 34 (10) ◽  
pp. 1273-1277 ◽  
Author(s):  
S.M. SHAHRUZ

2017 ◽  
Vol 22 (6) ◽  
pp. 763-784 ◽  
Author(s):  
Abdelkarim Kelleche

In this paper, we consider a system modelling an axially moving viscoelastic string subject to an unknown boundary disturbance. It is controlled by a hydraulic touch-roll actuator at the right boundary which is capable of suppressing the transverse vibrations that occur during the movement of the string. The multiplier method is employed to design a robust boundary control law to ensure the reduction of the transvesre vibrations of the string.


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