Exponential Stabilization of an Axially Moving Tensioned Strip by Passive Damping and Boundary Control

2002 ◽  
Vol 35 (2) ◽  
pp. 19-24
Author(s):  
Ji-Yun Choi ◽  
Keum-Shik Hong ◽  
Kyung-Tae Hong
Keyword(s):  
Boundary Control ◽  
Exponential Stabilization ◽  
Passive Damping ◽  
Axially Moving

Exponential Stabilization of an Axially Moving Tensioned Strip by Passive Damping and Boundary Control

2004 ◽  
Vol 10 (5) ◽  
pp. 661-682 ◽  
Author(s):  
Ji-Yun Choi ◽  
Keum-Shik Hong ◽  
Kyung-Jinn Yang
Keyword(s):  
Boundary Control ◽  
Steel Strip ◽  
Active Vibration Control ◽  
Passive Damping ◽  
Control Laws ◽  
Transverse Vibrations ◽  
Control Objective ◽  
Boundary Force ◽  
Axially Moving ◽  
The Right

In this paper, we investigate an active vibration control of a translating tensioned steel strip in the zinc galvanizing line. The dynamics of the moving strip is modeled as a Euler-Bernoulli beam with non-linear tension. The control objective is to suppress the transverse vibrations of the strip via boundary control. A right boundary control law based upon the Lyapunov second method is derived. It is revealed that a time-varying boundary force and a suitable passive damping at the right boundary can successfully suppress the transverse vibrations. The exponential stability of the closed-loop system is proved. The effectiveness of the control laws proposed is demonstrated via simulations.

Adaptive output feedback boundary control for a class of axially moving system

2019 ◽  
Vol 13 (2) ◽  
pp. 213-221 ◽  
Author(s):  
Fang Guo ◽  
Fei Luo ◽  
Yu Liu ◽  
Yilin Wu
Keyword(s):  
Boundary Control ◽  
Output Feedback ◽  
Axially Moving

Boundary Control of an Axially Moving String Via Lyapunov Method

1999 ◽  
Vol 121 (1) ◽  
pp. 105-110 ◽  
Author(s):  
Rong-Fong Fung ◽  
Chun-Chang Tseng
Keyword(s):  
Boundary Control ◽  
Lyapunov Method ◽  
Sliding Mode ◽  
Semigroup Theory ◽  
Active Vibration Control ◽  
Nonlinear Partial Differential Equation ◽  
Distributed Parameter ◽  
Axially Moving String ◽  
Active Vibration ◽  
Axially Moving

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.

Boundary Control of the Axially Moving Kirchhoff String

Automatica ◽  
1998 ◽  
Vol 34 (10) ◽  
pp. 1273-1277 ◽  
Author(s):  
S.M. SHAHRUZ
Keyword(s):  
Boundary Control ◽  
Axially Moving
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