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

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.

scholarly journals BOUNDARY CONTROL AND STABILIZATION OF AN AXIALLY MOVING VISCOELASTIC STRING UNDER A BOUNDARY DISTURBANCE

2017 ◽  
Vol 22 (6) ◽  
pp. 763-784 ◽  
Author(s):  
Abdelkarim Kelleche
Keyword(s):  
Boundary Control ◽  
Multiplier Method ◽  
Control Law ◽  
System Modelling ◽  
Unknown Boundary ◽  
Transverse Vibrations ◽  
Axially Moving ◽  
Boundary Disturbance ◽  
The Right

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.

Tension and Speed Regulation of Axially Moving Materials

1999 ◽  
Author(s):  
Siddharth P. Nagarkatti ◽  
Fumin Zhang ◽  
Christopher D. Rahn ◽  
Darren M. Dawson
Keyword(s):  
Dynamic Simulation ◽  
Boundary Control ◽  
Control Strategy ◽  
Distributed Parameter ◽  
Control Law ◽  
Material System ◽  
Speed Regulation ◽  
Distributed Parameter Model ◽  
Simulation Results ◽  
Axially Moving

Abstract In this paper, the tension and speed of an axially moving material system are regulated using control torques applied to rollers at each end of a controlled span. Given a distributed parameter model, Lyapunov-type arguments produce a model-based boundary control law that exponentially stabilizes the material tension and speed at the desired setpoints. Dynamic simulation results compare the tension and speed setpoint regulation provided by the proposed control strategy with standard PID approaches.

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