Tension and Speed Regulation of Axially Moving Materials

Author(s):  
Siddharth P. Nagarkatti ◽  
Fumin Zhang ◽  
Christopher D. Rahn ◽  
Darren M. Dawson

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.

1999 ◽  
Vol 122 (3) ◽  
pp. 445-453 ◽  
Author(s):  
Siddharth P. Nagarkatti ◽  
Fumin Zhang ◽  
Christopher D. Rahn ◽  
Darren M. Dawson

During continuous manufacture of axially moving materials such as fiber, paper, foil, and film, accurate speed and tension control are essential. In this paper, control torques applied to rollers at the boundaries of an axially moving system regulate the material speed and tension using speed and tension sensors for each roller. Given a distributed parameter model, Lyapunov techniques are used to develop a model-based boundary control system that exponentially stabilizes the material tension and speed at desired setpoints and stabilizes longitudinal vibration. Experimental results compare the tension and speed setpoint regulation provided by the proposed control strategy with proportional plus integral speed control and proportional tension feedback. [S0022-0434(00)00203-3]


Author(s):  
M. S. de Queiroz ◽  
D. M. Dawson ◽  
C. D. Rahn ◽  
F. Zhang

Abstract In this paper, we consider the problem of regulating the displacement of an axial moving string using a control force and a control torque applied to the string via a mechanical guide. Given the hybrid model of the web system (i.e., distributed parameter field equation coupled to a discrete actuator equation), a Lyapunov-type analysis is utilized to design exact model knowledge and adaptive control laws that exponentially and asymptotically stabilize the string displacement, respectively. Dynamic simulation results demonstrate the vibration damping provided by the control strategy.


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.


2013 ◽  
Vol 419 ◽  
pp. 761-767
Author(s):  
Ji Nan Quan ◽  
Guang Yu Zhou ◽  
Chun Yan Chen

The nonlinear characteristic of photovoltaic cell following changes of irradiation and ambient temperature must be solved to research solar energy deeply and to utilize it high-efficiently. For building simple and practical dynamic simulation model and seeking after control strategy for raising out-power, a modified dynamic model of photovoltaic array is developed based on the physical model of photovoltaic cell, in which the voltage and current coefficients about ambient temperature and irradiation are introduced. By the model with stronger applicability and generality, the photovoltaic array I-V characteristic can be simulated arbitrarily with changes of irradiationambient temperaturephotovoltaic module parameter and its combination. The validity of the model is verified by all of the simulation results under Matlab/Simulink.


2012 ◽  
Vol 466-467 ◽  
pp. 546-550 ◽  
Author(s):  
Wen Gu ◽  
Jiu He Wang ◽  
Xiao Bin Mu ◽  
Sheng Sheng Xu

To the speed-regulation system of permanent magnet synchronous motor (PMSM), this paper presents a active disturbances rejection controller (ADRC) based on the adaptive theory. First, the inertia information will be obtained by identification. Then, ADRC is designed by combining an adaptive algorithm. The controller can realize the adaptive parameters adjustment according to the inertia information, which is called adaptive ADRC. Simulation results have confirmed this control strategy can effectively improve the stability and robustness of PMSM.


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.


1998 ◽  
Vol 10 (3) ◽  
pp. 203-208 ◽  
Author(s):  
Fumitoshi Matsuno ◽  
◽  
Motohiro Kisoi

This paper discusses task understanding and control strategy for the Beam-in-Hole task as a simple example of the assembly of flexible parts. The Beam-in-Hole task means insertion of a flexible beam into a hole. We assume that the wall around the hole is rigid. Initially, we assume that only the tip of the flexible beam contacts the side of the hole. In the Beam-in-Hole task, the beam is regarded as a constrained flexible beam with axial force. A distributed parameter model is derived to analyze the Beam-in-Hole task, and a condition for achieving insertion found. Simulation was done to ensure task understanding.


2014 ◽  
Vol 2014 ◽  
pp. 1-14 ◽  
Author(s):  
Mahmood Pervaiz ◽  
Qudrat Khan ◽  
Aamer Iqbal Bhatti ◽  
Shahzad Ahmed Malik

We present a control strategy for nonlinear nontriangular uncertain systems. The proposed control method is a synergy between the dynamic adaptive backstepping (DAB) and integral sliding mode (ISM) and is referred to as DAB-ISMC. Our main objective is to find a recursive procedure to transform a nontriangular system into an implementable form that enables designing a control law which almost eliminates the reaching-phase. The proposed method further facilitates minimization of chattering which is believed to be a shortcoming of the sliding mode control. In this methodology, the ISM, as an integrated subsystem of DAB, is introduced at the final stage of backstepping. This strategy works very well to obtain a system that is robust against model imperfections, matching and unmatching uncertainties. The DAB-ISMC method is applied on a continuous stirred tank reactor (CSTR) and simulation results obtained on Matlab are found to be very promising.


1997 ◽  
Vol 119 (2) ◽  
pp. 166-172 ◽  
Author(s):  
A. Baz

A variational mathematical model is developed using Hamilton’s principle to describe the dynamics of beams fully-treated with Active Constrained Layer Damping (ACLD) treatments. The resulting distributed-parameter model is utilized in devising a globally stable boundary control strategy which is compatible with the operating nature of the ACLD treatments. The effectiveness of the ACLD in damping out the vibration of cantilevered beams is determined for different control gains and compared with the performance of conventional Passive Constrained Layer Damping (PCLD). The results obtained demonstrate the high damping characteristics of the boundary controller particularly over broad frequency bands.


Sign in / Sign up

Export Citation Format

Share Document