Coupling Dynamic Model and Control of Chatter in Cold Rolling

Author(s):  
Xu Yang ◽  
Chao-nan Tong

The dynamic model of 4-h mill, which couples with the rolling process model, the mill roll stand structure model, and the hydraulic servo system model, is built by analyzing the vibration process of cold rolling. By linearization, the multiple input multiple output linear transfer function matrix model of single stand 4-h cold mill system is obtained. With the consideration of strip quality, the model of strip thickness control system is established in a simplified form. Meanwhile, the robust controller based on quantitative feedback theory is designed for the gauge control model. A comparison with PID controller shows that the controller has better disturbance attenuation performance for parameter uncertainty and external disturbance.

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Xu Yang ◽  
Kai-xiang Peng ◽  
Chao-nan Tong

The nonlinear model of main drive system in cold rolling process, which considers the influence with parameter uncertainties such as clearance and variable friction coefficient, as well as external disturbance by roll eccentricity and variation of strip material quality, is built. By transformation, the lower triangular structure form of main drive system is obtained. The backstepping algorithm based on signal compensation is proposed to design a linear time-invariant (LTI) robust controller, including a nominal controller and a robust compensator. A comparison with PI controller shows that the controller has better disturbance attenuation performance and tracking behaviors. Meanwhile, according to its LTI characteristic, the robust controller can be realized easily; therefore it is also appropriated to high speed dynamic rolling process.


2017 ◽  
Vol 2017 ◽  
pp. 1-13 ◽  
Author(s):  
Jai-Eun Kim ◽  
Youn-Hee Kim ◽  
Jung-Hun Oh ◽  
Ki-Doo Kim

Because LEDs offer flexible expressions such as brightness, color control, and various patterns, they are popularly used in multidevice interactions. Moreover, LEDs have excellent physical characteristics. However, existing LED light-based wearable interactions are designed for interest and attention. So, LED can be used in fashion as it can give new look to our style and at the same time also as an interaction device. Therefore, in this paper, we present the design guideline for regulating the technical implementation, design strategies, and directions of interactive LED devices. The technology and design concepts are demonstrated through a case study (analysis) of an existing LED light-based wearable interaction. We also design a scenario-based iterative collaborative design process model. Finally, we develop a smart fashion of modular strapped cuffs and zipper slider types that can be attached and detached according to the user’s preference as the interactive smart fashion using user-oriented visible light communication, ultimately pursuing a visual-MIMO (Multiple-Input Multiple-Output) product through stepwise strategy.


2016 ◽  
Vol 2016 ◽  
pp. 1-26 ◽  
Author(s):  
Lingqiang Zeng ◽  
Yong Zang ◽  
Zhiying Gao

An effective dynamic model is the basis for studying rolling mill vibration. Through analyzing characteristics of different types of vibration, a coupling vibration structure model is established, in which vertical vibration, horizontal vibration, and torsional vibration can be well indicated. In addition, based on the Bland-Ford-Hill rolling force model, a dynamic rolling process model is formulated. On this basis, the rolling mill vertical-torsional-horizontal coupled dynamic model is constructed by coupling the rolling process model and the mill structure model. According to this mathematical model, the critical rolling speed is determined and the accuracy of calculated results is verified by experimental data. Then, the interactions between different subsystems are demonstrated by dynamic responses in both time and frequency domains. Finally, the influences of process parameters and structure parameters on system stability are analyzed. And a series of experiments are conducted to verify the correctness of these analysis conclusions. The results show that the vertical-torsional-horizontal coupled model can reasonably characterize the coupling relationship between the mill structure and the rolling process. These studies are helpful for formulating a reasonable technological procedure of the rolling process and determining a feasible dynamic modification strategy of the structure as well.


1991 ◽  
Vol 113 (3) ◽  
pp. 518-523 ◽  
Author(s):  
Oded Yaniv

An n × n nonlinear uncertain multiple-input multiple-output plant W, known only to belong to a set {W} is considered. At t=0 it is transformed into a one-degree-of-freedom feedback structure with compensation G. A synthesis method is developed to design G so that a given level of attenuation of plant output is attained for all Wε{W} and for any set of initial conditions y0ε{y0} on output of the plant W. The design philosophy is to convert the problem into a disturbance attenuation problem for uncertain linear time invariant systems with zero initial state, which in turn is converted into a series of successive single-input-output problems of the disturbance attenuation type. A design example is included.


2014 ◽  
Vol 619 ◽  
pp. 267-272
Author(s):  
Veeravat Faramee ◽  
Viboon Sangveraphunsiri

This work is the design of the robust attitude stabilization of a quadrotor. The dynamics model of the quadrotor is normally non-linear and it is difficult to obtain an accurate dynamic model. The linearized model is obtained based on data from experiments. The Multiple Input Multiple Output (MIMO) state variable feedback control is implemented to stabilize the system. The dynamic model based on approximated torques (roll, pitch, and yaw) as inputs and the dynamic model based on rotational speeds of the four rotors are used for design the controller. The experimental results from both dynamic model has very similar characteristic and perform much better than the conventional controller.


Author(s):  
XiaoQiong Wang ◽  
Atilla Incecik ◽  
Zhixiong Li ◽  
Bin Hu ◽  
Yong Ma

In this article, the model predictive control scheme is studied for a class of multiple-input multiple-output linear systems with different transient trajectories among the outputs. To eliminate the transient errors among the outputs, a modified model predictive control scheme is designed making one output track following the reference while the other outputs track following this output instead of the reference. Utilizing the specified output as the alternative reference for all the other outputs, a constructive model predictive control scheme is developed to diminish the differences of the transient-state trajectories among each output such that both the uniformity of the transient-state trajectories and the optimal steady-state trajectories are achieved. The effectiveness of the proposed transient uniformity model predictive control scheme is demonstrated in the experiment of the semiconductor wafer manufacturing baking process. The experimental results show that the transient uniformity model predictive control scheme has successfully reduced the integral square error of transient-state uniformity between any two outputs by 90% as compared to the conventional model predictive control scheme. The robustness of the proposed scheme has also been experimentally evaluated in the presence of external disturbance and plant modeling inaccuracy.


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