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研究生: Phung Van Hiep
Phung - Van Hiep
論文名稱: Theoretical Control and Experimental Verification of a Calender Roller System
Theoretical Control and Experimental Verification of a Calender Roller System
指導教授: 郭中豐
Chung-Feng Jeffrey Kuo
口試委員: 張嘉德
Chia-Der Chang
黃昌群
Chang Chiun Huang
學位類別: 碩士
Master
系所名稱: 工程學院 - 自動化及控制研究所
Graduate Institute of Automation and Control
論文出版年: 2009
畢業學年度: 97
語文別: 英文
論文頁數: 66
中文關鍵詞: roller systemdistributed parameter systemmodel predictive controlstate estimate
外文關鍵詞: roller system, distributed parameter system, model predictive control, state estimate
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  • Control of amount of deflection which is produced by the pressing and pressed rollers in calender system is big challenge in industrial fiber. Normally, trial and error is used to determine each dimension of both rollers. Hence, objective of this thesis is dealing with the control of the pressed roller to get high quality of the calendering products. Both theoretical control and experimental verification are performed.
    Firstly, the pressed roller is assumed as an Euler-Bernoulli beam and the forces which are produced by pressing roller are considered as distributed forces. The mathematical model of the system is derived as a distributed parameter system using Hamilton’s principle, Lagrange’s equations and assumed-modes method. System model is a two-input one-output system. Since the distributed forces are constants, system can be simplified to single-input single-output system by changing variables. In order to investigate effect of non-collocation sensor and actuator, positions of sensor and actuator are also considered as arbitrarily.
    Then, an advanced control technique, Model Predictive Control (MPC), is used in this thesis. Because it has high robustness so it can deal with model uncertainties and other disturbances. A state estimator is designed in order to avoid using a lot of sensors. A new control structure is build up by combining the state estimator with traditional MPC controller. It is called Model predictive control with a state estimator (MPC-SE) controller. Computer simulations using MATLAB software are carried out.
    Proposed control structure is experimented on PC-based control system with RT-ADC4/PCI card and real-time control software, VisSim. Positions of sensor and actuator are chosen different. This not only investigates non-allocation problem but also solves physical problem. It is impossible to locate two devices in only one point. Experimental results confirm the feasibility of the proposed controller as well.


    Control of amount of deflection which is produced by the pressing and pressed rollers in calender system is big challenge in industrial fiber. Normally, trial and error is used to determine each dimension of both rollers. Hence, objective of this thesis is dealing with the control of the pressed roller to get high quality of the calendering products. Both theoretical control and experimental verification are performed.
    Firstly, the pressed roller is assumed as an Euler-Bernoulli beam and the forces which are produced by pressing roller are considered as distributed forces. The mathematical model of the system is derived as a distributed parameter system using Hamilton’s principle, Lagrange’s equations and assumed-modes method. System model is a two-input one-output system. Since the distributed forces are constants, system can be simplified to single-input single-output system by changing variables. In order to investigate effect of non-collocation sensor and actuator, positions of sensor and actuator are also considered as arbitrarily.
    Then, an advanced control technique, Model Predictive Control (MPC), is used in this thesis. Because it has high robustness so it can deal with model uncertainties and other disturbances. A state estimator is designed in order to avoid using a lot of sensors. A new control structure is build up by combining the state estimator with traditional MPC controller. It is called Model predictive control with a state estimator (MPC-SE) controller. Computer simulations using MATLAB software are carried out.
    Proposed control structure is experimented on PC-based control system with RT-ADC4/PCI card and real-time control software, VisSim. Positions of sensor and actuator are chosen different. This not only investigates non-allocation problem but also solves physical problem. It is impossible to locate two devices in only one point. Experimental results confirm the feasibility of the proposed controller as well.

    CONTENTS ABSTRACT 2 ACKNOWLEDGEMENTS 4 CONTENTS 5 LIST OF FIGURES 7 LIST OF TABLES 9 LIST OF SYMBOLS 10 LIST OF ABBREVATIONS 12 CHAPTER 1. INTRODUCTION 13 1.1 Introduction 13 1.2 Control problem 14 1.3 Literature review 15 1.4 Outline 16 CHAPTER 2. DYNAMIC MODELING OF THE SYSTEM 17 2.1 Equation of motion 17 2.2 Mode shapes and frequencies 22 2.3 Assumed-modes method 25 2.4 State-space representation 29 2.5 Transfer function representation 30 2.6 System simplification 31 CHAPTER 3. MODEL PREDICTIVE CONTROL 34 3.1 The principle of model predictive control 34 3.2 State-space model with embedded integrator 36 3.3 Model Predictive Control 37 3.3.1 Prediction of state and output variables 37 3.3.2 Optimization 38 3.3.3 Closed-loop control system 40 3.4 Predictive control with a state estimator 42 3.4.1 State estimation 42 3.4.2 Predictive control with state estimator 43 CHAPTER 4. DESIGN AND SIMULATION 46 4.1 Design of MPC-SE for the roller system 46 4.2 Multi-modes simulation 50 CHAPTER 5. EXPERIMENT 54 5.1 Experimental setup 54 5.1.1 VisSim software 54 5.1.2 RT-DAC4/PCI card 56 5.1.3 Inductive proximity sensor 57 5.1.4 Electro-Hydraulic actuator 58 5.2 Experimental results 58 CHAPTER 6. CONCLUSIONS 62 6.1 Conclusions 62 6.2 Farther research 63 REFERENCES 64

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