A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of...

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A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems (CSOIS), Dep. Electrical and Computer Engineering, Utah State University, Logan, UT, USA. Ying Luo

Transcript of A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of...

Page 1: A Fractional Order (Proportional and Derivative) Motion Controller Design for A Class of Second-order Systems Center for Self-Organizing Intelligent Systems.

A Fractional Order (Proportional and Derivative)

Motion Controller Design for A Class of Second-order Systems

Center for Self-Organizing Intelligent Systems (CSOIS), Dep. Electrical and Computer Engineering,

Utah State University, Logan, UT, USA.

Ying Luo

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I. IntroductionII. Typical second-order system

concerned and the specifications for the three controllers design

III. Integer Order PID Controller DesignIV. Fractional Order PD Controller DesignV. Fractional Order (PD) Controller DesignVI. Implementation of Two Fractional

Order Operators for Two Fractional Order Controllers

VII. SimulationVIII. ExperimentIX. Conclusion

Outline

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I. IntroductionII. Typical second-order system

concerned and the specifications for the three controllers design

III. Integer Order PID Controller DesignIV. Fractional Order PD Controller DesignV. Fractional Order (PD) Controller DesignVI. Implementation of Two Fractional

Order Operators for Two Fractional Order Controllers

VII. SimulationVIII. ExperimentIX. Conclusion

Outline

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Introduction

In this work, practical and systemic design methods ofinteger order PID (IO-PID) controller, fractional order

proportional and derivative (FO-PD) controller and fractionalorder (proportional and derivative) controller for a typicalsecond-order plant are proposed. The control performances with

the proposed two fractional order controllersand the traditional IO-PID controller which are all properlydesigned are compared fairly through the simulation andexperiment. The two fractional order controllers can achieve much better

dynamic performance and robustness over the traditional IO-PID controller. Furthermore, the proposed fractional order (proportional and derivative) (FO-(PD)) controller performances even better then the FO-PD controller.

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Introduction

The major contributions of this work include:

1) Practical and systemic design procedures of IO-PID, FOPD and FO-(PD) controllers for a class of typical second order plants;

2) Simulation fair comparison of performances with the proposed two fractional order controllers and the traditional IO-PID controller;

3) Experiment verification of the proposed FO-(PD) controller on the real-time dynamometer position control system;

4) Demonstration of the advantage of the FO-(PD) controller performing the simulation and experimental comparisons with the traditional IO-PID controller and the FO-PD controller.

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I. Introduction

II. Typical second-order system concerned and the specifications for the three controllers design

III. Integer Order PID Controller Design

IV. Fractional Order PD Controller Design

V. Fractional Order (PD) Controller Design

VI. Implementation of Two Fractional Operators for Two Fractional Order Controllers

VII. Simulation

VIII. Experiment

Outline

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Typical second-order system concerned and the specifications for the three controllers design

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Typical second-order system concerned and the specifications for the three controllers design

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Typical second-order system concerned and the specifications for the three controllers design

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Typical second-order system concerned and the specifications for the three controllers design

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Typical second-order system concerned and the specifications for the three controllers design

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Typical second-order system concerned and the specifications for the three controllers design

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Typical second-order system concerned and the specifications for the three controllers design

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Typical second-order system concerned and the specifications for the three controllers design

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I. IntroductionII. Typical second-order system

concerned and the specifications for the three controllers design

III. Integer Order PID Controller DesignIV. Fractional Order PD Controller DesignV. Fractional Order (PD) Controller DesignVI. Implementation of Two Fractional

Operators for Two Fractional Order Controllers

VII. SimulationVIII. ExperimentIX. Conclusion

Outline

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Integer Order PID Controller Design

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Integer Order PID Controller Design

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Integer Order PID Controller Design

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Integer Order PID Controller Design

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Integer Order PID Controller Design

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Integer Order PID Controller Design

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Integer Order PID Controller Design

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Integer Order PID Controller Design

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Integer Order PID Controller Design

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Integer Order PID Controller Design

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Integer Order PID Controller Design

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Integer Order PID Controller Design

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Integer Order PID Controller Design

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Integer Order PID Controller Design

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Integer Order PID Controller Design

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I. IntroductionII. Typical second-order system

concerned and the specifications for the three controllers design

III. Integer Order PID Controller DesignIV. Fractional Order PD Controller DesignV. Fractional Order (PD) Controller DesignVI. Implementation of Two Fractional

Operators for Two Fractional Order Controllers

VII. SimulationVIII. ExperimentIX. Conclusion

Outline

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Fractional Order PD Controller Design

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Fractional Order PD Controller Design

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Fractional Order PD Controller Design

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Fractional Order PD Controller Design

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Fractional Order PD Controller Design

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Fractional Order PD Controller Design

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Fractional Order PD Controller Design

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Fractional Order PD Controller Design

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I. IntroductionII. Typical second-order system

concerned and the specifications for the three controllers design

III. Integer Order PID Controller DesignIV. Fractional Order PD Controller DesignV. Fractional Order (PD) Controller DesignVI. Implementation of Two Fractional

Operators for Two Fractional Order Controllers

VII. SimulationVIII. ExperimentIX. Conclusion

Outline

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Fractional Order (PD) Controller Design

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Fractional Order (PD) Controller Design

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Fractional Order (PD) Controller Design

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Fractional Order (PD) Controller Design

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Fractional Order (PD) Controller Design

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Fractional Order (PD) Controller Design

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Fractional Order (PD) Controller Design

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Fractional Order (PD) Controller Design

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Fractional Order (PD) Controller Design

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Fractional Order (PD) Controller Design

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Fractional Order (PD) Controller Design

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I. IntroductionII. Typical second-order system

concerned and the specifications for the three controllers design

III. Integer Order PID Controller DesignIV. Fractional Order PD Controller DesignV. Fractional Order (PD) Controller DesignVI. Implementation of Two Fractional

Operators for Two Fractional Order Controllers

VII. SimulationVIII. ExperimentIX. Conclusion

Outline

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Implementation of Two Fractional Operators

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Implementation of Two Fractional Operators

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Implementation of Two Fractional Operators

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Implementation of Two Fractional Operators

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Implementation of Two Fractional Operators

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Implementation of Two Fractional Operators

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Implementation of Two Fractional Operators

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Implementation of Two Fractional Operators

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Implementation of Two Fractional Operators

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I. IntroductionII. Typical second-order system

concerned and the specifications for the three controllers design

III. Integer Order PID Controller DesignIV. Fractional Order PD Controller DesignV. Fractional Order (PD) Controller DesignVI. Implementation of Two Fractional

Operators for Two Fractional Order Controllers

VII. SimulationVIII. ExperimentIX. Conclusion

Outline

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Simulation

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Simulation

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Simulation

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Simulation

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Simulation

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Simulation

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Simulation

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Simulation

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Simulation

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Simulation

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Simulation

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Simulation

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Simulation

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Simulation

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Simulation

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Simulation

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Simulation

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Simulation

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Simulation

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Simulation

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Simulation

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Simulation

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I. IntroductionII. Typical second-order system

concerned and the specifications for the three controllers design

III. Integer Order PID Controller DesignIV. Fractional Order PD Controller DesignV. Fractional Order (PD) Controller DesignVI. Implementation of Two Fractional

Operators for Two Fractional Order Controllers

VII. SimulationVIII. ExperimentIX. Conclusion

Outline

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Experiment

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Experiment

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Experiment

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Experiment

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Experiment

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Experiment

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I. IntroductionII. Typical second-order system

concerned and the specifications for the three controllers design

III. Integer Order PID Controller DesignIV. Fractional Order PD Controller DesignV. Fractional Order (PD) Controller DesignVI. Implementation of Two Fractional

Operators for Two Fractional Order Controllers

VII. SimulationVIII. ExperimentIX. Conclusion

Outline

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Conclusion

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