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A Rational Approximation Method of Fractional Order Differentiators and Integrators Based On Joint Optimal Criterion

원문정보

Huimin Zhao, Chen Guo, Wu Deng, Dongyan Li, Xinhua Yang, Li Zou

보안공학연구지원센터(IJCA) International Journal of Control and Automation Vol.9 No.6 2016.06 pp.251-264
피인용수 : 0건 (자료제공 : 네이버학술정보)

초록

영어

In this paper, a new rational approximation method for fractional-order differentiator sα and integrator s-α ( 0 < α <1) is presented. The method is based on the joint optimal rational approximation definition in the given frequency range and the error. First, a definition of joint optimal rational approximation is proposed and the constructing steps of the fractional-order integrator are discussed. Then the approximation algorithm of fractional-order integrator based on the joint optimal rational approximation definition is given. The construction steps of fractional-order integrator are explained by an illustrative example. Finally, the performance comparison result among the proposed approximation model, the Oustaloup’s method and the best rational approximation method shows that the amplitude-frequency characteristic and phase-frequency characteristic of the joint optimal rational approximation method are better than the Oustaloup’s method and the best rational approximation method. And the proposed model has higher approximation precision.

목차

Abstract
 1. Introduction
 2. The Joint Optimal Rational Approximation Definition of Fractional-Order Differentiator and Integrator
 3. The Construction Steps of the Fractional-Order Integrator
 4. The Approximation Algorithm Based On the Joint Optimal Rational Approximation Definition
 5. An Illustrative Example
 6. Comparison of Approximation Methods
 7. Conclusions
 Acknowledgements
 References

키워드

저자정보

  • Huimin Zhao Information Science and Technology College of Dalian Maritime University, Dalian 116026, China, Software Institute,Dalian Jiaotong University , Dalian 116028, China, Sichuan Provincial Key Lab of Process Equipment andControl (Sichuan University of Science and Engineering) ,Zigong 64300, China, Artificial Intelligence Key Laboratory of Sichuan Province(Sichuan University of Science and Engineering) ,Zigong 64300, China
  • Chen Guo Information Science and Technology College of Dalian Maritime University, Dalian 116026, China
  • Wu Deng Software Institute,Dalian Jiaotong University , Dalian 116028, China, Sichuan Provincial Key Lab of Process Equipment andControl (Sichuan University of Science and Engineering) ,Zigong 64300, China
  • Dongyan Li Software Institute,Dalian Jiaotong University , Dalian 116028, China, Sichuan Provincial Key Lab of Process Equipment andControl (Sichuan University of Science and Engineering) ,Zigong 64300, China, Artificial Intelligence Key Laboratory of Sichuan Province(Sichuan University of Science and Engineering) ,Zigong 64300, China
  • Xinhua Yang Software Institute,Dalian Jiaotong University , Dalian 116028, China
  • Li Zou Software Institute,Dalian Jiaotong University , Dalian 116028, China, Sichuan Provincial Key Lab of Process Equipment andControl (Sichuan University of Science and Engineering) ,Zigong 64300, China

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자료제공 : 네이버학술정보

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