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- 저자 : Yiheng Wei (검색결과 3 건)
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A Rational Approximate Method to Fractional Order Systems
Yiheng Wei,Qing Gao,Cheng Peng,Yong Wang 제어·로봇·시스템학회 2014 International Journal of Control, Automation, and Vol.12 No.6
This paper presents an approximate method for general fractional order dynamic systems. Firstly, a novel piecewise approximate method is proposed for fractional order integrator based on its frequency distributed mode. Based on the above method, an integer order approximation system is constructed to approximate a fractional order system. Theoretical analysis results show that the proposed method can achieve much better performance than the existing schemes for a given order in an interested frequency range. The advantage of the proposed method lies in that the resulting system are standard integer order system, which facilitates systematic stability analysis and controller synthesis in view of the well-developed linear or nonlinear system theory. Numerical simulations are presented to illustrate the effectiveness of the proposed approach in the end.
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A Generalized Padé Approximation of Time Delay Operator
Yong Wang,Yiheng Wei,Yangsheng Hu,Yi Dai 제어·로봇·시스템학회 2016 International Journal of Control, Automation, and Vol.14 No.1
This paper addresses the problem of fractional order Padé approximation for the time delay operator. Based on optimization method, a fitting polynomial with basic order a is constructed to approximate the time delayoperator. This makes for two generalized Padé approximations in the form of normal and symmetric approximation,respectively. The advantage of the proposed method lies in the fact that the resulting approximate model is inthe standard transform function form of any commensurate order a, making all of the existing stability analysismethods and control design tools for such systems amenable to the fractional order time delay systems. Somenumerical examples are given to demonstrate the effectiveness of the proposed method.
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Rational Approximation of Fractional Order Systems by Vector Fitting Method
Bin Du,Yong Wang,Yiheng Wei,Shu Liang 제어·로봇·시스템학회 2017 International Journal of Control, Automation, and Vol.15 No.1
A novel method for approximating fractional order systems is presented. Vector fitting is involved in thismethod. As the basis of approximation of fractional order systems, approximation of fractional order operators ismostly achieved by curve fitting in frequency domain, such as the well-known Oustaloup’s method. However, thesemethods have several serious defects in principle. A new perspective based on system identification is adoptedto deal with approximation of fractional order operators in this paper. Moreover, nonzero initial condition forapproximating fractional order systems is considered. And the proposed assignment of initial values for the Caputocase offers an effective solution for the simulation with nonzero initial condition. Finally, numerical examples aregiven to verify the efficiency of the proposed method.
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