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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.