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Arbitrary-Order Fractance Approximation Circuits With High Order-Stability Characteristic and Wider Approximation Frequency Bandwidth 被引量:2
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作者 Qiu-Yan He Yi-Fei Pu +1 位作者 Bo Yu Xiao Yuan 《IEEE/CAA Journal of Automatica Sinica》 SCIE EI CSCD 2020年第5期1425-1436,共12页
This paper discusses a novel rational approximation algorithm of arbitrary-order fractances,which has high orderstability characteristic and wider approximation frequency bandwidth.The fractor has been exploited exten... This paper discusses a novel rational approximation algorithm of arbitrary-order fractances,which has high orderstability characteristic and wider approximation frequency bandwidth.The fractor has been exploited extensively in various scientific domains.The well-known shortcoming of the existing fractance approximation circuits,such as the oscillation phenomena,is still in great need of special research attention.Motivated by this need,a novel algorithm with high orderstability characteristic and wider approximation frequency bandwidth is introduced.In order to better understand the iterating process,the approximation principle of this algorithm is investigated at first.Next,features of the iterating function and frequency-domain characteristics of the impedance function calculated by this algorithm are researched,respectively.Furthermore,approximation performance comparisons have been made between the corresponding circuit and other types of fractance approximation circuits.Finally,a fractance approximation circuit with the impedance function of negative2/3-order is designed.The high order-stability characteristic and wider approximation frequency bandwidth are fundamental important advantages,which make our proposed algorithm competitive in practical applications. 展开更多
关键词 FRACTAL fractance fractional calculus fractional-order systems
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