Design of Low Error Fractional Order IIR Digital Differentiators and Integrators

被引:0
作者
Kansal, Shivam [1 ]
Upadhyay, Dharmendra K. [1 ]
机构
[1] Netaji Subhas Inst Technol, Div Elect & Commun Engn, Sect 3, New Delhi, India
来源
PROCEEDINGS OF THE 2017 INTERNATIONAL CONFERENCE ON SMART TECHNOLOGIES FOR SMART NATION (SMARTTECHCON) | 2017年
关键词
digital differentiator; digital integrator; fractional order; genetic algorithm; linear phase; wideband; FUZZY PID CONTROLLER;
D O I
暂无
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
In this paper, linear phase widehand IIR fractional order digital differentiators (FODDs) and integrators (FODIs) are designed using Genetic Algorithm (GA) optimization tool and binomial expansion. The proposed fourth order differentiators and integrators are stable and highly approximate the ideal ones in terms of the magnitude response where percentage relative error is taken as the criteria for defining the accuracy of the system. The design also gives linear phase response which is better than the existing ones.
引用
收藏
页码:132 / 136
页数:5
相关论文
共 21 条
[1]  
[Anonymous], 1974, The fractional calculus theory and applications of differentiation and integration to arbitrary order, DOI DOI 10.1016/S0076-5392(09)60219-8
[2]   Continued fraction expansion approaches to discretizing fractional order derivatives - an expository review [J].
Chen, YQ ;
Vinagre, BM ;
Podlubny, I .
NONLINEAR DYNAMICS, 2004, 38 (1-4) :155-170
[3]   A new IIR-type digital fractional order differentiator [J].
Chen, YQ ;
Vinagre, BM .
SIGNAL PROCESSING, 2003, 83 (11) :2359-2365
[4]  
Chen YQ, 2002, IEEE T CIRCUITS-I, V49, P363, DOI 10.1109/81.989172
[5]   A novel fractional order fuzzy PID controller and its optimal time domain tuning based on integral performance indices [J].
Das, Saptarshi ;
Pan, Indranil ;
Das, Shantanu ;
Gupta, Amitava .
ENGINEERING APPLICATIONS OF ARTIFICIAL INTELLIGENCE, 2012, 25 (02) :430-442
[6]   On fractional calculus and fractional multipoles in electromagnetism [J].
Engheta, N .
IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 1996, 44 (04) :554-566
[7]  
Gupta M., 2014, SCI WORLD J, P1
[8]  
Jain M, 2012, RADIOENGINEERING, V21, P712
[9]  
Krishna BT, 2008, FRACT CALC APPL ANAL, V11, P143, DOI DOI 10.1142/S0219024908004750
[10]   Experimental study of fractional order proportional derivative controller synthesis for fractional order systems [J].
Luo, Ying ;
Chen, YangQuan ;
Pi, Youguo .
MECHATRONICS, 2011, 21 (01) :204-214