Design of Low Frequency Suitable Fractional Order Differintegrators

Design of low frequency applicable fractional order digital differentiators and integrators using direct discretization is the main objective of this paper. Model order reduction procedure is used to obtain the novel first order s-to-z transform. Continued fraction expansion (CFE) technique is used to discretize that transform. The design of one-half digital differintegrators based on proposed transforms will be compared with the well known existing first order transforms namely, Bilinear and Al-Alaoui transforms. The efficacy of the designed methods presented interms of normalized magnitude error (NME). The designed fractional order digital filter coefficients are tabulated and all simulation results are carried out by using MATLAB software.

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Model-Order Reduction Procedure for Fast Dynamic Electrothermal Simulation of Power Converters

Lecture Notes in Electrical Engineering - Applications in Electronics Pervading Industry, Environment and Society ◽

10.1007/978-3-319-93082-4_11 ◽

2018 ◽

pp. 81-87 ◽

Cited By ~ 6

Author(s):

A. P. Catalano ◽

M. Riccio ◽

L. Codecasa ◽

A. Magnani ◽

G. Romano ◽

...

Keyword(s):

Model Order Reduction ◽

Power Converters ◽

Order Reduction ◽

Reduction Procedure ◽

Model Order ◽

Electrothermal Simulation ◽

Fast Dynamic

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New Implementation of Discrete-Time Fractional-Order PI Controller by Use of Model Order Reduction Methods

Advances in Intelligent Systems and Computing - Advanced, Contemporary Control ◽

10.1007/978-3-030-50936-1_100 ◽

2020 ◽

pp. 1199-1209

Author(s):

Rafał Stanisławski ◽

Marek Rydel ◽

Krzysztof J. Latawiec

Keyword(s):

Fractional Order ◽

Discrete Time ◽

Model Order Reduction ◽

Order Reduction ◽

Pi Controller ◽

Model Order ◽

Reduction Methods ◽

Fractional Order Pi Controller

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Low-Frequency Model-Order Reduction of Electromagnetic Fields Without Matrix Factorization

IEEE Transactions on Microwave Theory and Techniques ◽

10.1109/tmtt.2004.834577 ◽

2004 ◽

Vol 52 (9) ◽

pp. 2298-2304 ◽

Cited By ~ 5

Author(s):

R.F. Remis

Keyword(s):

Electromagnetic Fields ◽

Matrix Factorization ◽

Model Order Reduction ◽

Low Frequency ◽

Order Reduction ◽

Frequency Model ◽

Model Order

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AN EFFICIENT MODEL-ORDER REDUCTION APPROACH TO LOW-FREQUENCY TRANSMISSION LINE MODELING

Progress In Electromagnetics Research ◽

10.2528/pier09123006 ◽

2010 ◽

Vol 101 ◽

pp. 139-155 ◽

Cited By ~ 3

Author(s):

Rob F. Remis

Keyword(s):

Transmission Line ◽

Model Order Reduction ◽

Low Frequency ◽

Order Reduction ◽

Model Order ◽

Transmission Line Modeling ◽

Reduction Approach

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Modeling of Fractional-Order Integrators and Differentiators Using Tustin-Based Approximations and Model Order Reduction Techniques

Lecture Notes in Electrical Engineering - Theory and Applications of Non-integer Order Systems ◽

10.1007/978-3-319-45474-0_25 ◽

2016 ◽

pp. 277-286

Author(s):

Marek Rydel ◽

Rafał Stanisławski ◽

Marcin Gałek ◽

Krzysztof J. Latawiec

Keyword(s):

Fractional Order ◽

Model Order Reduction ◽

Order Reduction ◽

Model Order ◽

Reduction Techniques

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Model Order Reduction of Commensurate Fractional-Order Systems Using Big Bang – Big Crunch Algorithm

IETE Technical Review ◽

10.1080/02564602.2019.1653232 ◽

2019 ◽

Vol 37 (5) ◽

pp. 453-464

Author(s):

Shivam Jain ◽

Yogesh V. Hote ◽

Sahaj Saxena

Keyword(s):

Fractional Order ◽

Model Order Reduction ◽

Order Reduction ◽

Big Bang ◽

Fractional Order Systems ◽

Model Order ◽

Big Crunch

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Model Order Reduction of Linear Time-Invariant Commensurate Fractional Systems Based on Extended Continued Fraction Method

2020 28th Iranian Conference on Electrical Engineering (ICEE) ◽

10.1109/icee50131.2020.9260728 ◽

2020 ◽

Author(s):

Parniyan Norouzzadeh

Keyword(s):

Model Order Reduction ◽

Continued Fraction ◽

Linear Time ◽

Order Reduction ◽

Model Order ◽

Fractional Systems ◽

Linear Time Invariant ◽

Time Invariant ◽

Fraction Method

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Balanced Truncation Model Order Reduction in Limited Frequency and Time Intervals for Discrete-Time Commensurate Fractional-Order Systems

Symmetry ◽

10.3390/sym11020258 ◽

2019 ◽

Vol 11 (2) ◽

pp. 258

Author(s):

Marek Rydel ◽

Rafał Stanisławski ◽

Krzysztof Latawiec

Keyword(s):

Fractional Order ◽

Discrete Time ◽

Model Order Reduction ◽

Linear Time ◽

Order Reduction ◽

Balanced Truncation ◽

Fractional Order Systems ◽

Model Order ◽

Reduction Techniques ◽

Mathematical Formulas

In this paper we investigate an implementation of new model order reduction techniques to linear time-invariant discrete-time commensurate fractional-order state space systems to obtain lower dimensional fractional-order models. Since the models of physical systems correctly approximate the physical phenomena of the modeled systems for restricted time and frequency ranges only, a special attention is given to time- and frequency-limited balanced truncation and frequency-weighted methods. Mathematical formulas for calculation of the time- and frequency-limited, as well as frequency-weighted controllability and observability Gramians, are extended to fractional-order systems. An instructive simulation experiment corroborates the potential of the introduced methodology.

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