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

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

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

Symmetry ◽  
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.

scholarly journals Model order reduction of commensurate linear discrete-time fractional-order systems

2018 ◽  
Vol 51 (1) ◽  
pp. 536-541 ◽  
Author(s):  
Marek Rydel ◽  
Rafał Stanisławski ◽  
Krzysztof J. Latawiec ◽  
Marcin Gałek
Keyword(s):  
Fractional Order ◽  
Discrete Time ◽  
Model Order Reduction ◽  
Order Reduction ◽  
Fractional Order Systems ◽  
Model Order

THE NEW ALGORITHM OF SOLVING HARMONIC BALANCE EQUATIONS

2019 ◽  
Author(s):  
Vladimir Lantsov ◽  
A. Papulina
Keyword(s):  
Harmonic Balance ◽  
Model Order Reduction ◽  
Order Reduction ◽  
Balance Equations ◽  
Model Order ◽  
Cad Systems ◽  
Computational Costs ◽  
Reduction Methods ◽  
Model Equations

The new algorithm of solving harmonic balance equations which used in electronic CAD systems is presented. The new algorithm is based on implementation to harmonic balance equations the ideas of model order reduction methods. This algorithm allows significantly reduce the size of memory for storing of model equations and reduce of computational costs.

scholarly journals Comparison of model order reduction methods for optimal sensor placement for thermo-elastic models

2018 ◽  
Vol 51 (3) ◽  
pp. 465-483 ◽  
Author(s):  
Peter Benner ◽  
Roland Herzog ◽  
Norman Lang ◽  
Ilka Riedel ◽  
Jens Saak
Keyword(s):  
Model Order Reduction ◽  
Sensor Placement ◽  
Order Reduction ◽  
Optimal Sensor Placement ◽  
Model Order ◽  
Reduction Methods
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