scholarly journals Partial fraction expansion based frequency weighted model reduction for discrete-time systems

2016 ◽  
Vol 6 (3) ◽  
pp. 329-337 ◽  
Author(s):  
Deepak Kumar ◽  
Ahmad Jazlan ◽  
Victor Sreeram ◽  
Roberto Togneri
Keyword(s):  
Model Reduction ◽  
Discrete Time ◽  
Partial Fraction ◽  
Partial Fraction Expansion ◽  
Discrete Time Systems ◽  
Weighted Model ◽  
Time Systems

scholarly journals Frequency Weighted Model Order Reduction Technique and Error Bounds for Discrete Time Systems

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Muhammad Imran ◽  
Abdul Ghafoor ◽  
Victor Sreeram
Keyword(s):  
Frequency Response ◽  
Model Reduction ◽  
Discrete Time ◽  
Error Bounds ◽  
Reduced Order Models ◽  
Reduced Order ◽  
Reduction Techniques ◽  
Discrete Time Systems ◽  
Weighted Model ◽  
Time Systems

Model reduction is a process of approximating higher order original models by comparatively lower order models with reasonable accuracy in order to provide ease in design, modeling and simulation for large complex systems. Generally, model reduction techniques approximate the higher order systems for whole frequency range. However, certain applications (like controller reduction) require frequency weighted approximation, which introduce the concept of using frequency weights in model reduction techniques. Limitations of some existing frequency weighted model reduction techniques include lack of stability of reduced order models (for two sided weighting case) and frequency response error bounds. A new frequency weighted technique for balanced model reduction for discrete time systems is proposed. The proposed technique guarantees stable reduced order models even for the case when two sided weightings are present. Efficient technique for frequency weighted Gramians is also proposed. Results are compared with other existing frequency weighted model reduction techniques for discrete time systems. Moreover, the proposed technique yields frequency response error bounds.

scholarly journals New Results On Partial Fraction Based Frequency Weighted Balanced Truncation Technique For Discrete–Time System

2012 ◽  
Author(s):  
Shafishuhaza Sahlan ◽  
Victor Sreeram
Keyword(s):  
Discrete Time ◽  
A Priori ◽  
Partial Fraction ◽  
Discrete Time System ◽  
Time System ◽  
Model Order ◽  
Reduced Order ◽  
Partial Fraction Expansion ◽  
Weighted Model ◽  
Model Reduction Technique

Artikel in membentangkan keputusan baru bagi kaedah pengurangan model frekuensi tertimbang berdasarkan kaedah pengembangan fraksi separa didalam masa diskrit. Rangka pengurangan model bagi kaedah baru yang dicadangkan diperolehi melalui pemotongan langsung, menghasilkan kesalahan yang lebih rendah berbanding kaedah–kaedah lain yang sudah ada. Kaedah baru ini dijamin akan stabil bahkan untuk tertimbang bersisi ganda. Sebuah batas kesalahan a priori yang mudah dan senang dihitung juga diperoleh. Contoh berangka dengan perbandingan dengan teknik yang ada menunjukkan keberkesanan kaedah yang dicadangkan Kata kunci: Rangka pengurangan model; batas kesalahan; kaedah pengembangan fraksi spara In this paper, we present some new results on frequency weighted model reduction technique based on partial fraction expansion idea in discrete–time system. The reduced order models of the newly proposed method obtained by direct truncation, produces lower errors when compared to existing techniques. The new method is guaranteed to be stable even for double sided weightings. A simple and easily computable a priori error bound is also derived. Numerical examples with comparisons to the existing techniques show the effectiveness of the proposed method. Key words: Model order reductions; error bounds; partial fraction expansion

Sign in / Sign up

Export Citation Format

Share Document