scholarly journals Reduced-Order and Full-Order Interval Observers Design for Discrete-Time System

IEEE Access ◽  
2020 ◽  
Vol 8 ◽  
pp. 103309-103316
Author(s):  
Weijie Ren ◽  
Renyang You ◽  
Wei Yu ◽  
Shenghui Guo
Keyword(s):  
Discrete Time ◽  
Order Interval ◽  
Discrete Time System ◽  
Time System ◽  
Reduced Order ◽  
Interval Observers

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

A New Method for Discrete-Time System Reduction

1988 ◽  
Author(s):  
Ioannis S. Apostolakis ◽  
John Diamessis ◽  
David Jordan
Keyword(s):  
Discrete Time ◽  
New Method ◽  
Discrete Time System ◽  
Time System ◽  
System Reduction

On a Discrete-Time System Expressed in the Euler Operator

1988 ◽  
Author(s):  
Noriyuki Hori ◽  
Peter N. Nikiforuk ◽  
Kimio Kanai
Keyword(s):  
Discrete Time ◽  
Discrete Time System ◽  
Time System ◽  
Euler Operator

Stability of real-time hybrid simulation involving time-varying delay and direct integration algorithms

2021 ◽  
pp. 107754632110016
Author(s):  
Liang Huang ◽  
Cheng Chen ◽  
Shenjiang Huang ◽  
Jingfeng Wang
Keyword(s):  
Real Time ◽  
Discrete Time ◽  
Continuous Time ◽  
Hybrid Simulation ◽  
Time Varying ◽  
Discrete Time System ◽  
Time System ◽  
Integration Algorithms ◽  
The Stability ◽  
Continuous Time System

Stability presents a critical issue for real-time hybrid simulation. Actuator delay might destabilize the real-time test without proper compensation. Previous research often assumed real-time hybrid simulation as a continuous-time system; however, it is more appropriately treated as a discrete-time system because of application of digital devices and integration algorithms. By using the Lyapunov–Krasovskii theory, this study explores the convoluted effect of integration algorithms and actuator delay on the stability of real-time hybrid simulation. Both theoretical and numerical analysis results demonstrate that (1) the direct integration algorithm is preferably used for real-time hybrid simulation because of its computational efficiency; (2) the stability analysis of real-time hybrid simulation highly depends on actuator delay models, and the actuator model that accounts for time-varying characteristic will lead to more conservative stability; and (3) the integration step is constrained by the algorithm and structural frequencies. Moreover, when the step is small, the stability of the discrete-time system will approach that of the corresponding continuous-time system. The study establishes a bridge between continuous- and discrete-time systems for stability analysis of real-time hybrid simulation.

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