Model reduction of continuous-time systems: boundedness of solutions and reduced-order models

2002 ◽  
Author(s):  
S.E. Lyshevski
Keyword(s):  
Model Reduction ◽  
Continuous Time ◽  
Reduced Order Models ◽  
Boundedness Of Solutions ◽  
Reduced Order ◽  
Continuous Time Systems ◽  
Time Systems

Closed form ℒ 2/ℋ2-optimising of zeros for model reduction of linear continuous time systems

2009 ◽  
Vol 82 (3) ◽  
pp. 555-570 ◽  
Author(s):  
G. Herjólfsson ◽  
B. Ævarsson ◽  
A.S. Hauksdóttir ◽  
S.þ. Sigurðsson
Keyword(s):  
Closed Form ◽  
Model Reduction ◽  
Continuous Time ◽  
Continuous Time Systems ◽  
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.

Mixed Method of Routh and ISE Criterion Approaches for Reduced-Order Modeling of Continuous-Time Systems

1984 ◽  
Vol 106 (4) ◽  
pp. 353-356 ◽  
Author(s):  
Chyi Hwang
Keyword(s):  
Mixed Method ◽  
Continuous Time ◽  
Reduced Order Model ◽  
System Response ◽  
Order Model ◽  
Reduced Order ◽  
Minimum Mean Squared Error ◽  
Squared Error ◽  
Continuous Time Systems ◽  
Time Systems

A mixed method using the advantages of Routh approximation method and integral-squared-error criterion is proposed for obtaining stable reduced-order models for high-order continuous-time systems. The reduced-order model tends to approximate the transient portion of the system response in the sense of minimum mean-squared-error, while the steady-state portion is matched exactly. Instead of actually evaluating time responses of the system and the reduced-order model, a matrix formula is used to calculate the integral-squared-error from the error transfer function.

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