Model Reduction of Large-Scale Discrete Plants With Specified Frequency Domain Balanced Structure

2004 ◽  
Vol 127 (3) ◽  
pp. 486-498 ◽  
Author(s):  
Abbas H. Zadegan ◽  
Ali Zilouchian

A new model reduction technique for linear time-invariant systems is proposed. A new method that reduces the order of large-scale systems by integrating singular perturbation with specified frequency domain balanced structure is proposed. Considering a frequency range at which the system actually operates guarantees a good approximation of the original full order model. Simulation experiments for model reduction of several large-scale systems demonstrate the effectiveness of the proposed technique.

Author(s):  
Hamid Reza Shaker ◽  
Rafael Wisniewski

This work presents a commentary of the article published by A. Zadegan and A. Zilouchian (2005, ASME J. Dyn. Syst. Meas., Control, 127, pp. 486–498). We show their order reduction method is not always true and may lead to inaccurate results and is therefore erroneous. A framework for solving the problem is also suggested.


2010 ◽  
Vol 61 (3) ◽  
pp. 141-148 ◽  
Author(s):  
Roozbeh Sadeghian ◽  
Paknosh Karimaghaee ◽  
Alireza Khayatian

Frequency Weighted Controller Order Reduction (Part I) In this paper, a new method for controller reduction of linear time invariant systems is presented. The method is based on newly defined controllability and observability grammians which are calculated from input to state and state to output characteristics of the controller in a certain frequency domain. These grammians are defined for the closed loop system to keep the performance of original controller. The main idea of this method is based on Moores model reduction. The relation of this method with weighted frequency model reduction of Enns will be described by a commutative diagram. The stability property of the new method is investigated. It is shown that the stability for two sided weights can be preserved under certain conditions. The simulation results show the effectiveness of this novel technique.


2013 ◽  
Vol 46 (27) ◽  
pp. 417-424 ◽  
Author(s):  
Xiaofei Liu ◽  
Yilin Mo ◽  
Sergio Pequito ◽  
Bruno Sinopoli ◽  
Soummya Kar ◽  
...  

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