scholarly journals Model order reduction of linear time invariant systems

2008 ◽  
Vol 6 ◽  
pp. 129-132 ◽  
Author(s):  
Lj. Radić-Weissenfeld ◽  
S. Ludwig ◽  
W. Mathis ◽  
W. John

Abstract. This paper addresses issues related to the order reduction of systems with multiple input/output ports. The order reduction is divided up into two steps. The first step is the standard order reduction method based on the multipoint approximation of system matrices by applying Krylov subspace. The second step is based on the rejection of the weak part of a system. To recognise the weak system part, Lyapunov equations are used. Thus, this paper introduces efficient solutions of the Lyapunov equations for port to port subsystems.

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.


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