System reduction using eigen spectrum analysis and Padé approximation technique

Abstract

A mixed method is proposed for deriving reduced-order models of high-order linear time invariant systems using the combined advantages of eigen spectrum analysis and the Padé approximation technique. The denominator of the reduced-order model is found by eigen spectrum analysis, and the dynamics of the numerator are chosen using the Padé approximation technique. This method guarantees stability of the reduced model if the original high-order system is stable. The method is illustrated by three numerical examples.

Modeling of higher order systems using artificial bee colony algorithm

“…This work is also repeated by using DEA and GA, and then, the results are comparatively presented. Four different highorder systems, which are previously given in the literature, are used in this study (Equations 5-8) [14,[31][32][33][34][35][36][37][38][39]. Time delay does not exist in the systems defined as G1 [31], G2 [14,[32][33][34][35][36], G3 [37,38], and G4 [39].…”

An adaptive method of model reduction in frequency domain

“…Example 1 First, we consider a 10th-order system previously studied in [16], [31], [21], where 10 ( ) is given by …”

“…There are plenty of model reduction methods for linear continuous systems. For instance, in [9], [10], [29] they use the Routh approximations; in [7] it makes use of linear matrix inequalities; in [6] ∞ model reduction is used; in [14], [17] error minimization technique is used; in [27] magnitude and phase criteria are used, and [21], [5] are about the Padé type model reductions, and so on.…”

Model-order reduction of coupled DAE systems via technique and Krylov subspace method

“…Both in the area of control theory and in numerical analysis, a wealth of MOR techniques have been developed over the decades. Pad e approximation technique, Balanced truncation, Krylov subspace method, and proper orthogonal decomposition have been extensively used to reduce linear ODE systems and coupled systems, see [5][6][7][8]. In recent years, the MOR techniques for DAE systems have been received increased attention, see [9,10].…”