Journal ArticleDOI
Reduced Order Modelling of Linear Time Invariant Systems Using the Factor Division Method to Allow Retention of Dominant Modes
TLDR
In this article, a new model order reduction method for large-scale dynamic systems using the factor division approach to allow the preservation of dominant poles was proposed, where the dominant poles are assumed to be fixed.Abstract:
This paper proposes a new model order reduction method for the large-scale dynamic systems using the factor division approach to allow the preservation of dominant poles. For a given higher order m...read more
Citations
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Journal ArticleDOI
Order Reduction in Linear Dynamical Systems by Using Improved Balanced Realization Technique
TL;DR: A new model order reduction scheme is proposed for the simplification of large-scale linear dynamical models based on the balanced realization method, in which the steady-state gain problem of the balanced truncation is circumvented.
Journal ArticleDOI
A New Model Reduction Method for the Linear Dynamic Systems and Its Application for the Design of Compensator
TL;DR: A new model reduction method for the simplification and design of a controller for the linear time-invariant systems is proposed and an improved generalized pole clustering algorithm is employed in the proposed technique for obtaining the denominator of the reduced model.
Journal ArticleDOI
A new model order reduction method for the design of compensator by using moment matching algorithm
TL;DR: The aim of this paper is the construction of a new model reduction technique for large scale stable linear dynamic systems, principally focused on the dominant modes and time moments retention, which implicates the translation of the overall important features confined in the large scale complete order model into the lower order system.
Journal ArticleDOI
A New Technique for the Reduced-Order Modelling of Linear Dynamic Systems and Design of Controller
TL;DR: In this paper, a new system diminution technique is proposed for the reduction in complexity and controller design of the higher-order models, which is based on the Mihailov stability method which ensures the stability of the obtained simplified/micro-model if the higher order plant is stable.
Proceedings ArticleDOI
Order Reduction of Linear Dynamic Systems with an Improved Routh Stability Method
TL;DR: In this paper, a model reduction method was proposed for the simplification of higher dimensional linear time invariant (LTI) dynamic models, which is a combination of two mathematical approaches.
References
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Journal ArticleDOI
Principal component analysis in linear systems: Controllability, observability, and model reduction
TL;DR: In this paper, it is shown that principal component analysis (PCA) is a powerful tool for coping with structural instability in dynamic systems, and it is proposed that the first step in model reduction is to apply the mechanics of minimal realization using these working subspaces.
Journal ArticleDOI
Model reduction via balanced state space representations
L. Pernebo,Leonard M. Silverman +1 more
TL;DR: In this article, a model reduction procedure based on balanced state space representations is studied, and the reduced order model is examined from the point of view of stability, controllability, and observability.
Journal ArticleDOI
Singular perturbations and order reduction in control theory - An overview
TL;DR: The content of main theorems is presented in a tutorial form aimed at a broad audience of engineers and applied mathematicians interested in control, estimation and optimization of dynamic systems.
Dissertation
Krylov Projection Methods for Model Reduction
TL;DR: The cornerstone of this dissertation is a collection of theory relating Krylov projection to rational interpolation, based on which three algorithms for model reduction are proposed, which are suited for parallel or approximate computations.
Journal ArticleDOI
On "A method for simplifying linear dynamic systems"
M. Chidambara,Edward J. Davison +1 more
TL;DR: A method is proposed for reducing large matrices by constructing a matrix of lower order which has the same dominant eigenvalues and eigenvectors as the original system.