Model order reduction by using the balanced truncation and factor division methods

AK Prajapati, R Prasad - IETE Journal of Research, 2019 - Taylor & Francis
The aim of this paper is to construct a new model order reduction method for linear dynamic
systems. In this technique, the denominator polynomial of the reduced order model (ROM) is …

Model reduction using the balanced truncation method and the Padé approximation method

AK Prajapati, R Prasad - IETE Technical Review, 2022 - Taylor & Francis
The objective of this article is the construction of a new model reduction method for the
simplification of large-scale linear dynamical plants. In this method, the denominator of the …

Order reduction of linear dynamic systems by improved Routh approximation method

AK Prajapati, R Prasad - IETE Journal of Research, 2019 - Taylor & Francis
In this paper, a new simplified Routh approximation technique is proposed for the model
order reduction (MOR) of large scale linear time-invariant systems. In reduced order …

Reduced order modelling of linear time invariant systems using the factor division method to allow retention of dominant modes

AK Prajapati, R Prasad - IETE Technical Review, 2019 - Taylor & Francis
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 …

Factorization‐based frequency‐weighted optimal Hankel‐norm model reduction

D Kumar, V Sreeram - Asian Journal of Control, 2020 - Wiley Online Library
In this paper, we present frequency‐weighted optimal Hankel‐norm model reduction
algorithms for linear time‐invariant continuous‐time systems by representing an original …

Model order reduction by integral squared error minimization using bat algorithm

DK Sambariya, H Manohar - 2015 2nd International Conference …, 2015 - ieeexplore.ieee.org
In this paper, a large order system is reduced by using the bat algorithm to a reduced-order
approximant. The numerator and denominator coefficients of a desired reduced-order …

Frequency weighted model order reduction technique and error bounds for discrete time systems

M Imran, A Ghafoor, V Sreeram - Mathematical Problems in …, 2014 - Wiley Online Library
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 …

Balanced truncation of linear time-invariant systems over finite-frequency ranges

P Benner, X Du, G Yang, D Ye - Advances in Computational Mathematics, 2020 - Springer
This paper discusses model order reduction of linear time-invariant (LTI) systems over
limited frequency intervals within the framework of balanced truncation. Two new frequency …

Generalized time limited gramian based model reduction

D Kumar, A Jazlan, V Sreeram - 2017 Australian and New …, 2017 - ieeexplore.ieee.org
In this article, a generalized time limited Gramian based model reduction method is
presented for unstable systems. The proposed approach is also applicable to a system if it …

Resilient model approximation for Markov jump time-delay systems via reduced model with hierarchical Markov chains

Y Zhu, L Zhang, V Sreeram, W Shammakh… - International Journal of …, 2016 - Taylor & Francis
In this paper, the resilient model approximation problem for a class of discrete-time Markov
jump time-delay systems with input sector-bounded nonlinearities is investigated. A …