Order reduction of real time electromechanical systems by using a new model order reduction method and controller design

AK Prajapati, S Sen, M Kumar, M Mehrotra - Circuits, Systems, and Signal …, 2024 - Springer
This paper presents a new hybrid model diminution algorithm for the simplification of large-
scale real time systems. This strategy leverages the balanced realization algorithm …

Laguerre-based low-rank balanced truncation of discrete-time systems

ZH **ao, YX Fang, YL Jiang - IEEE Transactions on Circuits and …, 2023 - ieeexplore.ieee.org
In this brief, a new model order reduction method based on low-rank Gramian approximation
is proposed for discrete-time systems. The main task is to use the Laguerre functions …

Mixed positive-bounded balanced truncation

Z Salehi, P Karimaghaee… - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
Reducing the order of positive real and bounded real systems has received great interest
over the years. Several methods have been published regarding these issues which are …

Reduction of linear dynamic systems using generalized approach of pole clustering method

AK Prajapati, R Prasad - … of the Institute of Measurement and …, 2022 - journals.sagepub.com
A new model order abatement method based on the clustering of poles and zeros of a large-
scale continuous time system is proposed. The clustering of poles and zeros are used for …

Confined frequency-interval Gramian framework-based balanced model reduction

V Sharma, D Kumar - IETE Journal of Research, 2024 - Taylor & Francis
Some of the existent frequency-limited model reduction techniques result in unstable
reduced-order models (ROMs). Further, the ROMs of a few methods differ significantly from …

Transformation of two-dimensional model into two-dimensional decoupled model and decomposition into one-dimensional models

M Imran, M Imran - International Journal of Systems Science, 2023 - Taylor & Francis
Two-dimensional models are challenging to deals with because of their complex structure.
Two-dimensional models can be separated into two sub-models only if they are represented …

Improved pole clustering-based LTI system reduction using a factor division algorithm

CN Singh, D Kumar, P Samuel - International Journal of Modelling …, 2019 - Taylor & Francis
In this paper, a novel technique is proposed to approximate the high-order linear continuous-
time and discrete-time systems. The proposed methodology is based on the improved pole …

SVD-based frequency weighted model order reduction of continuous-time systems

V Sharma, D Kumar - … on Power Electronics, Drives and Energy …, 2022 - ieeexplore.ieee.org
Some conventional frequency-weighted model reduction methods yield unstable reduced-
order models (ROM) even for originally stable systems. Further, in some instances, existing …

Frequency-weighted and frequency interval Gramian framework-based model reduction using singular value decomposition

V Sharma, D Kumar - IMA Journal of Mathematical Control and …, 2024 - academic.oup.com
It is observed that the reduced-order models (ROMs) by some existing limited Gramians-
based techniques deviate significantly from the high-order model, resulting in a large …

Model reduction of discrete time systems using time limited gramians

M Imran, A Ghafoor, U Zulfiqar… - 2018 Australian & New …, 2018 - ieeexplore.ieee.org
Time limited Gramians based balanced model reduction techniques for discrete time
systems are proposed. These techniques address the stability problem of the reduced order …