A new passivity preserving model order reduction method: conic positive real balanced truncation method

Z Salehi, P Karimaghaee… - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
This article is dedicated to model order reduction of linear time-invariant passive systems, ie,
positive real (PR) systems, based on the balanced truncation (BT) concept. The main feature …

Model order reduction of positive real systems based on mixed gramian balanced truncation with error bounds

Z Salehi, P Karimaghaee, MH Khooban - Circuits, Systems, and Signal …, 2021 - Springer
In this paper, we discuss the problem of model order reduction for positive real systems
based on balancing methods. The mixed gramian balanced truncation (MGBT) method …

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 …

Time‐limited pseudo‐optimal‐model order reduction

U Zulfiqar, V Sreeram, X Du - IET Control Theory & Applications, 2020 - Wiley Online Library
A model order reduction algorithm is presented that generates a reduced‐order model of the
original high‐order model, which ensures high fidelity within the desired time interval. The …

Model order reduction of port-Hamiltonian systems with inhomogeneous initial conditions via approximate finite-time Gramians

Y Li, Y Jiang, P Yang - Applied Mathematics and Computation, 2022 - Elsevier
Based on the approximate finite-time Gramians, this paper studies model order reduction
method of port-Hamiltonian systems with inhomogeneous initial conditions. The …

Mixed Riccati–Lyapunov Balanced Truncation for Order Reduction of Electrical Circuit Systems

HD Dao, TT Nguyen, NK Vu, HS Vu, HQ Nguyen - Energies, 2024 - mdpi.com
This paper proposes a novel algorithm, termed Mixed Riccati–Lyapunov Balanced
Truncation (MRLBT), tailored for order reduction of Linear Time-Invariant Continuous-Time …

Adaptive frequency‐limited‐model order reduction

U Zulfiqar, V Sreeram, X Du - Asian Journal of Control, 2022 - Wiley Online Library
In this paper, we present an adaptive framework for constructing a pseudo‐optimal reduced
model for the frequency‐limited‐optimal model order reduction problem. We show that the …

New input-output matrices based frequency interval balanced truncation

V Sharma, P Sahu, D Kumar - 2022 IEEE 9th Uttar Pradesh …, 2022 - ieeexplore.ieee.org
The existing frequency-limited interval-based model reduction techniques can generate
unstable models for a stable continuous-time linear system. Further, some current methods …

Relative error-based time-limited H2 model order reduction via oblique projection

U Zulfiqar, X Du, QY Song, ZH Xiao… - Journal of the Franklin …, 2024 - Elsevier
In time-limited model order reduction, a reduced-order approximation of the original high-
order model is obtained that accurately approximates the original model within the desired …

H2 near-optimal projection methods for finite-horizon model order reduction

U Zulfiqar - 2021 - research-repository.uwa.edu.au
This thesis investigates the H 2-optimal model order reduction problem within finite time and
frequency intervals. Several oblique projection-based algorithms are proposed that …