Model approximation for two-dimensional Markovian jump systems with state-delays and imperfect mode information

Y Wei, J Qiu, HR Karimi, M Wang - Multidimensional Systems and Signal …, 2015 - Springer
This paper is concerned with the problem of H _ ∞ H∞ model approximation for a class of
two-dimensional (2-D) discrete-time Markovian jump linear systems with state-delays and …

Passivity-preserving model reduction with finite frequency H∞ approximation performance

X Li, S Yin, H Gao - Automatica, 2014 - Elsevier
This paper is concerned with model reduction for passive systems. For a given linear time-
invariant system that is stable and positive real (PR), our goal is to find a PR reduced-order …

H∞ model reduction of linear continuous-time systems over finite-frequency interval

X Du, GH Yang - IET control theory & applications, 2010 - IET
This article studies the H∞ model reduction problem for linear continuous-time systems over
a finite-frequency interval. Different from the existing methods in the literature, we resort to …

[HTML][HTML] Development of frequency weighted model reduction algorithm with error bound: Application to doubly fed induction generator based wind turbines for power …

S Bashir, S Batool, M Imran, M Imran, MI Ahmad… - Electronics, 2020 - mdpi.com
The state-space representations grant a convenient, compact, and elegant way to examine
the induction and synchronous generator-based wind turbines, with facts readily available …

Stability preserving model reduction technique for 1-D and 2-D systems with error bounds

M Imran, A Ghafoor - IEEE transactions on circuits and systems …, 2021 - ieeexplore.ieee.org
2-D state-space models are hard to deal with due to the complex structure; furthermore,
simulation, analysis, design, and control will become more complicated when its order …

Frequency-limited reduced models for linear and bilinear systems on the Riemannian manifold

YL Jiang, KL Xu - IEEE Transactions on Automatic Control, 2020 - ieeexplore.ieee.org
In this article, we propose two new iterative algorithms to solve the frequency-limited
Riemannian optimization model order reduction problems of linear and bilinear systems …

Stability preserving model reduction technique for weighted and limited interval discrete-time systems with error bound

S Batool, M Imran - IEEE transactions on circuits and systems II …, 2021 - ieeexplore.ieee.org
The pioneer frequency weighted and limited Gramians based model order reduction
techniques presented by Enns and Wang & Zilouchian produce unstable reduced-order …

Finite-time balanced truncation for linear systems via shifted Legendre polynomials

ZH Xiao, YL Jiang, ZZ Qi - Systems & Control Letters, 2019 - Elsevier
In this paper, we present a finite-time model order reduction method for linear systems via
shifted Legendre polynomials. The main idea of the approach is to use finite-time empirical …

Stability preserving model reduction technique and error bounds using frequency-limited Gramians for discrete-time systems

M Imran, A Ghafoor - … Transactions on Circuits and Systems II …, 2014 - ieeexplore.ieee.org
A frequency-limited interval Gramians-based balanced model reduction technique for
discrete-time systems is proposed. The technique provides stable models and also yields …

Frequency limited & weighted model reduction algorithm with error bound: Application to discrete-time doubly fed induction generator based wind turbines for power …

S Bashir, S Batool, M Imran, MI Ahmad, FM Malik… - IEEE …, 2021 - ieeexplore.ieee.org
The state-space representations grant a convenient, compact, and elegant way to examine
the physical systems, eg, induction and synchronous generator-based wind turbines, with …