Control of port-Hamiltonian differential-algebraic systems and applications

V Mehrmann, B Unger - Acta Numerica, 2023 - cambridge.org
We discuss the modelling framework of port-Hamiltonian descriptor systems and their use in
numerical simulation and control. The structure is ideal for automated network-based …

[图书][B] Riemannian optimization and its applications

H Sato - 2021 - Springer
Mathematical optimization is an important branch of applied mathematics. Different classes
of optimization problems are categorized based on their problem structures. While there are …

Event-triggered fuzzy filtering for nonlinear dynamic systems via reduced-order approach

X Su, Y Wen, P Shi, HK Lam - IEEE Transactions on Fuzzy …, 2018 - ieeexplore.ieee.org
This paper is concerned with the problem of generalized H 2 reduced-order filter design for
continuous Takagi-Sugeno fuzzy systems using an event-triggered scheme. For a …

Port-Hamiltonian dynamic mode decomposition

R Morandin, J Nicodemus, B Unger - SIAM Journal on Scientific Computing, 2023 - SIAM
We present a novel physics-informed system identification method to construct a passive
linear time-invariant system. In more detail, for a given quadratic energy functional …

Riemannian modified Polak--Ribière--Polyak conjugate gradient order reduced model by tensor techniques

YL Jiang, KL Xu - SIAM Journal on Matrix Analysis and Applications, 2020 - SIAM
This paper presents a new Riemannian modified Polak--Ribière--Polyak conjugate gradient
algorithm to construct the reduced systems of quadratic-bilinear systems. We eliminate the …

Riemannian optimal model reduction of linear port-Hamiltonian systems

K Sato - Automatica, 2018 - Elsevier
In this paper, we describe the development of a Riemannian optimal model reduction
method for linear stable port-Hamiltonian systems. This development is motivated by the fact …

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 …

Riemannian geometric-nonlinear conjugate gradient model order reduction of linear port-Hamiltonian systems on finite frequency intervals

KL Xu, YL Jiang - IEEE Transactions on Automatic Control, 2023 - ieeexplore.ieee.org
In this article, we propose a new frequency-limited Riemannian geometric-nonlinear
conjugate gradient model order reduction (MOR) method with the modified Armijo step-size …

A New Riemannian Framework for Efficient ℋ2-Optimal Model Reduction of Port-Hamiltonian Systems

T Moser, B Lohmann - 2020 59th IEEE Conference on Decision …, 2020 - ieeexplore.ieee.org
We present a new framework for ℋ 2-optimal model reduction of linear port-Hamiltonian
systems. The approach retains structural properties of the original system, such as passivity …

Event-triggered fault detection filtering of fuzzy-model-based systems with prescribed performance

Y Wen, X Ye, X Su - IEEE Transactions on Fuzzy Systems, 2022 - ieeexplore.ieee.org
This article deals with the fault detection filtering problem for a nonlinear dynamic system in
the Takagi–Sugeno fuzzy framework. An event-triggered scheme considering network …