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 …

The difference between port-Hamiltonian, passive and positive real descriptor systems

K Cherifi, H Gernandt, D Hinsen - Mathematics of Control, Signals, and …, 2024 - Springer
The relation between passive and positive real systems has been extensively studied in the
literature. In this paper, we study their connection to the more recently used notion of port …

[HTML][HTML] The Kalman–Yakubovich–Popov inequality for differential-algebraic systems

T Reis, O Rendel, M Voigt - Linear Algebra and its Applications, 2015 - Elsevier
In this paper we revisit the Kalman–Yakubovich–Popov lemma for differential-algebraic
control systems. This lemma relates the positive semi-definiteness of the Popov function on …

Structure-preserving model order reduction for index one port-Hamiltonian descriptor systems

P Schwerdtner, T Moser, V Mehrmann… - arXiv preprint arXiv …, 2022 - arxiv.org
We develop optimization-based structure-preserving model order reduction (MOR) methods
for port-Hamiltonian (pH) descriptor systems of differentiation index one. Descriptor systems …

Bounded Real Lemma for Singular Caputo Fractional-Order Systems

MS Lin, JL Wu, A Arunkumar - IEEE Access, 2024 - ieeexplore.ieee.org
In this paper, we introduce an innovative generalized Lyapunov theorem and a novel
bounded real lemma designed for continuous-time linear singular systems with Caputo …

Optimal control of DAEs with unconstrained terminal costs

P Wijnbergen, S Trenn - 2021 60th IEEE Conference on …, 2021 - ieeexplore.ieee.org
This paper is concerned with the linear quadratic optimal control problem for impulse
controllable differential algebraic equations on a bounded half open interval. Regarding the …

Finite frequency H control for singular systems with application to a 2-machine 6-bus power network

H Li, Q Sun, W Zhang, G Hu - Systems Science & Control …, 2024 - Taylor & Francis
This paper is concerned with the H∞ control problem for singular systems over finite
frequency ranges. The disturbance is assumed to be within low-/middle-/high-frequency …

A new generalized bounded real lemma for continuous‐time descriptor systems

JL Wu, CF Yung - Asian Journal of Control, 2022 - Wiley Online Library
This paper proposes a new generalized Lyapunov theorem and a new generalized
bounded real lemma for continuous‐time linear descriptor systems. First, we provide a …

Iterative learning control for discrete singular time-delay systems

P Gu, S Tian, Q Liu - IMA Journal of Mathematical Control and …, 2019 - academic.oup.com
In this paper, the iterative learning control problem is studied for a class of discrete singular
time-delay systems. Based on the equivalent restrict decomposition form of singular …

-Passive Systems and Control Application

JD Stefanovski - IEEE Transactions on Automatic Control, 2020 - ieeexplore.ieee.org
A class of F-passive descriptor systems is introduced, where F is also a descriptor system.
Time-domain and frequency-domain characterizations are presented, as well as properties …