Recurrent equilibrium networks: Flexible dynamic models with guaranteed stability and robustness

M Revay, R Wang… - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
This article introduces recurrent equilibrium networks (RENs), a new class of nonlinear
dynamical models for applications in machine learning, system identification, and control …

A Lyapunov function for robust stability of moving horizon estimation

JD Schiller, S Muntwiler, J Köhler… - … on Automatic Control, 2023 - ieeexplore.ieee.org
We provide a novel robust stability analysis for moving horizon estimation (MHE) using a
Lyapunov function. In addition, we introduce linear matrix inequalities (LMIs) to verify the …

Contraction-based methods for stable identification and robust machine learning: a tutorial

IR Manchester, M Revay… - 2021 60th IEEE …, 2021 - ieeexplore.ieee.org
This tutorial paper provides an introduction to recently developed tools for machine learning,
especially learning dynamical systems (system identification), with stability and robustness …

On the equivalence of contraction and Koopman approaches for nonlinear stability and control

B Yi, IR Manchester - IEEE Transactions on Automatic Control, 2023 - ieeexplore.ieee.org
In this paper we prove new connections between two frameworks for analysis and control of
nonlinear systems: the Koopman operator framework and contraction analysis. Each …

Further results on incremental input-to-state stability based on contraction-metric analysis

M Giaccagli, D Astolfi, V Andrieu - 2023 62nd IEEE Conference …, 2023 - ieeexplore.ieee.org
In this paper, we study the notion of incremental stability for continuous-time nonlinear
systems forced by some external input. Thanks to the notion of “Killing vector field”, we …

Observer-based asynchronous self-triggered control for a dynamic positioning ship with the hysteresis input

G Zhang, M Yao, Q Shan, W Zhang - Science China Information Sciences, 2022 - Springer
This paper focuses on the asynchronous self-triggered control scheme for a dynamic
positioning ship considering the hysteresis input. A novel self-triggered mechanism is …

Suboptimal nonlinear moving horizon estimation

JD Schiller, MA Müller - IEEE Transactions on Automatic …, 2022 - ieeexplore.ieee.org
In this article, we propose a suboptimal moving horizon estimator for a general class of
nonlinear systems. For the stability analysis, we transfer the “feasibility-implies …

Constructive exponential tracking control for mechanical systems via Hamiltonian realization and contraction analysis method

H Zhi, J Wei, Y Liu, S Ding, DH Owens - ISA transactions, 2023 - Elsevier
The conventional tracking control of mechanical systems is generally based on the
stabilization of error dynamics and most of the results can only guarantee asymptotic …

Robust output feedback model predictive control using online estimation bounds

J Köhler, MA Müller, F Allgöwer - arXiv preprint arXiv:2105.03427, 2021 - arxiv.org
We present a framework to design nonlinear robust output feedback model predictive control
(MPC) schemes that ensure constraint satisfaction under noisy output measurements and …

Distributed Nash equilibrium learning for average aggregative games: Harnessing smoothness to accelerate the algorithm

W Pan, X Xu, Y Lu, W Zhang - IEEE Systems Journal, 2023 - ieeexplore.ieee.org
Convergence speed is one of the most important features of an equilibrium-seeking
algorithm. In this article, we address the problem of algorithm acceleration for distributed …