Recurrent equilibrium networks: Flexible dynamic models with guaranteed stability and robustness
This article introduces recurrent equilibrium networks (RENs), a new class of nonlinear
dynamical models for applications in machine learning, system identification, and control …
dynamical models for applications in machine learning, system identification, and control …
A Lyapunov function for robust stability of moving horizon estimation
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 …
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 …
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 …
nonlinear systems: the Koopman operator framework and contraction analysis. Each …
Further results on incremental input-to-state stability based on contraction-metric analysis
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 …
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
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 …
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 …
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 …
stabilization of error dynamics and most of the results can only guarantee asymptotic …
Robust output feedback model predictive control using online estimation bounds
We present a framework to design nonlinear robust output feedback model predictive control
(MPC) schemes that ensure constraint satisfaction under noisy output measurements and …
(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
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 …
algorithm. In this article, we address the problem of algorithm acceleration for distributed …