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The problem of state estimation for a system of coupled hyperbolic PDEs and ODEs with Lipschitz nonlinearities with boundary measurements is considered. An infinite dimensional observer with a linear boundary injection term is used to solve…

Systems and Control · Electrical Eng. & Systems 2021-01-19 Francesco Ferrante , Andrea Cristofaro

This paper proposes a novel distributed interval observer design for linear time-invariant (LTI) discrete-time systems subject to bounded disturbances. In the proposed observer algorithm, each agent in a networked group exchanges…

Systems and Control · Electrical Eng. & Systems 2022-09-07 Mohammad Khajenejad , Scott Brown , Sonia Martinez

This paper presents a robust control synthesis and analysis framework for nonlinear systems with uncertain initial conditions. First, a deep learning-based lifting approach is proposed to approximate nonlinear dynamical systems with linear…

Systems and Control · Electrical Eng. & Systems 2026-01-06 Sourav Sinha , Mazen Farhood

High-gain nonlinear observers occur in the nonlinear automatic control theory and are in standard usage in chemical engineering processes. We apply such a type of analysis in the context of a very simple one-gene regulation circuit. In…

Quantitative Methods · Quantitative Biology 2007-07-16 L. A. Torres , V. Ibarra-Junquera , P. Escalante-Minakata , H. C. Rosu

We perform approximate inference in state-space models with nonlinear state transitions. Without parameterizing a generative model, we apply Bayesian update formulas using a local linearity approximation parameterized by neural networks.…

Machine Learning · Computer Science 2022-01-26 David Ruhe , Patrick Forré

This paper proposes a new extended-state observer-based framework for adaptive nonlinear regulator design of a class of nonlinear systems, in the general nonequilibrium theory. By augmenting an extended-state observer with an internal…

Systems and Control · Electrical Eng. & Systems 2024-12-20 Lei Wang , Christopher M. Kellett

We consider an operator-based latent Markov representation of a stochastic nonlinear dynamical system, where the stochastic evolution of the latent state embedded in a reproducing kernel Hilbert space is described with the corresponding…

Machine Learning · Computer Science 2026-05-08 Naichang Ke , Ryogo Tanaka , Yoshinobu Kawahara

The knowledge of the states of a vehicle is a necessity to perform proper planning and control. These quantities are usually accessible through measurements. Control theory brings extremely useful methods -- observers -- to deal with…

Robotics · Computer Science 2023-04-03 Agapius Bou Ghosn , Philip Polack , Arnaud de La Fortelle

This paper discusses a general framework for designing robust state estimators for a class of discrete-time nonlinear systems. We consider systems that may be impacted by impulsive (sparse but otherwise arbitrary) measurement noise…

Optimization and Control · Mathematics 2026-05-13 Laurent Bako , Madiha Nadri , Vincent Andrieu , Qinghua Zhang

This paper presents a systematic observer design methodology for a class of port-Hamiltonian (pH) systems with state-dependent input matrices. Such systems can model a wide range of electromechanical systems, including magnetic levitation…

Optimization and Control · Mathematics 2026-04-06 Filippo Ugolini , Ning Liu , Yongxin Wu , Yann Le Gorrec , Alessandro Macchelli

In a recent paper we have shown that data collected from linear systems excited by persistently exciting inputs during low-complexity experiments, can be used to design state- and output-feedback controllers, including optimal Linear…

Systems and Control · Electrical Eng. & Systems 2021-03-31 Claudio De Persis , Pietro Tesi

This paper proposes an Extended-Kalman-Filter-like observer for parameter estimation during synchronization of chaotic systems. The exponential stability of the observer is guaranteed by a persistent excitation condition. This approach is…

Chaotic Dynamics · Physics 2017-06-21 L. Torres

Through the use of the Fundamental Lemma for linear systems, a direct data-driven state-feedback control synthesis method is presented for a rather general class of nonlinear (NL) systems. The core idea is to develop a data-driven…

Systems and Control · Electrical Eng. & Systems 2024-01-24 Chris Verhoek , Patrick J. W. Koelewijn , Sofie Haesaert , Roland Tóth

We propose an observer design for a cascaded system composed of an arbitrary nonlinear ordinary differential equation (ODE) with a 1D heat equation. The nonlinear output of the ODE imposes a boundary condition on one side of the heat…

Optimization and Control · Mathematics 2026-04-21 Adam Braun , Lucas Brivadis , Jean Auriol

In various applications in the field of control engineering the estimation of the state variables of dynamic systems in the presence of unknown inputs plays an important role. Existing methods require the so-called observer matching…

Systems and Control · Electrical Eng. & Systems 2022-04-08 Helmut Niederwieser , Markus Tranninger , Richard Seeber , Markus Reichhartinger

In this paper we consider the joint problems of state estimation and model identification for a class of continuous-time nonlinear systems in output-feedback canonical form. An adaptive observer is proposed that combines an extended…

Systems and Control · Electrical Eng. & Systems 2020-12-01 Michelangelo Bin , Lorenzo Marconi

New technologies for recording the activity of large neural populations during complex behavior provide exciting opportunities for investigating the neural computations that underlie perception, cognition, and decision-making. Nonlinear…

Machine Learning · Statistics 2020-06-30 Yuan Zhao , Il Memming Park

We introduce the notion of descriptor embedding for nonlinear systems and use it for the data-driven design of stabilizing controllers. Specifically, we provide sufficient data-dependent LMI conditions which, if feasible, return a…

Optimization and Control · Mathematics 2025-11-04 Mohammad Alsalti , Claudio De Persis , Victor G. Lopez , Matthias A. Müller

Accurate knowledge of the state variables in a dynamical system is critical for effective control, diagnosis, and supervision, especially when direct measurements of all states are infeasible. This paper presents a novel approach to…

Dynamical Systems · Mathematics 2025-07-10 Ayoub Farkane , Mohamed Boutayeb , Mustapha Oudani , Mounir Ghogho

We propose a novel and fully data driven control scheme which relies on machine learning (ML). Exploiting recently developed ML-based prediction capabilities of complex systems, we demonstrate that nonlinear systems can be forced to stay in…

Machine Learning · Computer Science 2021-03-02 Alexander Haluszczynski , Christoph Räth
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