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This paper addresses the synthesis of interval observers for partially unknown nonlinear systems subject to bounded noise, aiming to simultaneously estimate system states and learn a model of the unknown dynamics. Our approach leverages…

Systems and Control · Electrical Eng. & Systems 2025-04-15 Mohammad Khajenejad , Zeyuan Jin

Data scarcity is a bottleneck to machine learning-based perception modules, usually tackled by augmenting real data with synthetic data from simulators. Realistic models of the vehicle perception sensors are hard to formulate in closed…

Image and Video Processing · Electrical Eng. & Systems 2019-12-03 Ahmad El Sallab , Ibrahim Sobh , Mohamed Zahran , Mohamed Shawky

To improve the predictive capacity of system models in the input-output sense, this paper presents a framework for model updating via learning of modeling uncertainties in locally (and thus also in globally) Lipschitz nonlinear systems.…

Systems and Control · Electrical Eng. & Systems 2024-06-11 Farhad Ghanipoor , Carlos Murguia , Peyman Mohajerin Esfahani , Nathan van de Wouw

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

A fixed-order set-valued observer is presented for linear parameter-varying systems with bounded-norm noise and under completely unknown attack signals, which simultaneously finds bounded sets of states and unknown inputs that include the…

Systems and Control · Electrical Eng. & Systems 2020-01-22 Mohammad Khajenejad , Sze Zheng Yong

We address the problem of learning the parameters of a stable linear time invariant (LTI) system or linear dynamical system (LDS) with unknown latent space dimension, or order, from a single time--series of noisy input-output data. We focus…

Systems and Control · Computer Science 2020-04-09 Tuhin Sarkar , Alexander Rakhlin , Munther A. Dahleh

This paper introduces a new nonlinear observer for state estimation of linear time invariant systems. The proposed observer contains a (nonlinear) cubic term in its error dynamics. "For the final version of this article, please refer to the…

Optimization and Control · Mathematics 2020-06-05 Mohammad Mahdi Share Pasand

This paper presents a funnel synthesis algorithm for computing controlled invariant sets and feedback control gains around a given nominal trajectory for dynamical systems with locally Lipschitz nonlinearities and bounded disturbances. The…

Optimization and Control · Mathematics 2024-01-17 Taewan Kim , Purnanand Elango , Taylor P. Reynolds , Behçet Açıkmeşe , Mehran Mesbahi

The internal state of a dynamical system, a set of variables that defines its evolving configuration, is often hidden and cannot be fully measured, posing a central challenge for real-time monitoring and control. While observers are…

Systems and Control · Electrical Eng. & Systems 2025-12-09 Yuan Zhang , Ziyuan Luo , Wenxuan Xu , Jiayu Wu , Wenqi Cao , Ranbo Cheng , Tingting Qin , Yuanqing Xia , Mohamed Darouach , Aming Li , Tyrone Fernando

We present Neural Stochastic Contraction Metrics (NSCM), a new design framework for provably-stable robust control and estimation for a class of stochastic nonlinear systems. It uses a spectrally-normalized deep neural network to construct…

Machine Learning · Computer Science 2021-01-05 Hiroyasu Tsukamoto , Soon-Jo Chung , Jean-Jacques E. Slotine

Problem of adaptive state observer synthesis for linear time-varying (LTV) system with unknown time-varying parameter and delayed output measurements is considered. State observation problem has attracted the attention of many researchers…

Dynamical Systems · Mathematics 2022-07-26 Alexey Bobtsov , Nikolay Nikolaev , Olga Slita , Olga Kozachek

This work introduces a learning-enhanced observer (LEO) for linear time-invariant systems with uncertain dynamics. Rather than relying solely on nominal models, the proposed framework treats the system matrices as optimizable variables and…

Machine Learning · Computer Science 2025-11-21 Hao Shu

Extracting predictive models from nonlinear systems is a central task in scientific machine learning. One key problem is the reconciliation between modern data-driven approaches and first principles. Despite rapid advances in machine…

Chaotic Dynamics · Physics 2021-12-03 Tom Z. Jiahao , M. Ani Hsieh , Eric Forgoston

This paper studies the data-driven synthesis of linear quadratic integral (LQI) controllers for continuous-time systems. The objective is to achieve optimal state-feedback control with integral action for reference tracking using only…

Systems and Control · Electrical Eng. & Systems 2026-04-17 Armin Gießler , Pol Jané-Soneira , Sören Hohmann

Learning operators between infinitely dimensional spaces is an important learning task arising in wide applications in machine learning, imaging science, mathematical modeling and simulations, etc. This paper studies the nonparametric…

Machine Learning · Statistics 2022-01-04 Hao Liu , Haizhao Yang , Minshuo Chen , Tuo Zhao , Wenjing Liao

This paper studies a network of observers for a distributed estimation problem, where each observer assesses a portion of output of a given LTI system. The goal of each observer is to compute a state estimate that asymptotically converges…

Optimization and Control · Mathematics 2012-03-19 Shinkyu Park , Nuno C. Martins

The paper presents a novel approach to synthesize robust controllers for nonlinear systems along perturbed trajectories. The approach linearizes the system with respect to a reference trajectory. In contrast to existing methods rooted in…

Systems and Control · Electrical Eng. & Systems 2025-07-08 Felix Biertümpfel , Peter Seiler , Harald Pfifer

One of the most interesting questions in control theory is that of constructing observers. Observers compute estimates of the internal states of a dynamical system, using data provided by measurement probes or partial state information. For…

Optimization and Control · Mathematics 2007-05-23 Madalena Chaves , Eduardo D. Sontag

Synthesizing controllers directly from frequency-domain measurement data is a powerful tool in the linear time-invariant framework. Ever-increasing performance requirements necessitate extending these approaches to account for plant…

Systems and Control · Electrical Eng. & Systems 2021-07-22 Tom Bloemers , Roland Tóth , Tom Oomen

An adaptive state observer is proposed for a class of overparametrized uncertain linear time-invariant systems without restrictive requirement of their representation in the observer canonical form. It evolves the method of generalized…

Systems and Control · Electrical Eng. & Systems 2023-01-19 Anton Glushchenko , Konstantin Lastochkin
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