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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

Automating complex industrial robots requires precise nonlinear control and efficient energy management. This paper introduces a data-driven nonlinear model predictive control (NMPC) framework to optimize control under multiple objectives.…

Robotics · Computer Science 2024-11-22 Dexian Ma , Bo Zhou

We present a novel data-driven Model Predictive Control (MPC) algorithm for nonlinear systems. The method is based on recent extensions of behavioural theory and Willem's Fundamental Lemma for nonlinear systems by the means of adequate…

Systems and Control · Electrical Eng. & Systems 2023-09-18 Marcelo Menezes Morato , Julio Elias Normey-Rico , Olivier Sename

Probabilistic Law Discovery (PLD) is a logic based Machine Learning method, which implements a variant of probabilistic rule learning. In several aspects, PLD is close to Decision Tree/Random Forest methods, but it differs significantly in…

Artificial Intelligence · Computer Science 2022-12-23 Alexander Demin , Denis Ponomaryov

A Learning Model Predictive Controller (LMPC) is presented and tailored to platooning and Connected Autonomous Vehicles (CAVs) applications. The proposed controller builds on previous work on nonlinear LMPC, adapting its architecture and…

Optimization and Control · Mathematics 2019-08-09 Hassan Jafarzadeh , Cody Fleming

We present an efficient and practical (polynomial time) algorithm for online prediction in unknown and partially observed linear dynamical systems (LDS) under stochastic noise. When the system parameters are known, the optimal linear…

Machine Learning · Computer Science 2020-10-13 Paria Rashidinejad , Jiantao Jiao , Stuart Russell

Enabling humanoid robots to perform long-horizon mobile manipulation planning in real-world environments based on embodied perception and comprehension abilities has been a longstanding challenge. With the recent rise of large language…

Robotics · Computer Science 2025-03-12 Fangyuan Wang , Shipeng Lyu , Peng Zhou , Anqing Duan , Guodong Guo , David Navarro-Alarcon

By means of the linear parameter-varying (LPV) Fundamental Lemma, we derive novel data-driven predictive control (DPC) methods for LPV systems. In particular, we present output-feedback and state-feedback-based LPV-DPC methods with terminal…

Systems and Control · Electrical Eng. & Systems 2026-02-26 Chris Verhoek , Julian Berberich , Sofie Haesaert , Roland Tóth , Hossam S. Abbas

This study proposes an interpretable prediction framework with literature-informed fine-tuned (LIFT) LLMs for truck driving risk prediction. The framework integrates an LLM-driven Inference Core that predicts and explains truck driving…

Artificial Intelligence · Computer Science 2025-10-28 Xiao Hu , Yuansheng Lian , Ke Zhang , Yunxuan Li , Yuelong Su , Meng Li

Identifying hidden dynamics from observed data is a significant and challenging task in a wide range of applications. Recently, the combination of linear multistep methods (LMMs) and deep learning has been successfully employed to discover…

Numerical Analysis · Mathematics 2022-09-14 Qiang Du , Yiqi Gu , Haizhao Yang , Chao Zhou

This paper presents a comprehensive approach to nonlinear dynamics identification for UAVs using a combination of data-driven techniques and theoretical modeling. Two key methodologies are explored: Proportional-Derivative (PD)…

Systems and Control · Electrical Eng. & Systems 2024-10-16 Bryan S. Guevara , Viviana Moya , Daniel C. Gandolfo , Juan M. Toibero

For the application of MPC design in on-line regulation or tracking control problems, several studies have attempted to develop an accurate model, and realize adequate uncertainty description of linear or non-linear plants of the processes.…

Optimization and Control · Mathematics 2019-04-03 Yuanqiang Zhou , Dewei Li , Yugeng Xi , Zhongxue Gan

Achieving rapid and time-deterministic stabilization for complex systems characterized by strong nonlinearities and parametric uncertainties presents a significant challenge. Traditional model-based control relies on precise system models,…

Systems and Control · Electrical Eng. & Systems 2025-07-04 Yue Wu

We propose a computationally efficient Learning Model Predictive Control (LMPC) scheme for constrained optimal control of a class of nonlinear systems where the state and input can be reconstructed using lifted outputs. For the considered…

Optimization and Control · Mathematics 2021-01-19 Siddharth H. Nair , Ugo Rosolia , Francesco Borrelli

This paper presents a novel framework for stabilizing nonlinear systems represented in state-dependent form. We first reformulate the nonlinear dynamics as a state-dependent parameter-varying model and synthesize a stabilizing controller…

Systems and Control · Electrical Eng. & Systems 2025-10-21 Lidong Li , Rui Huang , Lin Zhao

In the biomedical environment, experiments assessing dynamic processes are primarily performed by a human acquisition supervisor. Contemporary implementations of such experiments frequently aim to acquire a maximum number of relevant events…

Computer Vision and Pattern Recognition · Computer Science 2023-10-10 Nils Friederich , Angelo Yamachui Sitcheu , Oliver Neumann , Süheyla Eroğlu-Kayıkçı , Roshan Prizak , Lennart Hilbert , Ralf Mikut

Dynamic Mode Decomposition (DMD) is a technique to approximate generally non-linear dynamical systems using linear techniques, which are better understood and easier to analyze. Koopman theory extends DMD by transforming the original system…

Optimization and Control · Mathematics 2022-11-15 Sourya Dey

This paper develops a data-driven safe control framework for linear systems possessing a known strict-feedback structure, but with most plant parameters, external disturbances, and input delay being unknown. By leveraging Koopman operator…

Systems and Control · Electrical Eng. & Systems 2026-02-10 Zhenxu Zhao , Ji Wang , Weiyao Lan

This paper presents a novel data-driven, direct filtering approach for unknown linear time-invariant systems affected by unknown-but-bounded measurement noise. The proposed technique combines independent multistep prediction models,…

Optimization and Control · Mathematics 2020-08-28 Marco Lauricella , Lorenzo Fagiano

Recent literature has shown how linear time-invariant (LTI) systems can be represented by trajectories features, that is relying on a single input-output (IO) data dictionary to span all possible system trajectories, as long as the input is…

Systems and Control · Electrical Eng. & Systems 2023-09-18 Marcelo Menezes Morato , Julio Elias Normey-Rico , Olivier Sename
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