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In this work, we exploit an offline-sampling based strategy for the constrained data-driven predictive control of an unknown linear system subject to random measurement noise. The strategy uses only past measured, potentially noisy data in…

Systems and Control · Electrical Eng. & Systems 2024-09-26 Johannes Teutsch , Sebastian Kerz , Tim Brüdigam , Dirk Wollherr , Marion Leibold

We tackle the problem of system identification, where we select inputs, observe the corresponding outputs from the true system, and optimize the parameters of our model to best fit the data. We propose a practical and computationally…

Systems and Control · Electrical Eng. & Systems 2025-10-02 Alexandros E. Tzikas , Mykel J. Kochenderfer

In this work, an adaptive predictive control scheme for linear systems with unknown parameters and bounded additive disturbances is proposed. In contrast to related adaptive control approaches that robustly consider the parametric…

Systems and Control · Electrical Eng. & Systems 2025-03-03 Johannes Teutsch , Christopher Narr , Sebastian Kerz , Dirk Wollherr , Marion Leibold

This paper is concerned with identifying linear system dynamics without the knowledge of individual system trajectories, but from the knowledge of the system's reachable sets observed at different times. Motivated by a scenario where the…

Systems and Control · Electrical Eng. & Systems 2023-09-11 Taha Shafa , Roy Dong , Melkior Ornik

This paper presents a linear-programming based algorithm to perform data-driven stabilizing control of linear positive systems. A set of state-input-transition observations is collected up to magnitude-bounded noise. A state feedback…

Optimization and Control · Mathematics 2023-03-23 Jared Miller , Tianyu Dai , Mario Sznaier , Bahram Shafai

This paper proposes Select-Data-driven Predictive Control (Select-DPC), a new method for controlling nonlinear systems using output-feedback for which data are available but an explicit model is not. At each timestep, Select-DPC employs…

Systems and Control · Electrical Eng. & Systems 2025-05-23 Joshua Näf , Keith Moffat , Jaap Eising , Florian Dörfler

In this paper, we present a data-driven controller design method for continuous-time nonlinear systems, using no model knowledge but only measured data affected by noise. While most existing approaches focus on systems with polynomial…

Systems and Control · Electrical Eng. & Systems 2022-02-11 Robin Strässer , Julian Berberich , Frank Allgöwer

In this work, we propose explicit state-space based fault detection, isolation and estimation filters that are data-driven and are directly identified and constructed from only the system input-output (I/O) measurements and through…

Systems and Control · Computer Science 2016-10-20 Esmaeil Naderi , Khashayar Khorasani

Set-membership estimation is usually formulated in the context of set-valued calculus and no probabilistic calculations are necessary. In this paper, we show that set-membership estimation can be equivalently formulated in the probabilistic…

Optimization and Control · Mathematics 2016-04-13 Alessio Benavoli , Dario Piga

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

The set-membership information fusion problem is investigated for general multisensor nonlinear dynamic systems. Compared with linear dynamic systems and point estimation fusion in mean squared error sense, it is a more challenging…

Information Theory · Computer Science 2017-02-20 Zhiguo Wang , Xiaojing Shen , Yunmin Zhu

There is a growing interest in data-driven control of nonlinear systems over the last years. In contrast to related works, this paper takes a step back and aims to solve the output matching problem, a problem closely related to the…

Optimization and Control · Mathematics 2023-02-27 Leander Hemelhof , Ivan Markovsky , Panagiotis Patrinos

We present a novel approach to control design for nonlinear systems which leverages model-free policy optimization techniques to learn a linearizing controller for a physical plant with unknown dynamics. Feedback linearization is a…

This letter presents a data-driven framework for the design of stabilizing controllers from input-output data in the continuous-time, linear, and time-invariant domain. Rather than relying on measurements or reliable estimates of input and…

Optimization and Control · Mathematics 2026-02-18 Corrado Possieri

Control invariant set is critical for guaranteeing safe control and the problem of computing control invariant set for linear discrete-time system is revisited in this paper by using a data-driven approach. Specifically, sample points on…

Optimization and Control · Mathematics 2022-11-24 Jun Xu , Fanglin Chen

System identification is of special interest in science and engineering. This article is concerned with a system identification problem arising in stochastic dynamic systems, where the aim is to estimate the parameters of a system along…

Methodology · Statistics 2022-01-27 Christos Merkatas , Simo Särkkä

Linearising the dynamics of nonlinear mechanical systems is an important and open research area. A common approach is feedback linearisation, which is a nonlinear control method that transforms the input-output response of a nonlinear…

Systems and Control · Electrical Eng. & Systems 2025-02-05 Merijn Floren , Koen Classens , Tom Oomen , Jean-Philippe Noël

In the context of dynamical systems, nonlinearity measures quantify the strength of nonlinearity by means of the distance of their input-output behaviour to a set of linear input-output mappings. In this paper, we establish a framework to…

Systems and Control · Electrical Eng. & Systems 2022-11-28 Tim Martin , Frank Allgöwer

The process of transforming observed data into predictive mathematical models of the physical world has always been paramount in science and engineering. Although data is currently being collected at an ever-increasing pace, devising…

Dynamical Systems · Mathematics 2018-01-08 Maziar Raissi , Paris Perdikaris , George Em Karniadakis

This paper proposes a novel framework for active fault diagnosis and parameter estimation in linear systems operating in closed-loop, subject to unknown but bounded faults. The approach integrates set-membership identification with a cost…

Optimization and Control · Mathematics 2025-08-19 Annalena Daniels , Johannes Teutsch , Fabian Kleindienst , Marion Leibold , Dirk Wollherr