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Motivated by vision-based control of autonomous vehicles, we consider the problem of controlling a known linear dynamical system for which partial state information, such as vehicle position, is extracted from complex and nonlinear data,…

Optimization and Control · Mathematics 2019-12-24 Sarah Dean , Nikolai Matni , Benjamin Recht , Vickie Ye

In this paper we show how nonlinear internal models can be effectively used in the design of output regulators for nonlinear systems. This result provides a significant enhancement of the non-equilibrium theory for output regulation, which…

Optimization and Control · Mathematics 2007-05-23 C. I. Byrnes , A. Isidori

Control using quantized feedback is a fundamental approach to system synthesis with limited communication capacity. In this paper, we address the stabilization problem for unknown linear systems with logarithmically quantized feedback, via…

Optimization and Control · Mathematics 2022-03-11 Feiran Zhao , Xingchen Li , Keyou You

In this paper, a simple heuristic is proposed for the design of uncertainty aware predictive controllers for nonlinear models involving uncertain parameters. The method relies on Machine Learning-based approximation of ideal deterministic…

Systems and Control · Electrical Eng. & Systems 2021-02-05 Mazen Alamir

Studying structural properties of linear dynamical systems through invariant subspaces is one of the key contributions of the geometric approach to system theory. In general, a model of the dynamics is required in order to compute the…

Systems and Control · Electrical Eng. & Systems 2022-01-12 Federico Celi , Fabio Pasqualetti

In this paper we study the problem of learning minimum-energy controls for linear systems from heterogeneous data. Specifically, we consider datasets comprising input, initial and final state measurements collected using experiments with…

Optimization and Control · Mathematics 2020-06-22 Giacomo Baggio , Fabio Pasqualetti

We demonstrate that direct data-driven control of nonlinear systems can be successfully accomplished via a behavioral approach that builds on a Linear Parameter-Varying (LPV) system concept. An LPV data-driven representation is used as a…

Systems and Control · Electrical Eng. & Systems 2024-01-24 Chris Verhoek , Hossam S. Abbas , Roland Tóth

The framework of linear parameter-varying (LPV) systems has shown to be a powerful tool for the design of controllers for complex nonlinear systems using linear tools. In this work, we derive novel methods that allow to synthesize LPV…

Systems and Control · Electrical Eng. & Systems 2025-07-01 Chris Verhoek , Roland Tóth , Hossam S. Abbas

This paper studies worst-case robust optimal tracking using noisy input-output data. We utilize behavioral system theory to represent system trajectories, while avoiding explicit system identification. We assume that the recent output data…

Optimization and Control · Mathematics 2021-06-28 Liang Xu , Mustafa Sahin Turan , Baiwei Guo , Giancarlo Ferrari-Trecate

This paper investigates the car-following problem and proposes a nonlinear controller that considers driving comfort, safety concerns, steady-state response and transient response. This controller is designed based on the demands of lower…

Systems and Control · Electrical Eng. & Systems 2023-01-02 Wubing B. Qin

We propose the application of Koopman operator theory for the design of stabilizing feedback controller for a nonlinear control system. The proposed approach is data-driven and relies on the use of time-series data generated from the…

Optimization and Control · Mathematics 2019-01-24 Bowen Huang , Xu Ma , Umesh Vaidya

We examine robust output feedback control of discrete-time nonlinear systems with bounded uncertainties affecting the dynamics and measurements. Specifically, we demonstrate how to construct semi-infinite programs that produce gains to…

Systems and Control · Electrical Eng. & Systems 2024-09-16 Jad Wehbeh , Eric C. Kerrigan

A new framework is developed for control of constrained nonlinear systems with structured parametric uncertainties. Forward invariance of a safe set is achieved through online parameter adaptation and data-driven model estimation. The new…

Systems and Control · Electrical Eng. & Systems 2020-06-01 Brett T. Lopez , Jean-Jacques E. Slotine , Jonathan P. How

In this paper, we consider the design of data-driven predictive controllers for nonlinear systems from input-output data via linear-in-control input Koopman lifted models. Instead of identifying and simulating a Koopman model to predict…

Optimization and Control · Mathematics 2024-05-03 Thomas de Jong , Valentina Breschi , Maarten Schoukens , Mircea Lazar

Data-driven controllers design is an important research problem, in particular when data is corrupted by the noise. In this paper, we propose a data-driven min-max model predictive control (MPC) scheme using noisy input-state data for…

Systems and Control · Electrical Eng. & Systems 2025-01-31 Yifan Xie , Julian Berberich , Frank Allgöwer

In this work, we introduce a novel data-driven model-reference control design approach for unknown linear systems with fully measurable state. The proposed control action is composed by a static feedback term and a reference tracking block,…

Systems and Control · Electrical Eng. & Systems 2021-09-29 Valentina Breschi , Claudio De Persis , Simone Formentin , Pietro Tesi

One approach for feedback control using high dimensional and rich sensor measurements is to classify the measurement into one out of a finite set of situations, each situation corresponding to a (known) control action. This approach…

Optimization and Control · Mathematics 2019-03-12 Hasan A. Poonawala , Niklas Lauffer , Ufuk Topcu

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…

We present a data-driven approach to efficiently approximate nonlinear transient dynamics in solid-state systems. Our proposed machine-learning model combines a dimensionality reduction stage with a nonlinear vector autoregression scheme.…

Computational Physics · Physics 2024-02-22 Stefan Meinecke , Felix Köster , Dominik Christiansen , Kathy Lüdge , Andreas Knorr , Malte Selig

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