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This paper presents a novel approach to synthesizing positive invariant sets for unmodeled nonlinear systems using direct data-driven techniques. The data-driven invariant sets are used to design a data-driven reference governor that…

Systems and Control · Electrical Eng. & Systems 2024-12-09 Ali Kashani , Claus Danielson

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

Managing noisy data is a central challenge in direct data-driven control design. We propose an approach for synthesizing model-reference controllers for linear time-invariant (LTI) systems using noisy state-input data, employing novel noise…

Systems and Control · Electrical Eng. & Systems 2025-03-20 Manas Mejari , Valentina Breschi , Simone Formentin , Dario Piga

This work presents a data-driven method for approximation of the maximum positively invariant (MPI) set and the maximum controlled invariant (MCI) set for nonlinear dynamical systems. The method only requires the knowledge of a finite…

Optimization and Control · Mathematics 2020-10-12 Milan Korda

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 offers a direct data-driven approach for learning robust control barrier certificates (R-CBCs) and robust safety controllers (R-SCs) for discrete-time input-affine polynomial systems with unknown dynamics under…

Systems and Control · Electrical Eng. & Systems 2025-07-22 Omid Akbarzadeh , MohammadHossein Ashoori , Abolfazl Lavaei

This paper addresses three complex control challenges related to input-saturated systems from a data-driven perspective. Unlike the traditional two-stage process involving system identification and model-based control, the proposed approach…

Optimization and Control · Mathematics 2024-05-14 Federico Porcari , Valentina Breschi , Luca Zaccarian , Simone Formentin

Robust design of autonomous systems under uncertainty is an important yet challenging problem. This work proposes a robust controller that consists of a state estimator and a tube based predictive control law. The class of linear systems…

Systems and Control · Electrical Eng. & Systems 2022-10-11 Tianchen Ji , Junyi Geng , Katherine Driggs-Campbell

We develop an indirect-adaptive model predictive control algorithm for uncertain linear systems subject to constraints. The system is modeled as a polytopic linear parameter varying system where the convex combination vector is constant but…

Systems and Control · Computer Science 2015-09-25 Stefano Di Cairano

We propose a robust data-driven model predictive control (MPC) scheme to control linear time-invariant (LTI) systems. The scheme uses an implicit model description based on behavioral systems theory and past measured trajectories. In…

Systems and Control · Electrical Eng. & Systems 2021-04-19 Julian Berberich , Johannes Köhler , Matthias A. Müller , Frank Allgöwer

State-of-the-art approaches of Robust Model Predictive Control (MPC) are restricted to linear systems of relatively small scale, i.e., with no more than about 5 states. The main reason is the computational burden of determining a robust…

Optimization and Control · Mathematics 2025-10-07 Georg Schildbach

We introduce a novel data-driven method to mitigate the risk of cascading failures in delayed discrete-time Linear Time-Invariant (LTI) systems. Our approach involves formulating a distributionally robust finite-horizon optimal control…

Optimization and Control · Mathematics 2023-10-19 Guangyi Liu , Arash Amini , Vivek Pandey , Nader Motee

This work proposes a data-driven regulator design that drives the output of a nonlinear system asymptotically to a time-varying reference and rejects time-varying disturbances. The key idea is to design a data-driven feedback controller…

Systems and Control · Electrical Eng. & Systems 2025-06-09 Yixuan Liu , Meichen Guo

In this paper, we address the problem of computing the maximal admissible robust positive invariant (MARPI) set for discrete-time linear time-varying systems with parametric uncertainties and additive disturbances. The system state and…

Optimization and Control · Mathematics 2024-06-26 Anchita Dey , Shubhendu Bhasin

This paper presents a robust data-driven controller design based on the noisy input-output data without assumptions on the statistical properties of the noises. We start with the direct data-representation of system models that take…

Optimization and Control · Mathematics 2023-02-24 Chin-Yao Chang , Andrey Bernstein

In this paper, we deal with data-driven predictive control of linear time-invariant (LTI) systems. Specifically, we show for the first time how explicit predictive laws can be learnt directly from data, without needing to identify the…

Systems and Control · Electrical Eng. & Systems 2021-09-14 Andrea Sassella , Valentina Breschi , Simone Formentin

The design of direct data-based controllers has become a fundamental part of control theory research in the last few years. In this paper, we consider three classes of data-based state feedback control problems for linear systems. These…

Systems and Control · Electrical Eng. & Systems 2026-05-15 Victor G. Lopez , Matthias A. Müller

This work proposes a robust data-driven predictive control approach for unknown nonlinear systems in the presence of bounded process and measurement noise. Data-driven reachable sets are employed for the controller design instead of using…

Systems and Control · Electrical Eng. & Systems 2023-07-18 Mahsa Farjadnia , Amr Alanwar , Muhammad Umar B. Niazi , Marco Molinari , Karl Henrik Johansson

In this paper, we revisit the computation of controlled invariant sets for linear discrete-time systems through a trajectory-based viewpoint. We begin by introducing the notion of convex feasible points, which provides a new…

Optimization and Control · Mathematics 2026-05-06 Emmanuel Junior Wafo Wembe , Adnane Saoud

In this paper, we derive closed-form expressions for implicit controlled invariant sets for discrete-time controllable linear systems with measurable disturbances. In particular, a disturbance-reactive (or disturbance feedback) controller…

Systems and Control · Electrical Eng. & Systems 2021-10-05 Zexiang Liu , Tzanis Anevlavis , Necmiye Ozay , Paulo Tabuada