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This paper presents an automatic formal controller synthesis method for nonlinear sampled-data systems with safety and reachability specifications. Fundamentally, the presented method is not restricted to polynomial systems and controllers.…

Systems and Control · Computer Science 2018-12-07 Cees F. Verdier , Manuel Mazo

Many systems are subject to periodic disturbances and exhibit repetitive behaviour. Model-based repetitive control employs knowledge of such periodicity to attenuate periodic disturbances and has seen a wide range of successful industrial…

Systems and Control · Electrical Eng. & Systems 2024-08-28 Rogier Dinkla , Tom Oomen , Sebastiaan Mulders , Jan-Willem van Wingerden

Distributed model predictive control methods for uncertain systems often suffer from considerable conservatism and can tolerate only small uncertainties due to the use of robust formulations that are amenable to distributed design and…

Systems and Control · Electrical Eng. & Systems 2022-03-03 Simon Muntwiler , Kim P. Wabersich , Lukas Hewing , Melanie N. Zeilinger

A major challenge faced in the design of large-scale cyber-physical systems, such as power systems, the Internet of Things or intelligent transportation systems, is that traditional distributed optimal control methods do not scale…

Optimization and Control · Mathematics 2017-01-23 Yuh-Shyang Wang , Nikolai Matni , John C. Doyle

We propose algorithms for performing model checking and control synthesis for discrete-time uncertain systems under linear temporal logic (LTL) specifications. We construct temporal logic trees (TLT) from LTL formulae via reachability…

Systems and Control · Electrical Eng. & Systems 2020-07-07 Yulong Gao , Alessandro Abate , Frank J. Jiang , Mirco Giacobbe , Lihua Xie , Karl H. Johansson

We present a direct data-driven approach to synthesize robust control invariant (RCI) sets and their associated gain-scheduled feedback control laws for linear parameter-varying (LPV) systems subjected to bounded disturbances. A data-set…

Systems and Control · Electrical Eng. & Systems 2023-11-06 Manas Mejari , Ankit Gupta , Dario Piga

A syntactic model is presented for the specification of finite-state synchronous digital logic systems with complex input/output interfaces, which control the flow of data between opaque computational elements, and for the composition of…

Logic in Computer Science · Computer Science 2023-02-02 Nick Mertin , K. Ritsuka , Karen Rudie

We investigate stability analysis and controller design of unknown continuous-time systems under state-feedback with aperiodic sampling, using only noisy data but no model knowledge. We first derive a novel data-dependent parametrization of…

Optimization and Control · Mathematics 2022-08-26 Julian Berberich , Stefan Wildhagen , Michael Hertneck , Frank Allgöwer

In this technical note, we generalize the well-known Lyapunov-based stabilizability and detectability tests for linear time-invariant (LTI) systems to the context of discrete-time (DT) polytopic linear parameter-varying (LPV) systems. To do…

Optimization and Control · Mathematics 2023-03-21 T. J. Meijer , V. S. Dolk , W. P. M. H. Heemels

This paper presents a tractable framework for data-driven synthesis of robustly safe control laws. Given noisy experimental data and some priors about the structure of the system, the goal is to synthesize a state feedback law such that the…

Optimization and Control · Mathematics 2023-03-17 Jian Zheng , Tianyu Dai , Jared Miller , Mario Sznaier

In this paper, we propose a deterministic diffusion-based framework for controlling the probability density of nonlinear control-affine systems, with theoretical guarantees for drift-free and linear time-invariant (LTI) dynamics. The…

Optimization and Control · Mathematics 2026-03-12 Karthik Elamvazhuthi , Darshan Gadginmath , Fabio Pasqualetti

In many applications, the integrals and derivatives of signals carry valuable information (e.g., cumulative success over a time window, the rate of change) regarding the behavior of the underlying system. In this paper, we extend the…

Systems and Control · Electrical Eng. & Systems 2021-03-29 Ali Tevfik Buyukkocak , Derya Aksaray , Yasin Yazıcıoğlu

Synthesizing safety controllers for general nonlinear systems is a highly challenging task, particularly when the system models are unknown, and input constraints are present. While some recent efforts have explored data-driven safety…

Systems and Control · Electrical Eng. & Systems 2025-03-12 Behrad Samari , Abolfazl Lavaei

The problem of data-driven control is addressed here in the context of switched affine systems. This class of nonlinear systems is of particular importance when controlling many types of applications in electronic, biology, medicine, etc.…

Systems and Control · Electrical Eng. & Systems 2023-02-24 Alexandre Seuret , Carolina Albea , Francisco Gordillo

Even for known nonlinear dynamical systems, feedback controller synthesis is a difficult problem that often requires leveraging the particular structure of the dynamics to induce a stable closed-loop system. For general nonlinear models,…

Systems and Control · Electrical Eng. & Systems 2023-06-27 Spencer M. Richards , Jean-Jacques Slotine , Navid Azizan , Marco Pavone

We propose a new method for controlled system synthesis on non-deterministic automata, which includes the synthesis for deadlock-freeness, as well as invariant and reachability expressions. Our technique restricts the behavior of a…

Formal Languages and Automata Theory · Computer Science 2014-08-15 Allan van Hulst , Michel Reniers , Wan Fokkink

In this paper we propose dynamic output-feedback controller synthesis methods for discrete-time linear time-invariant systems. The synthesis goal is to achieve dissipativity with respect to a given quadratic supply rate or a given $H_2$…

Optimization and Control · Mathematics 2026-03-25 Pietro Kristović , Andrej Jokić , Mircea Lazar

Willems et al.'s fundamental lemma asserts that all trajectories of a linear system can be obtained from a single given one, assuming that a persistency of excitation condition holds. This result has profound implications for system…

Optimization and Control · Mathematics 2020-05-08 Henk J. van Waarde , Claudio De Persis , M. Kanat Camlibel , Pietro Tesi

Data-based safe gain-scheduling controllers are presented for discrete-time linear parameter-varying systems (LPV) with polytopic models. First, $\lambda$-contractivity conditions are provided under which safety and stability of the LPV…

Systems and Control · Electrical Eng. & Systems 2022-07-19 Amir Modares , Nasser Sadati , Hamidreza Modares

A challenging problem for autonomous systems is to synthesize a reactive controller that conforms to a set of given correctness properties. Linear temporal logic (LTL) provides a formal language to specify the desired behavioral properties…

Formal Languages and Automata Theory · Computer Science 2019-10-08 Rayna Dimitrova , Mahsa Ghasemi , Ufuk Topcu