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This paper presents a new robust data-driven predictive control scheme for unknown linear time-invariant systems by using input-state-output or input-output data based on whether the state is measurable. To remove the need for the…

Systems and Control · Electrical Eng. & Systems 2024-01-17 Kaijian Hu , Tao Liu

Due to their relevance in systems analysis and (robust) controller design, we consider the problem of determining control-theoretic system properties of an a priori unknown system from data only. More specifically, we introduce a necessary…

Systems and Control · Electrical Eng. & Systems 2020-02-11 Anne Koch , Julian Berberich , Johannes Köhler , Frank Allgöwer

The increase in system complexity paired with a growing availability of operational data has motivated a change in the traditional control design paradigm. Instead of modeling the system by first principles and then proceeding with a…

Optimization and Control · Mathematics 2020-10-06 Juan G. Rueda-Escobedo , Johannes Schiffer

This paper proposes a novel online data-driven adaptive control for unknown linear time-varying systems. Initialized with an empirical feedback gain, the algorithm periodically updates this gain based on the data collected over a short time…

Systems and Control · Electrical Eng. & Systems 2024-01-31 Shenyu Liu , Kaiwen Chen , Jaap Eising

An external description for nonperiodically sampled multivariable linear systems has been developed. Emphasis is on the sampling period sequence, included among the variables to be handled. The computational procedure is simple and no use…

Dynamical Systems · Mathematics 2010-06-08 Amparo Fúster-Sabater

This paper considers a single-trajectory system identification problem for linear systems under general nonlinear and/or time-varying policies with i.i.d. random excitation noises. The problem is motivated by safe learning-based control for…

Optimization and Control · Mathematics 2023-06-21 Yingying Li , Tianpeng Zhang , Subhro Das , Jeff Shamma , Na Li

We consider adaptive control problem in presence of nonlinear parametrization of uncertainties in the model. It is shown that despite traditional approaches require for domination in the control loop during adaptation, it is not often…

Optimization and Control · Mathematics 2007-05-23 Ivan Tyukin , Cees van Leeuwen

This paper develops a method to learn optimal controls from data for bilinear systems without a priori knowledge of the system dynamics. Given an unknown bilinear system, we first characterize when the available data is suitable to solve…

Optimization and Control · Mathematics 2023-10-13 Zhenyi Yuan , Jorge Cortes

This paper investigates the data-driven predictive control problems for a class of continuous-time industrial processes with completely unknown dynamics. The proposed approach employs the data-driven technique to get the system matrices…

Optimization and Control · Mathematics 2020-12-08 Yuanqiang Zhou , Dewei Li , Yugeng Xi

This paper is mainly concerned with the robustly stable adaptive control of single-input single-output impulse-free linear time-invariant singular dynamic systems of known order and unknown parameterizations subject to single external point…

Optimization and Control · Mathematics 2008-04-07 M. De la Sen

The goal of this paper is to develop data-driven control design and evaluation strategies based on linear matrix inequalities (LMIs) and dynamic programming. We consider deterministic discrete-time LTI systems, where the system model is…

Optimization and Control · Mathematics 2021-06-17 Donghwan Lee , Do Wan Kim

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

We derive novel criteria for designing stabilizing dynamic output-feedback controllers for a class of aperiodic impulsive systems subject to a range dwell-time condition. Our synthesis conditions are formulated as clock-dependent linear…

Optimization and Control · Mathematics 2022-05-12 Tobias Holicki , Carsten W. Scherer

We consider the problem of discounted optimal state-feedback regulation for general unknown deterministic discrete-time systems. It is well known that open-loop instability of systems, non-quadratic cost functions and complex nonlinear…

Systems and Control · Electrical Eng. & Systems 2020-03-31 Alexandros Tanzanakis , John Lygeros

Nonlinear control-affine systems with time-varying vector fields are considered in the paper. We propose a unified control design scheme with oscillating inputs for solving the trajectory tracking and stabilization problems. This…

Optimization and Control · Mathematics 2023-10-31 Victoria Grushkovskaya , Alexander Zuyev

Optimal sampled-data control of a nonlinear system is considered with the stable-manifold approach and extensive use of numerical techniques. The idea is to notice the Hamiltonian system associated with the considered optimal control…

Systems and Control · Electrical Eng. & Systems 2021-12-30 Yasuaki Oishi , Noboru Sakamoto

We study the transport properties of nonautonomous chaotic dynamical systems over a finite time duration. We are particularly interested in those regions that remain coherent and relatively non-dispersive over finite periods of time,…

Dynamical Systems · Mathematics 2015-05-19 Gary Froyland , Naratip Santitissadeekorn , Adam Monahan

This paper studies data-driven control of unknown sampled-data systems with communication delays under an event-triggering transmission mechanism. Data-based representations for time-invariant linear systems with known or unknown system…

Systems and Control · Electrical Eng. & Systems 2023-09-15 Xin Wang , Jian Sun , Julian Berberich , Gang Wang , Frank Allgöwer , Jie Chen

This paper studies the $\alpha$-stability property of differentially flat nonlinear dynamical systems. The results build off the recently introduced notion of $\alpha$-stability, which is particularly amenable to characterize the ability of…

Dynamical Systems · Mathematics 2026-05-29 Aadila Ali Sabry , Gennaro Notomista

We describe a method to model nonlinear dynamical systems using periodic solutions of delay-differential equations. We show that any finite-time trajectory of a nonlinear dynamical system can be loaded approximately into the initial…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Alexander N. Jourjine