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In this paper, we propose a novel data-driven predictive control approach for systems subject to time-domain constraints. The approach combines the strengths of H-infinity control for rejecting disturbances and MPC for handling constraints.…

Optimization and Control · Mathematics 2024-03-25 Nan Li , Ilya Kolmanovsky , Hong Chen

We consider learning from data of variable quality that may be obtained from different heterogeneous sources. Addressing learning from heterogeneous data in its full generality is a challenging problem. In this paper, we adopt instead a…

Machine Learning · Computer Science 2014-12-19 Shuang Song , Kamalika Chaudhuri , Anand D. Sarwate

This paper considers the problem of regulating a linear dynamical system to the solution of a convex optimization problem with an unknown or partially-known cost. We design a data-driven feedback controller - based on gradient flow dynamics…

Optimization and Control · Mathematics 2022-04-05 Liliaokeawawa Cothren , Gianluca Bianchin , Emiliano Dall'Anese

This paper proposes a novel approach to addressing the output synchronization problem in unknown heterogeneous multi-agent systems (MASs) using noisy data. Unlike existing studies that focus on noiseless data, we introduce a distributed…

Systems and Control · Electrical Eng. & Systems 2023-07-17 Yifei Li , Wenjie Liu , Jian Sun , Gang Wang , Lihua Xie , Jie Chen

Linearized models of power systems are often desirable to formulate tractable control and optimization problems that still reflect real-world physics adequately under various operating conditions. In this paper, we propose an approach that…

Optimization and Control · Mathematics 2018-05-28 Marc Hohmann , Joseph Warrington , John Lygeros

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

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

We address the problem of designing a stabilizing closed-loop control law directly from input and state measurements collected in an open-loop experiment. In the presence of noise in data, we have that a set of dynamics could have generated…

Systems and Control · Electrical Eng. & Systems 2022-08-31 Andrea Bisoffi , Claudio De Persis , Pietro Tesi

Learning-based intelligent energy management systems for plug-in hybrid electric vehicles (PHEVs) are crucial for achieving efficient energy utilization. However, their application faces system reliability challenges in the real world,…

Systems and Control · Electrical Eng. & Systems 2024-06-14 Hao Zhang , Nuo Lei , Boli Chen , Bingbing Li , Rulong Li , Zhi Wang

We develop a learning-based control algorithm for unknown dynamical systems under very severe data limitations. Specifically, the algorithm has access to streaming and noisy data only from a single and ongoing trial. It accomplishes such…

Systems and Control · Electrical Eng. & Systems 2021-12-30 Franck Djeumou , Ufuk Topcu

Predictive control, which is based on a model of the system to compute the applied input optimizing the future system behavior, is by now widely used. If the nominal models are not given or are very uncertain, data-driven model predictive…

Systems and Control · Electrical Eng. & Systems 2023-03-09 Hoang Hai Nguyen , Maurice Friedel , Rolf Findeisen

Designing data-driven controllers in the presence of noise is an important research problem, in particular when guarantees on stability, robustness, and constraint satisfaction are desired. In this paper, we propose a data-driven min-max…

Systems and Control · Electrical Eng. & Systems 2023-10-02 Yifan Xie , Julian Berberich , Frank Allgower

Controlling nonlinear systems, especially when data are being used to offset uncertainties in the model, is hard. A natural approach when dealing with the challenges of nonlinear control is to reduce the system to a linear one via change of…

Systems and Control · Electrical Eng. & Systems 2024-06-25 C. De Persis , D. Gadginmath , F. Pasqualetti , P. Tesi

This paper addresses the problem of data-driven modeling and verification of perception-based autonomous systems. We assume the perception model can be decomposed into a canonical model (obtained from first principles or a simulator) and a…

Systems and Control · Electrical Eng. & Systems 2023-12-13 Thomas Waite , Alexander Robey , Hassani Hamed , George J. Pappas , Radoslav Ivanov

Motivated by the lack of systematic tools to obtain safe control laws for hybrid systems, we propose an optimization-based framework for learning certifiably safe control laws from data. In particular, we assume a setting in which the…

Systems and Control · Electrical Eng. & Systems 2020-11-10 Lars Lindemann , Haimin Hu , Alexander Robey , Hanwen Zhang , Dimos V. Dimarogonas , Stephen Tu , Nikolai Matni

This paper proposes basic definitions of similarity and similarity indexes between heterogeneous linear systems and presents a similarity-based learning control strategy. By exploring geometric properties of admissible behaviors of linear…

Systems and Control · Electrical Eng. & Systems 2024-09-04 Chenchao Wang , Deyuan Meng

Based on stochastic differential equations (SDEs), we analyse the overall performance of heterogeneous power systems network, subject to spatially distributed and correlated noise with random initial conditions. We determine bounds on the…

Optimization and Control · Mathematics 2021-11-22 Taouba Jouini , Zhiyong Sun

In this paper we consider a problem of initial data identification from the final time observation for homogeneous parabolic problems. It is well-known that such problems are exponentially ill-posed due to the strong smoothing property of…

Optimization and Control · Mathematics 2019-05-06 Dmitriy Leykekhman , Boris Vexler , Daniel Walter

We study data-driven stabilization of continuous-time systems in autoregressive form when only noisy input-output data are available. First, we provide an operator-based characterization of the set of systems consistent with the data. Next,…

Optimization and Control · Mathematics 2026-02-04 Masashi Wakaiki

We consider the design of state feedback control laws for both the switching signal and the continuous input of an unknown switched linear system, given past noisy input-state trajectories measurements. Based on Lyapunov-Metzler…

Optimization and Control · Mathematics 2025-06-05 Mattia Bianchi , Sergio Grammatico , Jorge Cortés