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The development of feedback controllers is undergoing a paradigm shift from $\textit{modelic}$ (model-driven) control to $\textit{datatic}$ (data-driven) control. Stability, as a fundamental property in control, is less well studied in…

Systems and Control · Electrical Eng. & Systems 2024-01-31 Yujie Yang , Zhilong Zheng , Shengbo Eben Li

Sample-based trajectory optimisers are a promising tool for the control of robotics with non-differentiable dynamics and cost functions. Contemporary approaches derive from a restricted subclass of stochastic optimal control where the…

Robotics · Computer Science 2021-10-07 Tom Lefebvre , Guillaume Crevecoeur

The principal task to control dynamical systems is to ensure their stability. When the system is unknown, robust approaches are promising since they aim to stabilize a large set of plausible systems simultaneously. We study linear…

Systems and Control · Electrical Eng. & Systems 2020-11-24 Lenart Treven , Sebastian Curi , Mojmir Mutny , Andreas Krause

The application of distributed model predictive controllers (DMPC) for multi-agent systems (MASs) necessitates communication between agents, yet the consequence of communication data rates is typically overlooked. This work focuses on…

Systems and Control · Electrical Eng. & Systems 2023-08-08 Yujia Yang , Ye Wang , Chris Manzie , Ye Pu

In this paper, we address the problem of coordinating a set of distributed energy resources (DERs) to regulate voltage in power distribution systems to desired levels. To this end, we formulate the voltage control problem as an optimization…

Optimization and Control · Mathematics 2020-06-09 Hanchen Xu , Alejandro D. Domínguez-García , Peter W. Sauer

Though switched dynamical systems have shown great utility in modeling a variety of physical phenomena, the construction of an optimal control of such systems has proven difficult since it demands some type of optimal mode scheduling. In…

Optimization and Control · Mathematics 2014-02-04 Ramanarayan Vasudevan , Humberto Gonzalez , Ruzena Bajcsy , S. Shankar Sastry

We study the statistics of the amplitude of the synchronization error in chaotic electronic circuits coupled through linear feedback. Depending on the coupling strength, our system exhibits three qualitatively different regimes of…

The literature dealing with data-driven analysis and control problems has significantly grown in the recent years. Most of the recent literature deals with linear time-invariant systems in which the uncertainty (if any) is assumed to be…

Optimization and Control · Mathematics 2020-05-12 Daniele Alpago , Florian Dorfler , John Lygeros

In this paper, we introduce a physics-driven regularization method for training of deep neural networks (DNNs) for use in engineering design and analysis problems. In particular, we focus on prediction of a physical system, for which in…

Machine Learning · Computer Science 2019-10-17 Mohammad Amin Nabian , Hadi Meidani

Linear quadratic regulator with unmeasurable states and unknown system matrix parameters better aligns with practical scenarios. However, for this problem, balancing the optimality of the resulting controller and the leniency of the…

Optimization and Control · Mathematics 2025-09-04 Jun Xie , Yuan-Hua Ni , Yiqin Yang , Bo Xu

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 we consider new regularization methods for linear inverse problems of dynamic type. These methods are based on dynamic programming techniques for linear quadratic optimal control problems. Two different approaches are…

Numerical Analysis · Mathematics 2021-01-26 S. Kindermann , A. Leitao

Based on the extension of the behavioral theory and the Fundamental Lemma for Linear Parameter-Varying (LPV) systems, this paper introduces a Data-driven Predictive Control (DPC) scheme capable to ensure reference tracking and satisfaction…

Systems and Control · Electrical Eng. & Systems 2022-01-25 Chris Verhoek , Hossam S. Abbas , Roland Tóth , Sofie Haesaert

We present a continuous-time equivalent to the well-known iterative linear-quadratic algorithm including an implementation of a backtracking line-search policy and a novel regularization approach based on the necessary conditions in the…

Systems and Control · Electrical Eng. & Systems 2025-05-22 Juraj Lieskovský , Jaroslav Bušek , Tomáš Vyhlídal

In this paper, we propose a data-driven predictive control scheme based on measured frequency-domain data of the plant. This novel scheme complements the well-known data-driven predictive control (DeePC) approach based on time series data.…

Systems and Control · Electrical Eng. & Systems 2024-10-01 T. J. Meijer , S. A. N. Nouwens , K. J. A. Scheres , V. S. Dolk , W. P. M. H. Heemels

Selecting the best regularization parameter in inverse problems is a classical and yet challenging problem. Recently, data-driven approaches have become popular to tackle this challenge. These approaches are appealing since they do require…

Statistics Theory · Mathematics 2025-10-22 Jonathan Chirinos Rodriguez , Ernesto De Vito , Cesare Molinari , Lorenzo Rosasco , Silvia Villa

In this paper, we study the linear quadratic (LQ) optimal control problem of linear systems with private input and measurement information. The main challenging lies in the unavailability of other regulators' historical input information.…

Optimization and Control · Mathematics 2023-05-29 Juanjuan Xu , Huanshui Zhang

Sampling-based model predictive control (MPC) has found significant success in optimal control problems with non-smooth system dynamics and cost function. Many machine learning-based works proposed to improve MPC by a) learning or…

Machine Learning · Computer Science 2024-01-08 Sungwook Yang , Chaoying Pei , Ran Dai , Chuangchuang Sun

We investigate the problem of practical output regulation, i.e., to design a controller that brings the system output in the vicinity of a desired target value while keeping the other variables bounded. We consider uncertain systems that…

Optimization and Control · Mathematics 2021-07-19 Mohammad Saeed Sarafraz , Anton V. Proskurnikov , Mohammad Saleh Tavazoei , Peyman Mohajerin Esfahani

In the realm of control systems, model predictive control (MPC) has exhibited remarkable potential; however, its reliance on accurate models and substantial computational resources has hindered its broader application, especially within…

Systems and Control · Electrical Eng. & Systems 2025-04-14 Amin Vahidi-Moghaddam , Kaian Chen , Kaixiang Zhang , Zhaojian Li , Yan Wang , Kai Wu