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The paper presents a robust parameter learning methodology for identification of nonlinear dynamical system from data while satisfying safety and stability constraints in the context of learning from demonstration (LfD) methods. Extreme…

Systems and Control · Electrical Eng. & Systems 2022-12-12 Iman Salehi , Ghananeel Rotithor , Ashwin P. Dani

In this work, we address the problem of solving complex collaborative robotic tasks subject to multiple varying parameters. Our approach combines simultaneous policy blending with system identification to create generalized policies that…

Robotics · Computer Science 2022-05-23 Luke Bhan , Marcos Quinones-Grueiro , Gautam Biswas

This tutorial paper provides an introduction to recently developed tools for machine learning, especially learning dynamical systems (system identification), with stability and robustness constraints. The main ideas are drawn from…

Systems and Control · Electrical Eng. & Systems 2021-10-04 Ian R. Manchester , Max Revay , Ruigang Wang

Reinforcement Learning (RL) is a powerful method for controlling dynamic systems, but its learning mechanism can lead to unpredictable actions that undermine the safety of critical systems. Here, we propose RL with Adaptive Regularization…

Machine Learning · Computer Science 2024-11-01 Haozhe Tian , Homayoun Hamedmoghadam , Robert Shorten , Pietro Ferraro

This paper concerns the problem of adaptive output regulation for multivariable nonlinear systems in normal form. We present a regulator employing an adaptive internal model of the exogenous signals based on the theory of nonlinear…

Systems and Control · Electrical Eng. & Systems 2020-09-16 Michelangelo Bin , Pauline Bernard , Lorenzo Marconi

In this paper, we provide a direct data-driven approach to synthesize safety controllers for unknown linear systems affected by unknown-but-bounded disturbances, in which identifying the unknown model is not required. First, we propose a…

Systems and Control · Electrical Eng. & Systems 2023-01-16 Bingzhuo Zhong , Majid Zamani , Marco Caccamo

This paper addresses the problem of composite synchronization and learning control in a network of multi-agent robotic manipulator systems with heterogeneous nonlinear uncertainties under a leader-follower framework. A novel two-layer…

Multiagent Systems · Computer Science 2024-05-10 Emadodin Jandaghi , Dalton L. Stein , Adam Hoburg , Paolo Stegagno , Mingxi Zhou , Chengzhi Yuan

We consider federated learning of linearly-parameterized nonlinear systems. We establish theoretical guarantees on the effectiveness of federated nonlinear system identification compared to centralized approaches, demonstrating that the…

Machine Learning · Computer Science 2026-04-27 Omkar Tupe , Max Hartman , Lav R. Varshney , Saurav Prakash

The linear quadratic regulator (LQR) problem is a cornerstone of automatic control, and it has been widely studied in the data-driven setting. The various data-driven approaches can be classified as indirect (i.e., based on an identified…

Optimization and Control · Mathematics 2021-09-15 Florian Dörfler , Pietro Tesi , Claudio De Persis

The ability to achieve precise and smooth trajectory tracking is crucial for ensuring the successful execution of various tasks involving robotic manipulators. State-of-the-art techniques require accurate mathematical models of the robot…

Robotics · Computer Science 2024-06-21 Mohamed Abdelwahab , Giulio Giacomuzzo , Alberto Dalla Libera , Ruggero Carli

In this paper, we study the use of state-of-the-art nonlinear system identification techniques for the optimal control of nonlinear systems. We show that the nonlinear systems identification problem is equivalent to estimating the…

Optimization and Control · Mathematics 2023-10-23 Aayushman Sharma , Suman Chakravorty

This paper is concerned with the robust tracking control of linear uncertain systems, whose unknown system parameters and disturbances are bounded within ellipsoidal sets. We propose an adaptive robust control that can actively learn the…

Systems and Control · Electrical Eng. & Systems 2023-08-08 Xuehui Ma , Shiliang Zhang , Yushuai Li , Fucai Qian , Tingwen Huang

We present a general variational framework for the training of freeform nonlinearities in layered computational architectures subject to some slope constraints. The regularization that we add to the traditional training loss penalizes the…

Machine Learning · Statistics 2025-03-31 Michael Unser , Alexis Goujon , Stanislas Ducotterd

Deep sequence models are receiving significant interest in current machine learning research. By representing probability distributions that are fit to data using maximum likelihood estimation, such models can model data on general…

Systems and Control · Electrical Eng. & Systems 2024-09-09 Kristian Løvland , Bjarne Grimstad , Lars Struen Imsland

Robust control is a core approach for controlling systems with performance guarantees that are robust to modeling error, and is widely used in real-world systems. However, current robust control approaches can only handle small system…

Optimization and Control · Mathematics 2021-06-08 Dimitar Ho , Hoang M. Le , John C. Doyle , Yisong Yue

The Linear Parameter-Varying (LPV) framework has been introduced with the intention to provide stability and performance guarantees for analysis and controller synthesis for Nonlinear (NL) systems via convex methods. By extending results of…

Systems and Control · Electrical Eng. & Systems 2023-03-08 Patrick J. W. Koelewijn , Roland Tóth , Henk Nijmeijer , Siep Weiland

This paper proposes a data-driven motion-planning framework for nonlinear systems that constructs a sequence of overlapping invariant polytopes. Around each randomly sampled waypoint, the algorithm identifies a convex admissible region and…

Systems and Control · Electrical Eng. & Systems 2025-08-04 Babak Esmaeili , Hamidreza Modares , Stefano Di Cairano

This paper proposes a data-driven control framework to regulate an unknown, stochastic linear dynamical system to the solution of a (stochastic) convex optimization problem. Despite the centrality of this problem, most of the available…

Optimization and Control · Mathematics 2021-08-31 Gianluca Bianchin , Miguel Vaquero , Jorge Cortes , Emiliano Dall'Anese

In this work, we describe a new approach that uses deep neural networks (DNN) to obtain regularization parameters for solving inverse problems. We consider a supervised learning approach, where a network is trained to approximate the…

Numerical Analysis · Mathematics 2021-04-15 Babak Maboudi Afkham , Julianne Chung , Matthias Chung

Controller design faces a trade-off between robustness and performance, and the reliability of linear controllers has caused many practitioners to focus on the former. However, there is renewed interest in improving system performance to…

Optimization and Control · Mathematics 2012-08-07 Anil Aswani , Humberto Gonzalez , S. Shankar Sastry , Claire Tomlin
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