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A generalized ResNet architecture for adaptive control of nonlinear systems with black box uncertainties is developed. The approach overcomes limitations in existing methods by incorporating pre-activation shortcut connections and a zeroth…

Systems and Control · Electrical Eng. & Systems 2025-06-02 Cristian F. Nino , Omkar Sudhir Patil , Jordan C. Insinger , Marla R. Eisman , Warren E. Dixon

Thermodynamic principles can be employed to design parameter update laws that address challenges such as the exploration vs. exploitation dilemma. In this paper, inspired by the Langevin equation, an update law is developed for a…

Systems and Control · Electrical Eng. & Systems 2025-08-22 Saiedeh Akbari , Omkar Sudhir Patil , Warren E. Dixon

This paper presents a novel Lyapunov-based Adaptive Transformer (LyAT) controller for stochastic nonlinear systems. While transformers have shown promise in various control applications due to sequential modeling through self-attention…

Systems and Control · Electrical Eng. & Systems 2025-12-19 Saiedeh Akbari , Xuehui Shen , Wenqian Xue , Jordan C. Insinger , Warren E. Dixon

Graph neural networks (GNNs) have a message-passing framework in which vector messages are exchanged between graph nodes and updated using feedforward layers. The inclusion of distributed message-passing in the GNN architecture makes them…

Systems and Control · Electrical Eng. & Systems 2025-03-20 Brandon C. Fallin , Cristian F. Nino , Omkar Sudhir Patil , Zachary I. Bell , Warren E. Dixon

This paper proposes an adaptive neural network-based backstepping controller that uses rigid graph theory to address the distance-based formation control problem and target tracking for nonlinear multi-agent systems with bounded time-delay…

Systems and Control · Electrical Eng. & Systems 2020-10-13 Kiarash Aryankia , Rastko R. Selmic

While ensuring stability for linear systems is well understood, it remains a major challenge for nonlinear systems. A general approach in such cases is to compute a combination of a Lyapunov function and an associated control policy.…

Machine Learning · Computer Science 2023-12-27 Junlin Wu , Andrew Clark , Yiannis Kantaros , Yevgeniy Vorobeychik

This paper deals with the tracking control problem for a class of unknown pure feedback system with pure state constraints on the state variables and unknown time-varying bounded disturbances. An adaptive controller is presented for such…

Systems and Control · Electrical Eng. & Systems 2022-10-11 Pankaj Kumar Mishra , Nishchal K Verma

Adaptive control is subject to stability and performance issues when a learned model is used to enhance its performance. This paper thus presents a deep learning-based adaptive control framework for nonlinear systems with…

Machine Learning · Computer Science 2021-10-05 Hiroyasu Tsukamoto , Soon-Jo Chung , Jean-Jacques Slotine

We present a new method for learning control law that stabilizes an unknown nonlinear dynamical system at an equilibrium point. We formulate a system identification task in a self-supervised learning setting that jointly learns a controller…

Systems and Control · Electrical Eng. & Systems 2022-03-17 Priyabrata Saha , Magnus Egerstedt , Saibal Mukhopadhyay

Recent advancements in Lyapunov-based Deep Neural Networks (Lb-DNNs) have demonstrated improved performance over shallow NNs and traditional adaptive control for nonlinear systems with uncertain dynamics. Existing Lb-DNNs rely on…

Systems and Control · Electrical Eng. & Systems 2025-12-29 Xuehui Shen , Wenqian Xue , Yixuan Wang , Warren E. Dixon

Control of a dynamical system without the knowledge of dynamics is an important and challenging task. Modern machine learning approaches, such as deep neural networks (DNNs), allow for the estimation of a dynamics model from control inputs…

Systems and Control · Electrical Eng. & Systems 2023-11-14 Suruchi Sharma , Volodymyr Makarenko , Gautam Kumar , Stas Tiomkin

This paper introduces deep neural networks (DNNs) as add-on blocks to baseline feedback control systems to enhance tracking performance of arbitrary desired trajectories. The DNNs are trained to adapt the reference signals to the feedback…

Robotics · Computer Science 2017-10-09 Siqi Zhou , Mohamed K. Helwa , Angela P. Schoellig

Trajectory tracking control for quadrotors is important for applications ranging from surveying and inspection, to film making. However, designing and tuning classical controllers, such as proportional-integral-derivative (PID) controllers,…

Robotics · Computer Science 2017-07-21 Qiyang Li , Jingxing Qian , Zining Zhu , Xuchan Bao , Mohamed K. Helwa , Angela P. Schoellig

The inherent approximation ability of neural networks plays an essential role in adaptive neural control, where the prerequisite for existence of the compact set is crucial in the control designs. Instead of using practical system state, in…

Systems and Control · Electrical Eng. & Systems 2025-05-01 Mingxuan Sun , Shengxiang Zou

Due to the enormous technological improvements obtained in the last decades it is possible to use robotic vehicles for underwater exploration. This work describes the development of a dynamic positioning system for remotely operated…

This paper considers the stabilization of unknown switched linear systems using data. Instead of a full system model, we have access to a finite number of trajectories of each of the different modes prior to the online operation of the…

Optimization and Control · Mathematics 2024-07-29 Jaap Eising , Shenyu Liu , Sonia Martinez , Jorge Cortes

Adaptive methods are popular within the control literature due to the flexibility and forgiveness they offer in the area of modelling. Neural network adaptive control is favorable specifically for the powerful nature of the machine learning…

Systems and Control · Electrical Eng. & Systems 2021-07-23 Nathan Lutes , K. Krishnamurthy , Venkata Sriram Siddhardh Nadendla , S. N. Balakrishnan

Underwater Unmanned Vehicles (UUVs) have to constantly compensate for the external disturbing forces acting on their body. Adaptive Control theory is commonly used there to grant the control law some flexibility in its response to process…

Systems and Control · Electrical Eng. & Systems 2024-04-19 Hector Kohler , Benoit Clement , Thomas Chaffre , Gilles Le Chenadec

Recent literature in the field of machine learning (ML) control has shown promising theoretical results for a Deep Neural Network (DNN) based Nonlinear Adaptive Controller (DNAC) capable of achieving trajectory tracking for nonlinear…

Systems and Control · Electrical Eng. & Systems 2023-10-17 Zachary Lamb , Zachary I. Bell , Matthew Longmire , Jared Paquet , Prashant Ganesh , Ricardo Sanfelice

The unmanned aerial manipulator system, consisting of a multirotor UAV (unmanned aerial vehicle) and a manipulator, has attracted considerable interest from researchers. Nevertheless, the operation of a dual-arm manipulator poses a dynamic…

Robotics · Computer Science 2025-04-09 Yang Wang , Hai Yu , Shizhen Wu , Zhichao Yang , Jianda Han , Yongchun Fang , Xiao Liang