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Training neural networks to satisfy universal constraints over continuous domains poses unique challenges. Common examples include Lyapunov Neural Networks (Lyapunov NNs) and Physics-Informed Neural Networks (PINNs), where analytical…

Machine Learning · Computer Science 2026-05-12 Siteng Kang , Xinhua Zhang

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

This paper proposes a new adaptation methodology to find the control inputs for a class of nonlinear systems with time-varying bounded uncertainties. The proposed method does not require any prior knowledge of the uncertainties including…

Optimization and Control · Mathematics 2018-03-16 Yi-Wen Liao , Selina Pan , Francesco Borrelli , J. Karl Hedrick

This paper is concerned with the design of a distributed cooperative synchronization controller for a class of higher-order nonlinear multi-agent systems. The objective is to achieve synchronization and satisfy a predefined time-based…

Optimization and Control · Mathematics 2022-02-28 Hashim A. Hashim , Sami El-Ferik , Frank L. Lewis

Although deep neural network (DNN)-based controllers are popularly used to control uncertain nonlinear dynamic systems, most results use DNNs that are pretrained offline and the corresponding controller is implemented post-training. Recent…

Systems and Control · Electrical Eng. & Systems 2026-05-25 Omkar Sudhir Patil , Emily J. Griffis , Wanjiku A. Makumi , Warren E. Dixon

Adaptive control architectures often make use of Lyapunov functions to design adaptive laws. We are specifically interested in adaptive control methods, such as the well-known L1 adaptive architecture, which employ a parameter observer for…

Systems and Control · Electrical Eng. & Systems 2021-04-23 Aditya A. Paranjape , Vivek Natarajan , Supratim Ghosh

We present the stability analysis for the new regulation-triggered approach to adaptive control introduced in a companion paper. Due to the fact that the closed-loop system is hybrid, our proofs have essential differences from the…

Optimization and Control · Mathematics 2016-09-13 Iasson Karafyllis , Miroslav Krstic

Firstly, a new state feedback model reference adaptive control approach is developed for uncertain systems with gain scheduled reference models in a multi-input multi-output (MIMO) setting. Specifically, adaptive state feedback for output…

Optimization and Control · Mathematics 2014-03-18 Mehrdad Pakmehr , Tansel Yucelen

Real-world control applications in complex and uncertain environments require adaptability to handle model uncertainties and robustness against disturbances. This paper presents an online, output-feedback, critic-only, model-based…

Systems and Control · Electrical Eng. & Systems 2023-04-04 Tochukwu Elijah Ogri , S. M. Nahid Mahmud , Zachary I. Bell , Rushikesh Kamalapurkar

Solving optimal control problems to determine a stabilizing controller involves a significant computational effort. Time-varying optimal control provides a remedy by designing a tracking system, given as an ordinary differential equation,…

Systems and Control · Electrical Eng. & Systems 2026-04-16 Patrick Schmidt , Stefan Streif

Deep learning has had a far reaching impact in robotics. Specifically, deep reinforcement learning algorithms have been highly effective in synthesizing neural-network controllers for a wide range of tasks. However, despite this empirical…

Robotics · Computer Science 2021-09-30 Hongkai Dai , Benoit Landry , Lujie Yang , Marco Pavone , Russ Tedrake

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

We develop a learning-based algorithm for the control of autonomous systems governed by unknown, nonlinear dynamics to satisfy user-specified spatio-temporal tasks expressed as signal temporal logic specifications. Most existing algorithms…

Robotics · Computer Science 2021-10-12 Christos K. Verginis , Zhe Xu , Ufuk Topcu

Driven by the flexible manufacturing trend in the process control industry and the uncertain nature of chemical process models, this article aims to achieve offset-free tracking for a family of uncertain nonlinear systems (e.g., using…

Systems and Control · Electrical Eng. & Systems 2022-05-10 Lai Wei , Ryan McCloy , Jie Bao

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

In this paper, we present a control framework for a general class of control-affine nonlinear systems under spatiotemporal and input constraints. Specifically, the proposed control architecture addresses the problem of reaching a given…

Systems and Control · Computer Science 2021-06-11 Kunal Garg , Ehsan Arabi , Dimitra Panagou

Real-world control applications in complex and uncertain environments require adaptability to handle model uncertainties and robustness against disturbances. This paper presents an online, output-feedback, critic-only, model-based…

Systems and Control · Electrical Eng. & Systems 2023-04-25 Tochukwu Elijah Ogri , Zachary I. Bell , Rushikesh Kamalapurkar

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

This paper presents a -- Learning from Demonstration -- method to perform robot movement trajectories that can be defined as you go. This way unstructured tasks can be performed, without the need to know exactly all the tasks and start and…

Robotics · Computer Science 2020-10-16 Luis Trucios , Mahdi Tavakoli , Kim Adams

This paper studies the problem of real-time fault recovery control for nonlinear control-affine systems subject to actuator loss of effectiveness faults and external disturbances. We derive a two-stage framework that combines causal…

Systems and Control · Electrical Eng. & Systems 2025-12-23 Mahdi Taheri , Soon-Jo Chung , Fred Y. Hadaegh