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This article proposes a data-driven PID controller design based on the principle of adaptive gain optimization, leveraging Physics-Informed Neural Networks (PINNs) generated for predictive modeling purposes. The proposed control design…

Systems and Control · Electrical Eng. & Systems 2025-10-09 Junsei Ito , Yasuaki Wasa

Operator learning has become a powerful tool in machine learning for modeling complex physical systems governed by partial differential equations (PDEs). Although Deep Operator Networks (DeepONet) show promise, they require extensive data…

Machine Learning · Computer Science 2024-12-09 Xinling Yu , Sean Hooten , Ziyue Liu , Yequan Zhao , Marco Fiorentino , Thomas Van Vaerenbergh , Zheng Zhang

The problem of optimal motion planing and control is fundamental in robotics. However, this problem is intractable for continuous-time stochastic systems in general and the solution is difficult to approximate if non-instantaneous nonlinear…

Robotics · Computer Science 2017-02-28 Mustafa Mukadam , Ching-An Cheng , Xinyan Yan , Byron Boots

In this paper, we introduce a novel architecture to connecting adaptive learning and neural networks into an arbitrary machine's control system paradigm. Two consecutive Recurrent Neural Networks (RNNs) are used together to accurately model…

Machine Learning · Computer Science 2020-02-26 Srikanth Chandar , Harsha Sunder

Real-world control systems require policies that are not only high-performing but also interpretable and robust. A promising direction toward this goal is model-based control, which learns system dynamics and cost functions from historical…

Systems and Control · Electrical Eng. & Systems 2025-11-20 Yuexin Bian , Jie Feng , Yuanyuan Shi

The concept of positively invariant (PI) sets has proven effective in the formal verification of stability and safety properties for autonomous systems. However, the characterization of such sets is challenging for nonlinear systems in…

Systems and Control · Electrical Eng. & Systems 2026-04-06 Huu-Thinh Do , Ionela Prodan

Controlling continuous-time dynamical systems is generally a two step process: first, identify or model the system dynamics with differential equations, then, minimize the control objectives to achieve optimal control function and optimal…

Artificial Intelligence · Computer Science 2024-04-23 Cheng Chi

Compressive sensing (CS) has been widely applied in signal and image processing fields. Traditional CS reconstruction algorithms have a complete theoretical foundation but suffer from the high computational complexity, while fashionable…

Signal Processing · Electrical Eng. & Systems 2025-05-06 Xiumei Li , Zhijie Zhang , Huang Bai , Ljubiša Stanković , Junpeng Hao , Junmei Sun

We present foundations for using Model Predictive Control (MPC) as a differentiable policy class for reinforcement learning in continuous state and action spaces. This provides one way of leveraging and combining the advantages of…

Machine Learning · Computer Science 2019-10-15 Brandon Amos , Ivan Dario Jimenez Rodriguez , Jacob Sacks , Byron Boots , J. Zico Kolter

In this article, we discuss two algorithms tailored to discrete-time deterministic finite-horizon nonlinear optimal control problems or so-called deterministic trajectory optimization problems. Both algorithms can be derived from an…

Optimization and Control · Mathematics 2024-12-10 Mohammad Mahmoudi Filabadi , Tom Lefebvre , Guillaume Crevecoeur

Deep learning approaches, known for their ability to model complex relationships and fast execution, are increasingly being applied to solve large optimization problems. However, existing methods often face challenges in simultaneously…

Optimization and Control · Mathematics 2025-12-16 Zisheng Zhou , Dengyu Zheng , Zirui Chen , Shixiang Chen

For safe and efficient planning and control in autonomous driving, we need a driving policy which can achieve desirable driving quality in long-term horizon with guaranteed safety and feasibility. Optimization-based approaches, such as…

Artificial Intelligence · Computer Science 2017-07-11 Liting Sun , Cheng Peng , Wei Zhan , Masayoshi Tomizuka

In this work, we propose an end-to-end graph network that learns forward and inverse models of particle-based physics using interpretable inductive biases. Physics-informed neural networks are often engineered to solve specific problems…

Machine Learning · Computer Science 2022-02-01 Sakthi Kumar Arul Prakash , Conrad Tucker

Imagine experiencing a crash as the passenger of an autonomous vehicle. Wouldn't you want to know why it happened? Current end-to-end optimizable deep neural networks (DNNs) in 3D detection, multi-object tracking, and motion forecasting…

Computer Vision and Pattern Recognition · Computer Science 2022-10-05 Benjamin Thérien , Krzysztof Czarnecki

In this paper, we present a novel end-to-end deep neural network model for autonomous driving that takes monocular image sequence as input, and directly generates the steering control angle. Firstly, we model the end-to-end driving problem…

Robotics · Computer Science 2021-03-11 Peng Wan , Zhenbo Song , Jianfeng Lu

Despite the central role of optimization in deep learning, most optimizers rely on update structures whose functional form is fixed before training begins. This static design can limit their ability to respond to changing gradient behavior…

Machine Learning · Computer Science 2026-05-26 Sattam Altuuaim , Lama Ayash , Muhammad Mubashar , Naeemullah Khan

Autonomous driving presents many challenges due to the large number of scenarios the autonomous vehicle (AV) may encounter. End-to-end deep learning models are comparatively simplistic models that can handle a broad set of scenarios.…

Computer Vision and Pattern Recognition · Computer Science 2023-06-16 Zhongying CuiZhu , Francois Charette , Amin Ghafourian , Debo Shi , Matthew Cui , Anjali Krishnamachar , Iman Soltani

For artificial general intelligence (AGI) it would be efficient if multiple users trained the same giant neural network, permitting parameter reuse, without catastrophic forgetting. PathNet is a first step in this direction. It is a neural…

Neural and Evolutionary Computing · Computer Science 2017-01-31 Chrisantha Fernando , Dylan Banarse , Charles Blundell , Yori Zwols , David Ha , Andrei A. Rusu , Alexander Pritzel , Daan Wierstra

There has been a recent focus in reinforcement learning on addressing continuous state and action problems by optimizing parameterized policies. PI2 is a recent example of this approach. It combines a derivation from first principles of…

Machine Learning · Computer Science 2012-06-22 Freek Stulp , Olivier Sigaud

Model Predictive Path Integral (MPPI) control has proven to be a powerful tool for the control of uncertain systems (such as systems subject to disturbances and systems with unmodeled dynamics). One important limitation of the baseline MPPI…

Systems and Control · Electrical Eng. & Systems 2024-03-28 Steven Patrick , Efstathios Bakolas