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Model predictive controllers use dynamics models to solve constrained optimal control problems. However, computational requirements for real-time control have limited their use to systems with low-dimensional models. Nevertheless,…

Systems and Control · Electrical Eng. & Systems 2024-10-30 Joseph Lorenzetti , Andrew McClellan , Charbel Farhat , Marco Pavone

This work presents proximally optimal predictive control algorithm, which is essentially a model-based lateral controller for steered autonomous vehicles that selects an optimal steering command within the neighborhood of previous steering…

Robotics · Computer Science 2023-05-16 Chinmay Vilas Samak , Tanmay Vilas Samak , Sivanathan Kandhasamy

In this paper, we explore the interplay between Predictive Control and closed-loop optimality, spanning from Model Predictive Control to Data-Driven Predictive Control. Predictive Control in general relies on some form of prediction scheme…

Optimization and Control · Mathematics 2024-05-29 Akhil S Anand , Shambhuraj Sawant , Dirk Reinhardt , Sebastien Gros

While supervised learning is widely used for perception modules in conventional autonomous driving solutions, scalability is hindered by the huge amount of data labeling needed. In contrast, while end-to-end architectures do not require…

Computer Vision and Pattern Recognition · Computer Science 2021-03-31 Elmira Amirloo , Mohsen Rohani , Ershad Banijamali , Jun Luo , Pascal Poupart

We systematically review the Variational Optimization, Variational Inference and Stochastic Search perspectives on sampling-based dynamic optimization and discuss their connections to state-of-the-art optimizers and Stochastic Optimal…

Optimization and Control · Mathematics 2022-11-23 Ziyi Wang , Augustinos D. Saravanos , Hassan Almubarak , Oswin So , Evangelos A. Theodorou

Modeling how a robot interacts with the environment around it is an important prerequisite for designing control and planning algorithms. In fact, the performance of controllers and planners is highly dependent on the quality of the model.…

Machine Learning · Computer Science 2020-03-03 Clark Zhang , Arbaaz Khan , Santiago Paternain , Alejandro Ribeiro

Model Predictive Control (MPC) has exhibited remarkable capabilities in optimizing objectives and meeting constraints. However, the substantial computational burden associated with solving the Optimal Control Problem (OCP) at each…

Robotics · Computer Science 2024-05-09 Yu Luo , Qie Sima , Tianying Ji , Fuchun Sun , Huaping Liu , Jianwei Zhang

Most recent advances in machine learning and analytics for process control pose the question of how to naturally integrate new data-driven methods with classical process models and control. We propose a process modeling framework enabling…

Neural and Evolutionary Computing · Computer Science 2025-08-08 Michael R. Wartmann , B. Erik Ydstie

The links between optimal control of dynamical systems and neural networks have proved beneficial both from a theoretical and from a practical point of view. Several researchers have exploited these links to investigate the stability of…

Optimization and Control · Mathematics 2019-02-08 Panos Parpas , Corey Muir

This paper presents a novel, safe control architecture (SCA) for controlling an important class of systems: safety-critical systems. Ensuring the safety of control decisions has always been a challenge in automatic control. The proposed SCA…

Systems and Control · Electrical Eng. & Systems 2022-02-01 Maryam Nezami , Georg Maennel , Hossam Seddik Abbas , Georg Schildbach

This article proposes an improved trajectory optimization approach for stochastic optimal control of dynamical systems affected by measurement noise by combining optimal control with maximum likelihood techniques to improve the reduction of…

Systems and Control · Electrical Eng. & Systems 2023-12-25 Prakash Mallick , Zhiyong Chen

We present a sequential distributed model predictive control (MPC) scheme for cooperative control of multi-agent systems with dynamically decoupled heterogeneous nonlinear agents subject to individual constraints. In the scheme, we explore…

Systems and Control · Electrical Eng. & Systems 2024-06-13 Matthias Köhler , Matthias A. Müller , Frank Allgöwer

This work presents an explicit-implicit procedure to compute a model predictive control (MPC) law with guarantees on recursive feasibility and asymptotic stability. The approach combines an offline-trained fully-connected neural network…

Machine Learning · Computer Science 2021-07-07 Steven W. Chen , Tianyu Wang , Nikolay Atanasov , Vijay Kumar , Manfred Morari

Recent research shows that supervised learning can be an effective tool for designing near-optimal feedback controllers for high-dimensional nonlinear dynamic systems. But the behavior of neural network controllers is still not well…

Optimization and Control · Mathematics 2022-10-10 Tenavi Nakamura-Zimmerer , Qi Gong , Wei Kang

In contemporary control theory, self-adaptive methodologies are highly esteemed for their inherent flexibility and robustness in managing modeling uncertainties. Particularly, robust adaptive control stands out owing to its potent…

Robotics · Computer Science 2024-07-19 Ye Zhang , Kangtong Mo , Fangzhou Shen , Xuanzhen Xu , Xingyu Zhang , Jiayue Yu , Chang Yu

Model Predictive Control (MPC) can efficiently control constrained systems in real-time applications. MPC feedback law for a linear system with linear inequality constraints can be explicitly computed off-line, which results in an off-line…

Systems and Control · Computer Science 2016-06-13 Andrew Knyazev , Peizhen Zhu , Stefano Di Cairano

Dual control explicitly addresses the problem of trading off active exploration and exploitation in the optimal control of partially unknown systems. While the problem can be cast in the framework of stochastic dynamic programming, exact…

Systems and Control · Electrical Eng. & Systems 2019-11-12 Elena Arcari , Lukas Hewing , Melanie N. Zeilinger

Trajectory optimization is a fundamental stochastic optimal control problem. This paper deals with a trajectory optimization approach for dynamical systems subject to measurement noise that can be fitted into linear time-varying stochastic…

Systems and Control · Electrical Eng. & Systems 2021-08-24 Prakash Mallick , Zhiyong Chen

Viewing stochastic processes through the lens of occupation measures has proved to be a powerful angle of attack for the theoretical and computational analysis of stochastic optimal control problems. We present a simple modification of the…

Optimization and Control · Mathematics 2025-01-20 Flemming Holtorf , Alan Edelman , Christopher Rackauckas

This paper demonstrates many immediate connections between adaptive control and optimization methods commonly employed in machine learning. Starting from common output error formulations, similarities in update law modifications are…

Optimization and Control · Mathematics 2020-04-17 Joseph E. Gaudio , Travis E. Gibson , Anuradha M. Annaswamy , Michael A. Bolender , Eugene Lavretsky