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Related papers: PID Optimization Using Lagrangian Mechanics

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One of the main issues of the satellite-to-ground optical communication, including free-space satellite quantum key distribution (QKD), is an achievement of the reasonable accuracy of positioning, navigation and optical stabilization.…

Instrumentation and Detectors · Physics 2025-03-14 A. Reutov , S. Vorobey , A. Katanskiy , V. Balakirev , R. Bakhshaliev , K. Barbyshev , V. Merzlinkin , V. Tekaev

Embedding parameterized optimization problems as layers into machine learning architectures serves as a powerful inductive bias. Training such architectures with stochastic gradient descent requires care, as degenerate derivatives of the…

Machine Learning · Computer Science 2024-12-16 Anselm Paulus , Georg Martius , Vít Musil

Proportional-integral-derivative (PID) controllers have been widely used in the process industry. However, the satisfactory control performance of a PID controller depends strongly on the tuning parameters. Conventional PID tuning methods…

Systems and Control · Electrical Eng. & Systems 2022-10-06 Myisha A. Chowdhury , Qiugang Lu

This paper investigates the control of nonlinear systems using a piecewise linear approximation framework. The proposed approach combines a PID controller with locally linearized models obtained by partitioning the nonlinear function into…

Optimization and Control · Mathematics 2026-04-14 Robert Vrabel

This paper addresses the optimal control problem known as the Linear Quadratic Regulator in the case when the dynamics are unknown. We propose a multi-stage procedure, called Coarse-ID control, that estimates a model from a few experimental…

Optimization and Control · Mathematics 2018-12-17 Sarah Dean , Horia Mania , Nikolai Matni , Benjamin Recht , Stephen Tu

We consider the problem of designing a feedback controller which robustly regulates an LTI system to an optimal operating point in the presence of unmeasured disturbances. A general design framework based on so-called optimality models was…

Optimization and Control · Mathematics 2022-08-18 John W. Simpson-Porco

The aim of this paper is to present a comprehensive range of design techniques for the synthesis of the standard compensators (Lead and Lag networks as well as PID controllers) that in the last twenty years have proved to be of great…

Systems and Control · Computer Science 2012-10-16 Lorenzo Ntogramatzidis , Roberto Zanasi , Stefania Cuoghi

Learning to make decisions from observed data in dynamic environments remains a problem of fundamental importance in a number of fields, from artificial intelligence and robotics, to medicine and finance. This paper concerns the problem of…

Machine Learning · Statistics 2018-06-04 Jack Umenberger , Thomas B. Schön

Control system optimization has long been a fundamental challenge in robotics. While recent advancements have led to the development of control algorithms that leverage learning-based approaches, such as SafeOpt, to optimize single feedback…

Robotics · Computer Science 2024-11-13 Lihao Zheng , Hongxuan Wang , Xiaocong Li , Jun Ma , Prahlad Vadakkepat

The proportional-integral-derivative (PID) controller and its variants are widely used in control engineering, but they often rely on linearization around equilibrium points and empirical parameter tuning, making them ineffective for…

Systems and Control · Electrical Eng. & Systems 2026-01-13 Zimao Sheng

Optimal and safety-critical control are fundamental problems for stochastic systems, and are widely considered in real-world scenarios such as robotic manipulation and autonomous driving. In this paper, we consider the problem of…

Systems and Control · Electrical Eng. & Systems 2024-05-10 Zhuoyuan Wang , Reece Keller , Xiyu Deng , Kenta Hoshino , Takashi Tanaka , Yorie Nakahira

With the development of autonomous driving technology, there are increasing demands for vehicle control, and MPC has become a widely researched topic in both industry and academia. Existing MPC control methods based on vehicle kinematics or…

Systems and Control · Electrical Eng. & Systems 2024-07-19 Jiarui Zhang , Aijing Kong , Yu Tang , Zhichao Lv , Lulu Guo , Peng Hang

The concept of controlling non-linear systems is one the significant fields in scientific researches for the purpose of which intelligent approaches can provide desirable applicability. Fuzzy systems are systems with ambiguous definition…

Systems and Control · Computer Science 2013-08-23 Qasem Abdollah Nezhad , Javad Palizvan Zand , Samira Shah Hoseini

Identifying accurate dynamic models is required for the simulation and control of various technical systems. In many important real-world applications, however, the two main modeling approaches often fail to meet requirements: first…

Machine Learning · Computer Science 2021-04-19 Manuel A. Roehrl , Thomas A. Runkler , Veronika Brandtstetter , Michel Tokic , Stefan Obermayer

Stable concurrent learning and control of dynamical systems is the subject of adaptive control. Despite being an established field with many practical applications and a rich theory, much of the development in adaptive control for nonlinear…

Optimization and Control · Mathematics 2023-10-03 Nicholas M. Boffi , Jean-Jacques E. Slotine

The optimal control of problems that are constrained by partial differential equations with uncertainties and with uncertain controls is addressed. The Lagrangian that defines the problem is postulated in terms of stochastic functions, with…

Optimization and Control · Mathematics 2012-11-19 Eveline Rosseel , Garth N. Wells

Traditional linear control strategies have been extensively researched and utilized in many robotic and industrial applications and yet they do not respond to the total dynamics of the systems. To avoid tedious calculations for nonlinear…

Robotics · Computer Science 2022-03-16 Kanishk . , Rushil Kumar , Vikas Rastogi , Ajeet Kumar

As we move to increasingly complex cyber-physical systems (CPS), new approaches are needed to plan efficient state trajectories in real-time. In this paper, we propose an approach to significantly reduce the complexity of solving optimal…

Robotics · Computer Science 2023-08-29 Logan E. Beaver , Andreas A. Malikopoulos

A reliable controller is critical and essential for the execution of safe and smooth maneuvers of an autonomous vehicle.The controller must be robust to external disturbances, such as road surface, weather, and wind conditions, and so on.It…

Robotics · Computer Science 2019-05-01 Tianyu Shi , Pin Wang , Ching-Yao Chan , Chonghao Zou

We propose an inexact proximal augmented Lagrangian method (P-ALM) for nonconvex structured optimization problems. The proposed method features an easily implementable rule not only for updating the penalty parameters, but also for…

Optimization and Control · Mathematics 2025-09-04 Adeyemi D. Adeoye , Puya Latafat , Alberto Bemporad
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