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The main purpose of the paper is to present some powerful data on the advantage of the rational approximation procedure based on Hermite-Pad\'e polynomials over the Pad\'e approximation procedure. The first part of the paper is devoted to…

Complex Variables · Mathematics 2023-12-08 Egor O. Dobrolyubov , Nikolay R. Ikonomov , Leonid A. Knizhnerman , Sergey P. Suetin

Since the classical proportional-integral-derivative (PID) controller has continued to be the most widely used feedback methods in engineering systems by far, it is crucial to investigate the working mechanism of PID in dealing with…

Optimization and Control · Mathematics 2025-12-03 Baoyou Qu , Cheng Zhao

In this paper, the problem of tracking desired longitudinal and lateral motions for a vehicle is addressed. Let us point out that a "good" modeling is often quite difficult or even impossible to obtain. It is due for example to parametric…

Systems and Control · Computer Science 2017-05-10 Lghani Menhour , Brigitte d'Andréa-Novel , Michel Fliess , Dominique Gruyer , Hugues Mounier

Machine learning algorithms enable advanced decision making in contemporary intelligent systems. Research indicates that there is a tradeoff between their model performance and explainability. Machine learning models with higher performance…

Machine Learning · Computer Science 2022-06-23 Lukas-Valentin Herm , Kai Heinrich , Jonas Wanner , Christian Janiesch

Traditionally, prediction and planning in autonomous driving (AD) have been treated as separate, sequential modules. Recently, there has been a growing shift towards tighter integration of these components, known as Integrated Prediction…

In this paper, modification of the classical PID controller and development of open-loop control mechanisms to improve stability and robustness of a differential wheeled robot are discussed. To deploy the algorithm, a test platform has been…

Robotics · Computer Science 2021-11-09 Samet Oguten , Bilal Kabas

This paper presents an overview of the most effective ideas for the Quad-rotor project. The concept of modeling using different methods is presented. The modeling part presented the nonlinear model, and the concept of linearization using…

Robotics · Computer Science 2017-07-18 Tarek N. Dief , Shigeo Yoshida

There is a widespread intuition that model-based control methods should be able to surpass the data efficiency of model-free approaches. In this paper we attempt to evaluate this intuition on various challenging locomotion tasks. We take a…

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

Use of Control theory within process control industries has changed rapidly due to the increase complexity of instrumentation, real time requirements, minimization of operating costs and highly nonlinear characteristics of chemical process.…

Systems and Control · Computer Science 2013-05-14 Oumair Naseer , Atif Ali Khan

The problem of measuring conditional dependence between two random phenomena arises when a third one (a confounder) has a potential influence on the amount of information between them. A typical issue in this challenging problem is the…

Machine Learning · Statistics 2025-03-12 Ferran de Cabrera , Marc Vilà-Insa , Jaume Riba

Resonant controllers are widely used in applications involving reference tracking and disturbance rejection of periodic signals. The controller design is typically performed by a trial-and-error approach or by means of time and…

Systems and Control · Electrical Eng. & Systems 2020-07-07 Charles Lorenzini , Luís Fernando Alves Pereira , Alexandre Sanfelice Bazanella , Gustavo R. Gonçalves da Silva

In this paper, we introduce a new class of parameterized controllers, drawing inspiration from Model Predictive Control (MPC). The controller resembles a Quadratic Programming (QP) solver of a linear MPC problem, with the parameters of the…

Systems and Control · Electrical Eng. & Systems 2024-04-10 Yiwen Lu , Zishuo Li , Yihan Zhou , Na Li , Yilin Mo

There have been numerous attempts in explaining the general learning behaviours using model-based and model-free methods. While the model-based control is flexible yet computationally expensive in planning, the model-free control is quick…

Machine Learning · Computer Science 2019-12-12 Krishn Bera , Yash Mandilwar , Bapi Raju

Deep reinforcement learning (RL) has shown immense potential for learning to control systems through data alone. However, one challenge deep RL faces is that the full state of the system is often not observable. When this is the case, the…

Machine Learning · Computer Science 2023-10-27 Ian Char , Jeff Schneider

We develop an indirect-adaptive model predictive control algorithm for uncertain linear systems subject to constraints. The system is modeled as a polytopic linear parameter varying system where the convex combination vector is constant but…

Systems and Control · Computer Science 2015-09-25 Stefano Di Cairano

This paper studies the performance of a model-free LQR based PID (i-LQR-PID) controller designed for tracking control problem of a 2-DoF laboratory helicopter. The control problem addressed in 2-DoF helicopter system aims to track the…

Systems and Control · Electrical Eng. & Systems 2021-03-23 Nouha Rouis , Ibrahima N'Doye , Taous-Meriem Laleg-Kirati

We study several controllability properties for some semilinear parabolic PDE with a quadratic gradient term. For internal distributed controls, it is shown that the system is approximately and null controllable. The proof relies on the…

Optimization and Control · Mathematics 2012-02-06 Luis A. Fernández

The paper concerns design of control systems for Demand Dispatch to obtain ancillary services to the power grid by harnessing inherent flexibility in many loads. The role of "local intelligence" at the load has been advocated in prior work,…

Optimization and Control · Mathematics 2016-03-21 Ana Bušić , Sean Meyn

Large Language Models employing extended chain-of-thought (CoT) reasoning often suffer from the overthinking phenomenon, generating excessive and redundant reasoning steps that increase computational costs while potentially degrading…

Computation and Language · Computer Science 2026-04-14 Aryasomayajula Ram Bharadwaj