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Related papers: Adaptive Optimal Trajectory Tracking Control Appli…

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We consider trajectory optimal control problems in which parameter uncertainty limits the applicability of control trajectories computed prior to travel. Hence, efficient trajectory adjustment is needed to ensure successful travel. However,…

Optimization and Control · Mathematics 2025-04-01 Riley Link , Ethan Ebbighausen

The solutions to many sequential decision-making problems are characterized by dynamic programming and Bellman's principle of optimality. However, due to the inherent complexity of solving Bellman's equation exactly, there has been…

Systems and Control · Electrical Eng. & Systems 2026-03-24 Bowen Li , Edwin K. P. Chong , Ali Pezeshki

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

Differential Dynamic Programming is an optimal control technique often used for trajectory generation. Many variations of this algorithm have been developed in the literature, including algorithms for stochastic dynamics or state and input…

Optimization and Control · Mathematics 2022-05-26 Dennis Gramlich , Carsten W. Scherer , Christian Ebenbauer

Scaled model experiments are commonly used in various engineering fields to reduce experimentation costs and overcome constraints associated with full-scale systems. The relevance of such experiments relies on dimensional analysis and the…

Systems and Control · Electrical Eng. & Systems 2025-12-10 Josip Kir Hromatko , Shambhuraj Sawant , Šandor Ileš , Sébastien Gros

In this paper we propose a hierarchical controller for autonomous racing where the same vehicle model is used in a two level optimization framework for motion planning. The high-level controller computes a trajectory that minimizes the lap…

Robotics · Computer Science 2020-03-12 José L. Vázquez , Marius Brühlmeier , Alexander Liniger , Alisa Rupenyan , John Lygeros

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

Systems and Control · Electrical Eng. & Systems 2024-09-23 Pin Wang , Tianyu Shi , Chonghao Zou , Long Xin , Ching-Yao Chan

This work addresses an extended class of optimal control problems where a target for a system state has the form of an ellipsoid rather than a fixed, single point. As a computationally affordable method for resolving the extended problem,…

Optimization and Control · Mathematics 2025-11-14 Sungjun Eom , Gyunghoon Park

This paper provides new stability results for Action-Dependent Heuristic Dynamic Programming (ADHDP), using a control algorithm that iteratively improves an internal model of the external world in the autonomous system based on its…

Neural and Evolutionary Computing · Computer Science 2015-07-29 Yury Sokolov , Robert Kozma , Ludmilla D. Werbos , Paul J. Werbos

For years, there has been interest in approximation methods for solving dynamic programming problems, because of the inherent complexity in computing optimal solutions characterized by Bellman's principle of optimality. A wide range of…

Optimization and Control · Mathematics 2020-06-18 Yajing Liu , Edwin Chong , Ali Pezeshki , Zhenliang Zhang

Learning-based control methods utilize run-time data from the underlying process to improve the controller performance under model mismatch and unmodeled disturbances. This is beneficial for optimizing industrial processes, where the…

Systems and Control · Electrical Eng. & Systems 2021-11-22 Efe C. Balta , Kira Barton , Dawn M. Tilbury , Alisa Rupenyan , John Lygeros

This thesis investigates optimal trajectory tracking of nonlinear dynamical systems with affine controls. The control task is to enforce the system state to follow a prescribed desired trajectory as closely as possible. The concept of…

Optimization and Control · Mathematics 2016-03-04 Jakob Löber

To improve safety and energy efficiency, autonomous vehicles are expected to drive smoothly in most situations, while maintaining their velocity below a predetermined speed limit. However, some scenarios such as low road adherence or…

Systems and Control · Computer Science 2017-04-05 Florent Altché , Philip Polack , Arnaud de la Fortelle

Connections between Deep Neural Networks (DNNs) training and optimal control theory has attracted considerable attention as a principled tool of algorithmic design. Differential Dynamic Programming (DDP) neural optimizer is a recently…

Machine Learning · Computer Science 2020-07-20 Guan-Horng Liu , Tianrong Chen , Evangelos A. Theodorou

This paper proposes a general incremental policy iteration adaptive dynamic programming (ADP) algorithm for model-free robust optimal control of unknown nonlinear systems. The approach integrates recursive least squares estimation with…

Optimization and Control · Mathematics 2025-09-01 Qingkai Meng , Fenglan Wang , Lin Zhao

This paper presents a constrained adaptive dynamic programming (CADP) algorithm to solve general nonlinear nonaffine optimal control problems with known dynamics. Unlike previous ADP algorithms, it can directly deal with problems with state…

Systems and Control · Electrical Eng. & Systems 2022-04-11 Jingliang Duan , Zhengyu Liu , Shengbo Eben Li , Qi Sun , Zhenzhong Jia , Bo Cheng

Soft robots can execute tasks with safer interactions. However, control techniques that can effectively exploit the systems' capabilities are still missing. Differential dynamic programming (DDP) has emerged as a promising tool for…

This paper presents an adaptive, model-based, nonlinear controller for the bicopter trajectory-tracking problem. The nonlinear controller is constructed by dynamically extending the bicopter model, stabilizing the extended dynamics using…

Dynamical Systems · Mathematics 2024-02-08 Jhon Manuel Portella Delgado , Ankit Goel

In this paper, we consider the problem of set-point tracking for a discrete-time plant with unknown plant parameters belonging to a convex and compact uncertainty set. We carry out parameter estimation for an associated auxiliary plant, and…

Systems and Control · Electrical Eng. & Systems 2025-08-19 Mohamad T. Shahab

Robotic systems must be able to quickly and robustly make decisions when operating in uncertain and dynamic environments. While Reinforcement Learning (RL) can be used to compute optimal policies with little prior knowledge about the…

Robotics · Computer Science 2016-09-13 Yunpeng Pan , Xinyan Yan , Evangelos Theodorou , Byron Boots