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In this paper the infinite horizon optimal regulation problem is solved online for a deterministic control-affine nonlinear dynamical system using the state following (StaF) kernel method to approximate the value function. Unlike…

系统与控制 · 计算机科学 2017-07-25 Rushikesh Kamalapurkar , Joel A. Rosenfeld , Warren E. Dixon

Approximate dynamic programming has been investigated and used as a method to approximately solve optimal regulation problems. However, the extension of this technique to optimal tracking problems for continuous time nonlinear systems has…

系统与控制 · 计算机科学 2017-07-25 Rushikesh Kamalapurkar , Huyen Dinh , Shubhendu Bhasin , Warren Dixon

The design of an automated vehicle controller can be generally formulated into an optimal control problem. This paper proposes a continuous-time finite-horizon approximate dynamicprogramming (ADP) method, which can synthesis off-line…

系统与控制 · 电气工程与系统科学 2020-07-07 Ziyu Lin , Jingliang Duan , Shengbo Eben Li , Haitong Ma , Yuming Yin

We propose a Model Predictive Control (MPC) with a single-step prediction horizon to approximate the solution of infinite horizon optimal control problems with the expected sum of convex stage costs for constrained linear uncertain systems.…

最优化与控制 · 数学 2025-04-24 Eunhyek Joa , Francesco Borrelli

Predictive control is frequently used for control problems involving constraints. Being an optimization based technique utilizing a user specified so-called stage cost, performance properties, i.e., bounds on the infinite horizon…

系统与控制 · 电气工程与系统科学 2022-09-09 Lukas Beckenbach , Stefan Streif

Model Predictive Control has emerged as a popular tool for robots to generate complex motions. However, the real-time requirement has limited the use of hard constraints and large preview horizons, which are necessary to ensure safety and…

A self-learning approach for optimal feedback gains for finite-horizon nonlinear continuous time control systems is proposed and analysed. It relies on parameter dependent approximations to the optimal value function obtained from a family…

最优化与控制 · 数学 2023-02-28 Karl Kunisch , Daniel Walter

Online approximation of the optimal station keeping strategy for a fully actuated six degrees-of-freedom marine craft subject to an irrotational ocean current is considered. An approximate solution to the optimal control problem is obtained…

系统与控制 · 计算机科学 2021-07-07 Patrick Walters , Rushikesh Kamalapurkar , Forrest Voight , Eric M. Schwartz , Warren E. Dixon

Online approximation of an optimal station keeping strategy for a fully actuated six degrees-of-freedom autonomous underwater vehicle is considered. The developed controller is an approximation of the solution to a two player zero-sum game…

系统与控制 · 计算机科学 2014-04-02 Patrick Walters , Warren E. Dixon

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…

机器人学 · 计算机科学 2023-05-16 Chinmay Vilas Samak , Tanmay Vilas Samak , Sivanathan Kandhasamy

This paper presents a data-driven method to find a closed-loop optimal controller, which minimizes a specified infinite-horizon cost function for systems with unknown dynamics. Suppose the closed-loop optimal controller can be parameterized…

机器学习 · 计算机科学 2025-11-20 Wenjian Hao , Paulo C. Heredia , Shaoshuai Mou

Unmanned systems (USs) including unmanned aerial vehicles, unmanned underwater vehicles, and unmanned ground vehicles have great application prospects in military and civil fields, among which the process of finding feasible and optimal…

系统与控制 · 电气工程与系统科学 2022-06-06 Chao Ge , Ge Chen

In this article, we address the control problem of unicycle path following, using a rigidly attached target point. The initial path following problem has been transformed into a reference trajectory following problem, using saturated…

最优化与控制 · 数学 2013-03-22 S. Laghrouche , Y. Chitour , M. Harmouche , F. S. Ahmed

We present an algorithm, based on the Differential Dynamic Programming framework, to handle trajectory optimization problems in which the horizon is determined online rather than fixed a priori. This algorithm exhibits exact one-step…

机器人学 · 计算机科学 2021-11-18 Kyle Stachowicz , Evangelos A. Theodorou

Navigating a collision-free and optimal trajectory for a robot is a challenging task, particularly in environments with moving obstacles such as humans. We formulate this problem as a stochastic optimal control problem. Since solving the…

系统与控制 · 电气工程与系统科学 2026-03-17 Seyyed Reza Jafari , Anders Hansson , Bo Wahlberg

Adaptive dynamic programming is a collective term for a variety of approaches to infinite-horizon optimal control. Common to all approaches is approximation of the infinite-horizon cost function based on dynamic programming philosophy.…

最优化与控制 · 数学 2020-07-09 Pavel Osinenko , Thomas Göhrt , Grigory Devadze , Stefan Streif

The optimal tracking problem is addressed in the robotics literature by using a variety of robust and adaptive control approaches. However, these schemes are associated with implementation limitations such as applicability in uncertain…

系统与控制 · 电气工程与系统科学 2020-11-10 Mohammed Abouheaf , Wail Gueaieb , Davide Spinello

In recent papers it has been suggested that human locomotion may be modeled as an inverse optimal control problem. In this paradigm, the trajectories are assumed to be solutions of an optimal control problem that has to be determined. We…

最优化与控制 · 数学 2010-07-26 Yacine Chitour , Frédéric Jean , Paolo Mason

Safely integrating unmanned aerial vehicles into civil airspace is contingent upon development of a trustworthy collision avoidance system. This paper proposes an approach whereby a parameterized resolution logic that is considered trusted…

机器人学 · 计算机科学 2016-02-22 Zachary N. Sunberg , Mykel J. Kochenderfer , Marco Pavone

Model predictive control allows solving complex control tasks with control and state constraints. However, an optimal control problem must be solved in real-time to predict the future system behavior, which is hardly possible on embedded…

系统与控制 · 电气工程与系统科学 2023-04-13 Jan Olucak , Walter Fichter , Torbjørn Cunis
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