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Related papers: The Adaptive Dynamic Programming Toolbox

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In this paper, near optimal tracking of a class of nonlinear systems is addressed. Adaptive (approximate) dynamic programming approach is used to calculate the optimal control in closed form. ADP (Adaptive (approximate) dynamic programming)…

Optimization and Control · Mathematics 2021-09-22 Farshid Asadi , Ali Heydari

This paper studies the robust optimal control design for uncertain nonlinear systems from a perspective of robust adaptive dynamic programming (robust-ADP). The objective is to fill up a gap in the past literature of ADP where dynamic…

Dynamical Systems · Mathematics 2013-03-12 Yu Jiang , Zhong-Ping Jiang

In this paper, a novel adaptive optimal control strategy is proposed to achieve the cooperative optimal output regulation of continuous-time linear multi-agent systems based on adaptive dynamic programming (ADP). The proposed method is…

Systems and Control · Electrical Eng. & Systems 2023-01-18 Omar Qasem , Khalid Jebari , Weinan Gao

While many theoretical works concerning Adaptive Dynamic Programming (ADP) have been proposed, application results are scarce. Therefore, we design an ADP-based optimal trajectory tracking controller and apply it to a large-scale…

Systems and Control · Electrical Eng. & Systems 2021-01-26 Florian Köpf , Sean Kille , Jairo Inga , Sören Hohmann

This paper presents a novel method of global adaptive dynamic programming (ADP) for the adaptive optimal control of nonlinear polynomial systems. The strategy consists of relaxing the problem of solving the Hamilton-Jacobi-Bellman (HJB)…

Dynamical Systems · Mathematics 2017-01-11 Yu Jiang , Zhong-Ping Jiang

Reinforcement learning based adaptive/approximate dynamic programming (ADP) is a powerful technique to determine an approximate optimal controller for a dynamical system. These methods bypass the need to analytically solve the nonlinear…

Optimization and Control · Mathematics 2018-05-24 Xuefeng Bao , Zhi-Hong Mao , Nitin Sharma

In order to autonomously learn to control unknown systems optimally w.r.t. an objective function, Adaptive Dynamic Programming (ADP) is well-suited to adapt controllers based on experience from interaction with the system. In recent years,…

Systems and Control · Electrical Eng. & Systems 2020-02-18 Florian Köpf , Simon Ramsteiner , Michael Flad , Sören Hohmann

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

This paper describes an online off-policy data-driven reinforcement learning based-algorithm to regulate and control the relative position of a deputy satellite in an autonomous satellite docking problem. The optimal control policy is…

Systems and Control · Electrical Eng. & Systems 2023-05-25 Omar Qasem , Madhur Tiwari , Hector Gutierrez

This paper presents a new formulation for model-free robust optimal regulation of continuous-time nonlinear systems. The proposed reinforcement learning based approach, referred to as incremental adaptive dynamic programming (IADP),…

Systems and Control · Electrical Eng. & Systems 2022-03-25 Cong Li , Yongchao Wang , Fangzhou Liu , Qingchen Liu , Martin Buss

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…

Systems and Control · Computer Science 2017-07-25 Rushikesh Kamalapurkar , Huyen Dinh , Shubhendu Bhasin , Warren Dixon

Classical adaptive control proves total-system stability for control of linear plants, but only for plants meeting very restrictive assumptions. Approximate Dynamic Programming (ADP) has the potential, in principle, to ensure stability…

adap-org · Physics 2015-06-24 Paul J. Werbos

Approximate dynamic programming is a popular method for solving large Markov decision processes. This paper describes a new class of approximate dynamic programming (ADP) methods- distributionally robust ADP-that address the curse of…

Machine Learning · Statistics 2012-05-22 Marek Petrik

Autonomous robot navigation systems often rely on hierarchical planning, where global planners compute collision-free paths without considering dynamics, and local planners enforce dynamics constraints to produce executable commands. This…

Robotics · Computer Science 2025-10-14 Yuanjie Lu , Mingyang Mao , Tong Xu , Linji Wang , Xiaomin Lin , Xuesu Xiao

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…

Systems and Control · Electrical Eng. & Systems 2020-07-07 Ziyu Lin , Jingliang Duan , Shengbo Eben Li , Haitong Ma , Yuming Yin

Model-free policy learning has enabled robust performance of complex tasks with relatively simple algorithms. However, this simplicity comes at the cost of requiring an Oracle and arguably very poor sample complexity. This renders such…

Robotics · Computer Science 2017-11-10 James Harrison , Animesh Garg , Boris Ivanovic , Yuke Zhu , Silvio Savarese , Li Fei-Fei , Marco Pavone

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 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

Trajectory optimization considers the problem of deciding how to control a dynamical system to move along a trajectory which minimizes some cost function. Differential Dynamic Programming (DDP) is an optimal control method which utilizes a…

Systems and Control · Computer Science 2017-01-10 David D. Fan , Evangelos A. Theodorou

Adaptive control provides techniques for adjusting control parameters in real time to maintain system performance despite unknown or changing process parameters. These methods use real data to tune controllers and adjust plant models or…

Systems and Control · Electrical Eng. & Systems 2024-06-12 Ioan Doré Landau , Rogelio Lozano , Mohammed M Saad , Alireza Karimi
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