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Related papers: On-Line Policy Iteration with Trajectory-Driven Po…

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Nonlinear trajectory optimization algorithms have been developed to handle optimal control problems with nonlinear dynamics and nonconvex constraints in trajectory planning. The performance and computational efficiency of many trajectory…

Optimization and Control · Mathematics 2024-01-17 Taewan Kim , Purnanand Elango , Danylo Malyuta , Behcet Acikmese

In this article, we discuss two algorithms tailored to discrete-time deterministic finite-horizon nonlinear optimal control problems or so-called deterministic trajectory optimization problems. Both algorithms can be derived from an…

Optimization and Control · Mathematics 2024-12-10 Mohammad Mahmoudi Filabadi , Tom Lefebvre , Guillaume Crevecoeur

We consider deterministic infinite horizon optimal control problems with nonnegative stage costs. We draw inspiration from learning model predictive control scheme designed for continuous dynamics and iterative tasks, and propose a rollout…

Optimization and Control · Mathematics 2021-09-30 Yuchao Li , Karl H. Johansson , Jonas Mårtensson , Dimitri P. Bertsekas

In this paper we propose an on-line policy iteration (PI) algorithm for finite-state infinite horizon discounted dynamic programming, whereby the policy improvement operation is done on-line, only for the states that are encountered during…

Optimization and Control · Mathematics 2021-06-03 Dimitri Bertsekas

Imitation learning is a well-established approach for machine-learning-based control. However, its applicability depends on having access to demonstrations, which are often expensive to collect and/or suboptimal for solving the task. In…

Robotics · Computer Science 2026-04-27 Jon Goikoetxea , Jesús F. Palacián

A key barrier to using reinforcement learning (RL) in many real-world applications is the requirement of a large number of system interactions to learn a good control policy. Off-policy and Offline RL methods have been proposed to reduce…

Machine Learning · Computer Science 2022-12-02 Wenqi Cui , Linbin Huang , Weiwei Yang , Baosen Zhang

Optimal state-feedback controllers, capable of changing between different objective functions, are advantageous to systems in which unexpected situations may arise. However, synthesising such controllers, even for a single objective, is a…

Systems and Control · Computer Science 2020-10-13 Christopher Iliffe Sprague , Dario Izzo , Petter Ögren

Trajectory optimization (TO) is an efficient tool to generate a redundant manipulator's joint trajectory following a 6-dimensional Cartesian path. The optimization performance largely depends on the quality of initial trajectories. However,…

Robotics · Computer Science 2026-02-10 Minsung Yoon , Mincheul Kang , Daehyung Park , Sung-Eui Yoon

This paper presents a trajectory generation method that optimizes a quadratic cost functional with respect to linear system dynamics and to linear input and state constraints. The method is based on continuous-time flatness-based trajectory…

Systems and Control · Computer Science 2012-11-27 Jean-Francois Stumper , Ralph Kennel

This paper presents an optimization-based receding horizon trajectory planning algorithm for dynamical systems operating in unstructured and cluttered environments. The proposed approach is a two-step procedure that uses a motion planning…

Optimization and Control · Mathematics 2019-12-12 Kristoffer Bergman , Oskar Ljungqvist , Torkel Glad , Daniel Axehill

Non-prehensile manipulation in high-dimensional systems is challenging for a variety of reasons. One of the main reasons is the computationally long planning times that come with a large state space. Trajectory optimisation algorithms have…

Robotics · Computer Science 2024-09-13 David Russell , Rafael Papallas , Mehmet Dogar

Policy iteration is one of the classical frameworks of reinforcement learning, which requires a known initial stabilizing control. However, finding the initial stabilizing control depends on the known system model. To relax this requirement…

Systems and Control · Electrical Eng. & Systems 2025-03-20 Dongdong Li , Jiuxiang Dong

A data-based policy for iterative control task is presented. The proposed strategy is model-free and can be applied whenever safe input and state trajectories of a system performing an iterative task are available. These trajectories,…

Systems and Control · Computer Science 2019-03-22 Ugo Rosolia , Xiaojing Zhang , Francesco Borrelli

A common pipeline in learning-based control is to iteratively estimate a model of system dynamics, and apply a trajectory optimization algorithm - e.g.~$\mathtt{iLQR}$ - on the learned model to minimize a target cost. This paper conducts a…

Machine Learning · Computer Science 2023-05-17 Daniel Pfrommer , Max Simchowitz , Tyler Westenbroek , Nikolai Matni , Stephen Tu

The goal of this paper is to present a method for simultaneous trajectory and local stabilizing policy optimization to generate local policies for trajectory-centric model-based reinforcement learning (MBRL). This is motivated by the fact…

We propose an online planning approach for racing that generates the time-optimal trajectory for the upcoming track section. The resulting trajectory takes the current vehicle state, effects caused by \acl{3D} track geometries, and speed…

Robotics · Computer Science 2023-08-01 Matthias Rowold , Levent Ögretmen , Ulf Kasolowsky , Boris Lohmann

Iterative trajectory optimization techniques for non-linear dynamical systems are among the most powerful and sample-efficient methods of model-based reinforcement learning and approximate optimal control. By leveraging time-variant local…

Systems and Control · Electrical Eng. & Systems 2019-08-01 Onur Celik , Hany Abdulsamad , Jan Peters

For safe and efficient planning and control in autonomous driving, we need a driving policy which can achieve desirable driving quality in long-term horizon with guaranteed safety and feasibility. Optimization-based approaches, such as…

Artificial Intelligence · Computer Science 2017-07-11 Liting Sun , Cheng Peng , Wei Zhan , Masayoshi Tomizuka

This paper presents policy-based motion planning for robotic systems. The motion planning literature has been mostly focused on open-loop trajectory planning which is followed by tracking online. In contrast, we solve the problem of path…

Robotics · Computer Science 2024-01-08 Guoxiang Zhao , Devesh K. Jha , Yebin Wang , Minghui Zhu

We present an approach for approximately solving discrete-time stochastic optimal-control problems by combining direct trajectory optimization, deterministic sampling, and policy optimization. Our feedback motion-planning algorithm uses a…

Robotics · Computer Science 2023-01-12 Taylor A. Howell , Chunjiang Fu , Zachary Manchester
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