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In this paper, we propose two novel decentralized optimization frameworks for multi-agent nonlinear optimal control problems in robotics. The aim of this work is to suggest architectures that inherit the computational efficiency and…

Systems and Control · Electrical Eng. & Systems 2022-08-09 Augustinos D. Saravanos , Yuichiro Aoyama , Hongchang Zhu , Evangelos A. Theodorou

In complex engineered systems, completing an objective is sometimes not enough. The system must be able to reach a set performance characteristic, such as an unmanned aerial vehicle flying from point A to point B, \textit{under 10 seconds}.…

Optimization and Control · Mathematics 2015-06-03 Manan Gandhi

Most, if not all, robot navigation systems employ a decomposed planning framework that includes global and local planning. To trade-off onboard computation and plan quality, current systems have to limit all robot dynamics considerations…

Robotics · Computer Science 2025-10-08 Yuanjie Lu , Tong Xu , Linji Wang , Nick Hawes , Xuesu Xiao

Navigating mobile robots through environments shared with humans is challenging. From the perspective of the robot, humans are dynamic obstacles that must be avoided. These obstacles make the collision-free space nonconvex, which leads to…

Robotics · Computer Science 2023-03-15 O. de Groot , L. Ferranti , D. Gavrila , J. Alonso-Mora

In this paper, we present a novel maximum entropy formulation of the Differential Dynamic Programming algorithm and derive two variants using unimodal and multimodal value functions parameterizations. By combining the maximum entropy…

Optimization and Control · Mathematics 2022-03-01 Oswin So , Ziyi Wang , Evangelos A. Theodorou

Path-planning for autonomous vehicles in threat-laden environments is a fundamental challenge. While traditional optimal control methods can find ideal paths, the computational time is often too slow for real-time decision-making. To solve…

Optimization and Control · Mathematics 2026-04-15 Qiang Le , Yaguang Yang , Isaac E. Weintraub

Trajectory optimization is a fundamental problem in robotics. While optimization of continuous control trajectories is well developed, many applications require both discrete and continuous, i.e., hybrid, controls. Finding an optimal…

Robotics · Computer Science 2017-03-03 Joni Pajarinen , Ville Kyrki , Michael Koval , Siddhartha Srinivasa , Jan Peters , Gerhard Neumann

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

We present a navigation system that combines ideas from hierarchical planning and machine learning. The system uses a traditional global planner to compute optimal paths towards a goal, and a deep local trajectory planner and velocity…

In this work, we consider the problem of decentralized multi-robot target tracking and obstacle avoidance in dynamic environments. Each robot executes a local motion planning algorithm which is based on model predictive control (MPC). The…

Robotics · Computer Science 2019-09-04 Rahul Tallamraju , Sujit Rajappa , Michael Black , Kamalakar Karlapalem , Aamir Ahmad

The conditional diffusion model has been demonstrated as an efficient tool for learning robot policies, owing to its advancement to accurately model the conditional distribution of policies. The intricate nature of real-world scenarios,…

Robotics · Computer Science 2024-07-03 Wenhao Yu , Jie Peng , Huanyu Yang , Junrui Zhang , Yifan Duan , Jianmin Ji , Yanyong Zhang

Offline optimal planning of trajectories for redundant robots along prescribed task space paths is usually broken down into two consecutive processes: first, the task space path is inverted to obtain a joint space path, then, the latter is…

Robotics · Computer Science 2023-12-13 Enrico Ferrentino , Heitor J. Savino , Antonio Franchi , Pasquale Chiacchio

This paper presents a sensor-level mapless collision avoidance algorithm for use in mobile robots that map raw sensor data to linear and angular velocities and navigate in an unknown environment without a map. An efficient training strategy…

Artificial Intelligence · Computer Science 2021-02-24 Hanlin Niu , Ze Ji , Farshad Arvin , Barry Lennox , Hujun Yin , Joaquin Carrasco

This paper examines the question of finding feasible points to discrete-time optimal control problems. The optimization problem of finding a feasible trajectory is transcribed to an unconstrained optimal control problem. An efficient…

Optimization and Control · Mathematics 2024-07-08 David Kiessling , Katrin Baumgärtner , Jonathan Frey , Wilm Decré , Jan Swevers , Moritz Diehl

Differential dynamic programming (DDP) is a direct single shooting method for trajectory optimization. Its efficiency derives from the exploitation of temporal structure (inherent to optimal control problems) and explicit…

Differential drive robots are widely used in various scenarios thanks to their straightforward principle, from household service robots to disaster response field robots. There are several types of driving mechanisms for real-world…

Robotics · Computer Science 2025-05-30 Mengke Zhang , Nanhe Chen , Hu Wang , Jianxiong Qiu , Zhichao Han , Qiuyu Ren , Chao Xu , Fei Gao , Yanjun Cao

Autonomous agents are limited in their ability to observe the world state. Partially observable Markov decision processes (POMDPs) formally model the problem of planning under world state uncertainty, but POMDPs with continuous actions and…

Robotics · Computer Science 2020-07-08 Dicong Qiu , Yibiao Zhao , Chris L. Baker

This paper presents a Differential Dynamic Programming (DDP) framework for trajectory optimization (TO) of hybrid systems with state-based switching. The proposed Hybrid Systems DDP (HS-DDP) approach is considered for application to…

Robotics · Computer Science 2020-08-12 He Li , Patrick M. Wensing

A discrete-time stochastic optimal control problem was recently proposed to address the GLOSA (Green Light Optimal Speed Advisory) problem in cases where the next signal switching time is decided in real time and is therefore uncertain in…

Optimization and Control · Mathematics 2022-11-23 Panagiotis Typaldos , Markos Papageorgiou

This paper presents a novel approach using sensitivity analysis for generalizing Differential Dynamic Programming (DDP) to systems characterized by implicit dynamics, such as those modelled via inverse dynamics and variational or implicit…

Robotics · Computer Science 2024-08-29 Iordanis Chatzinikolaidis , Zhibin Li