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Most passivity based trajectory tracking algorithms for mechanical systems can only stabilise reference trajectories that have constant energy. This paper overcomes this limitation by deriving a single variable Hamiltonian model for the…

Systems and Control · Electrical Eng. & Systems 2021-07-30 Robert Mahony

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

The convergence of policy gradient algorithms in reinforcement learning hinges on the optimization landscape of the underlying optimal control problem. Theoretical insights into these algorithms can often be acquired from analyzing those of…

Machine Learning · Computer Science 2023-11-01 Jingliang Duan , Wenhan Cao , Yang Zheng , Lin Zhao

We develop a learning-based control algorithm for unknown dynamical systems under very severe data limitations. Specifically, the algorithm has access to streaming and noisy data only from a single and ongoing trial. It accomplishes such…

Systems and Control · Electrical Eng. & Systems 2021-12-30 Franck Djeumou , Ufuk Topcu

In this paper we consider a recently developed distributed optimization algorithm based on gradient tracking. We propose a system theory framework to analyze its structural properties on a preliminary, quadratic optimization set-up.…

Systems and Control · Electrical Eng. & Systems 2020-06-03 Michelangelo Bin , Ivano Notarnicola , Lorenzo Marconi , Giuseppe Notarstefano

Dynamic maneuvers for legged robots present a difficult challenge due to the complex dynamics and contact constraints. This paper introduces a versatile trajectory optimization framework for continuous-time multi-phase problems. We…

Robotics · Computer Science 2024-09-20 Ethan Chandler , Akshay Jaitly , Mahdi Agheli

Many real-world problems require to optimise trajectories under constraints. Classical approaches are based on optimal control methods but require an exact knowledge of the underlying dynamics, which could be challenging or even out of…

Applications · Statistics 2021-02-08 Florent Dewez , Benjamin Guedj , Arthur Talpaert , Vincent Vandewalle

Trajectory generation and trajectory prediction are two critical tasks in autonomous driving, which generate various trajectories for testing during development and predict the trajectories of surrounding vehicles during operation,…

Machine Learning · Computer Science 2024-03-26 Ruochen Jiao , Yixuan Wang , Xiangguo Liu , Chao Huang , Qi Zhu

With the development of robotics, ground robots are no longer limited to planar motion. Passive height variation due to complex terrain and active height control provided by special structures on robots require a more general navigation…

Robotics · Computer Science 2023-02-08 Jingping Wang , Long Xu , Haoran Fu , Zehui Meng , Chao Xu , Yanjun Cao , Ximin Lyu , Fei Gao

This work presents DMPC (Data-and Model-Driven Predictive Control) to solve control problems in which some of the constraints or parts of the objective function are known, while others are entirely unknown to the controller. It is assumed…

Systems and Control · Electrical Eng. & Systems 2021-03-02 Hassan Jafarzadeh , Cody Fleming

In this work, we specialize contributions from prior work on data-driven trajectory generation for a quadrotor system with motor saturation constraints. When motors saturate in quadrotor systems, there is an ``uncontrolled drift" of the…

Robotics · Computer Science 2025-05-16 Anusha Srikanthan , Hanli Zhang , Spencer Folk , Vijay Kumar , Nikolai Matni

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

We develop data-driven algorithms for reachability analysis and control of systems with a priori unknown nonlinear dynamics. The resulting algorithms not only are suitable for settings with real-time requirements but also provide provable…

Systems and Control · Electrical Eng. & Systems 2021-12-20 Franck Djeumou , Abraham P. Vinod , Eric Goubault , Sylvie Putot , Ufuk Topcu

In this paper, we develop a computationally-efficient approach to minimum-time trajectory optimization using input-output data-based models, to produce an end-to-end data-to-control solution to time-optimal planning/control of dynamic…

Systems and Control · Electrical Eng. & Systems 2023-12-12 Nan Li , Ehsan Taheri , Ilya Kolmanovsky , Dimitar Filev

This paper presents a technique to cope with the gap between high-level planning, e.g., reference trajectory tracking, and low-level controlling using a learning-based method in the plan-based control paradigm. The technique improves the…

Robotics · Computer Science 2024-01-23 Geesara Kulathunga , Hany Hamed , Alexandr Klimchik

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

The optimal control input for linear systems can be solved from algebraic Riccati equation (ARE), from which it remains questionable to get the form of the exact solution. In engineering, the acceptable numerical solutions of ARE can be…

Systems and Control · Electrical Eng. & Systems 2022-01-07 Shengbo Wang , Shiping Wen , Kaibo Shi , Song Zhu , Tingwen Huang

Trajectory optimization with contact-rich behaviors has recently gained attention for generating diverse locomotion behaviors without pre-specified ground contact sequences. However, these approaches rely on precise models of robot dynamics…

Robotics · Computer Science 2020-09-29 Luke Drnach , Ye Zhao

This work presents a methodology to design trajectory tracking feedback control laws, which embed non-parametric statistical models, such as Gaussian Processes (GPs). The aim is to minimize unmodeled dynamics such as undesired slippages.…

Robotics · Computer Science 2022-11-22 Luigi Freda , Mario Gianni , Fiora Pirri

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
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